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BT 34.016 760.940 Td /F1 28.5 Tf [(Applied Partial Differential Equations 5th )] TJ ET
BT 34.016 726.142 Td /F1 28.5 Tf [(Edition)] TJ ET
BT 34.016 671.918 Td /F1 14.2 Tf [(Thank you for reading )] TJ ET
BT 176.587 671.918 Td /F1 14.2 Tf [(Applied Partial Differential Equations 5th Edition)] TJ ET
BT 479.143 671.918 Td /F1 14.2 Tf [(. Maybe you )] TJ ET
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BT 34.016 400.427 Td /F1 14.2 Tf [(An Introduction to Differential Equations and Their Applications)] TJ ET
BT 430.037 400.427 Td /F1 14.2 Tf [( Stanley J. Farlow )] TJ ET
BT 34.016 383.028 Td /F1 14.2 Tf [(2012-10-23 This introductory text explores 1st- and 2nd-order differential )] TJ ET
BT 34.016 365.628 Td /F1 14.2 Tf [(equations, series solutions, the Laplace transform, difference equations, much )] TJ ET
BT 34.016 348.229 Td /F1 14.2 Tf [(more. Numerous figures, problems with solutions, notes. 1994 edition. Includes )] TJ ET
BT 34.016 330.830 Td /F1 14.2 Tf [(268 figures and 23 tables.)] TJ ET
BT 34.016 313.431 Td /F1 14.2 Tf [(Applied Partial Differential Equations)] TJ ET
BT 265.279 313.431 Td /F1 14.2 Tf [( J. R. Ockendon 2003 Partial differential )] TJ ET
BT 34.016 296.031 Td /F1 14.2 Tf [(equations are used in mathematical models of a huge range of real-world )] TJ ET
BT 34.016 278.632 Td /F1 14.2 Tf [(phenomena, from electromagnetism to financial markets. This new edition of )] TJ ET
BT 34.016 261.233 Td /F1 14.2 Tf [(Applied PDEs contains many new sections and exercises Including, American )] TJ ET
BT 34.016 243.834 Td /F1 14.2 Tf [(options, transform methods, free surface flows, linear elasticity and complex )] TJ ET
BT 34.016 226.434 Td /F1 14.2 Tf [(characteristics.)] TJ ET
BT 34.016 209.035 Td /F1 14.2 Tf [(Partial Differential Equations)] TJ ET
BT 213.794 209.035 Td /F1 14.2 Tf [( Walter A. Strauss 2007-12-21 Partial Differential )] TJ ET
BT 34.016 191.636 Td /F1 14.2 Tf [(Equations presents a balanced and comprehensive introduction to the concepts )] TJ ET
BT 34.016 174.237 Td /F1 14.2 Tf [(and techniques required to solve problems containing unknown functions of )] TJ ET
BT 34.016 156.837 Td /F1 14.2 Tf [(multiple variables. While focusing on the three most classical partial differential )] TJ ET
BT 34.016 139.438 Td /F1 14.2 Tf [(equations \(PDEs\)—the wave, heat, and Laplace equations—this detailed text also )] TJ ET
BT 34.016 122.039 Td /F1 14.2 Tf [(presents a broad practical perspective that merges mathematical concepts with )] TJ ET
BT 34.016 104.640 Td /F1 14.2 Tf [(real-world application in diverse areas including molecular structure, photon and )] TJ ET
BT 34.016 87.240 Td /F1 14.2 Tf [(electron interactions, radiation of electromagnetic waves, vibrations of a solid, and )] TJ ET
BT 34.016 69.841 Td /F1 14.2 Tf [(many more. Rigorous pedagogical tools aid in student comprehension; advanced )] TJ ET
BT 34.016 52.442 Td /F1 14.2 Tf [(topics are introduced frequently, with minimal technical jargon, and a wealth of )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(exercises reinforce vital skills and invite additional self-study. Topics are presented )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(in a logical progression, with major concepts such as wave propagation, heat and )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(diffusion, electrostatics, and quantum mechanics placed in contexts familiar to )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(students of various fields in science and engineering. By understanding the )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(properties and applications of PDEs, students will be equipped to better analyze )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(and interpret central processes of the natural world.)] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(Solution Techniques for Elementary Partial Differential Equations)] TJ ET
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BT 443.475 689.559 Td /F1 14.2 Tf [( Christian )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(Constanda 2022-08-10 "In my opinion, this is quite simply the best book of its kind )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(the Foreword to the Fourth Edition Praise for the previous editions An ideal tool for )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(students taking a first course in PDEs, as well as for the lecturers who teach such )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(courses." —Marian Aron, Plymouth University, UK "This is one of the best books )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(on elementary PDEs this reviewer has read so far. Highly recommended." )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(—CHOICE Solution Techniques for Elementary Partial Differential Equations, )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(Fourth Edition remains a top choice for a standard, undergraduate-level course on )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(partial differential equations \(PDEs\). It provides a streamlined, direct approach to )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(developing students’ competence in solving PDEs, and offers concise, easily )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(understood explanations and worked examples that enable students to see the )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(techniques in action. New to the Fourth Edition Two additional sections A larger )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(number and variety of worked examples and exercises A companion pdf file )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(containing more detailed worked examples to supplement those in the book, which )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(can be used in the classroom and as an aid to online teaching)] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(Partial Differential Equations and Boundary-value Problems with Applications)] TJ ET
BT 519.499 411.171 Td /F1 14.2 Tf [( Mark )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(A. Pinsky 2011 Building on the basic techniques of separation of variables and )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(Fourier series, the book presents the solution of boundary-value problems for )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(basic partial differential equations: the heat equation, wave equation, and Laplace )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(equation, considered in various standard coordinate systems--rectangular, )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(cylindrical, and spherical. Each of the equations is derived in the three-dimensional )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(context; the solutions are organized according to the geometry of the coordinate )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(system, which makes the mathematics especially transparent. Bessel and )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(Legendre functions are studied and used whenever appropriate throughout the )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(text. The notions of steady-state solution of closely related stationary solutions are )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(developed for the heat equation; applications to the study of heat flow in the earth )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(are presented. The problem of the vibrating string is studied in detail both in the )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(Fourier transform setting and from the viewpoint of the explicit representation )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(\(d'Alembert formula\). Additional chapters include the numerical analysis of )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(solutions and the method of Green's functions for solutions of partial differential )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(equations. The exposition also includes asymptotic methods \(Laplace transform )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(and stationary phase\). With more than 200 working examples and 700 exercises )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(\(more than 450 with answers\), the book is suitable for an undergraduate course in )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(partial differential equations.)] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(Differential Equations and Boundary Value Problems: Computing and Modeling, )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(Global Edition)] TJ ET
BT 122.722 63.186 Td /F1 14.2 Tf [( C. Henry Edwards 2016-03-02 For introductory courses in )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(Differential Equations. This best-selling text by these well-known authors blends )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(the traditional algebra problem solving skills with the conceptual development and )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(geometric visualisation of a modern differential equations course that is essential )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(to science and engineering students. It reflects the new qualitative approach that is )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(altering the learning of elementary differential equations, including the wide )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(availability of scientific computing environments like Maple, Mathematica, and )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(MATLAB. Its focus balances the traditional manual methods with the new )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(computer-based methods that illuminate qualitative phenomena and make )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(accessible a wider range of more realistic applications. Seldom-used topics have )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(been trimmed and new topics added: it starts and ends with discussions of )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(mathematical modeling of real-world phenomena, evident in figures, examples, )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(problems, and applications throughout the text. The full text downloaded to your )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(computer With eBooks you can: search for key concepts, words and phrases make )] TJ ET
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BT 34.016 550.365 Td /F1 14.2 Tf [(downloaded to your computer and accessible either offline through the Bookshelf )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(\(available as a free download\), available online and also via the iPad and Android )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(apps. Upon purchase, you'll gain instant access to this eBook. Time limit The )] TJ ET
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BT 34.016 480.768 Td /F1 14.2 Tf [(digital ebook products whilst you have your Bookshelf installed.)] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(Applied Partial Differential Equations)] TJ ET
BT 265.279 463.369 Td /F1 14.2 Tf [( Richard Haberman 2013 Normal 0 false false )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(false This book emphasizes the physical interpretation of mathematical solutions )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(and introduces applied mathematics while presenting differential equations. )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(Coverage includes Fourier series, orthogonal functions, boundary value problems, )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(Green's functions, and transform methods. This text is ideal for readers interested )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(in science, engineering, and applied mathematics.)] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Boundary Value Problems)] TJ ET
BT 199.544 358.974 Td /F1 14.2 Tf [( David L. Powers 2006 Boundary Value Problems is the )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(leading text on boundary value problems and Fourier series. The author, David )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(Powers, \(Clarkson\) has written a thorough, theoretical overview of solving )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(boundary value problems involving partial differential equations by the methods of )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(separation of variables. Professors and students agree that the author is a master )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(at creating linear problems that adroitly illustrate the techniques of separation of )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(variables used to solve science and engineering. * CD with animations and )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(graphics of solutions, additional exercises and chapter review questions * Nearly )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(900 exercises ranging in difficulty * Many fully worked examples)] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(Scaling of Differential Equations)] TJ ET
BT 235.981 202.380 Td /F1 14.2 Tf [( Hans Petter Langtangen 2016-06-15 The book )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(serves both as a reference for various scaled models with corresponding )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(dimensionless numbers, and as a resource for learning the art of scaling. A special )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(feature of the book is the emphasis on how to create software for scaled models, )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(based on existing software for unscaled models. Scaling \(or non-)] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(dimensionalization\) is a mathematical technique that greatly simplifies the setting )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(of input parameters in numerical simulations. Moreover, scaling enhances the )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(understanding of how different physical processes interact in a differential equation )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(model. Compared to the existing literature, where the topic of scaling is frequently )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(encountered, but very often in only a brief and shallow setting, the present book )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(gives much more thorough explanations of how to reason about finding the right )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(scales. This process is highly problem dependent, and therefore the book features )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(a lot of worked examples, from very simple ODEs to systems of PDEs, especially )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(from fluid mechanics. The text is easily accessible and example-driven. The first )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(part on ODEs fits even a lower undergraduate level, while the most advanced )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(multiphysics fluid mechanics examples target the graduate level. The scientific )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(literature is full of scaled models, but in most of the cases, the scales are just )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(stated without thorough mathematical reasoning. This book explains how the )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(scales are found mathematically. This book will be a valuable read for anyone )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(doing numerical simulations based on ordinary or partial differential equations.)] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(Partial Differential Equations)] TJ ET
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34.016 600.212 m 213.794 600.212 l S
BT 213.794 602.563 Td /F1 14.2 Tf [( Roland Glowinski 2008-06-26 For more than 250 )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(years partial di?erential equations have been clearly the most important tool )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(available to mankind in order to understand a large variety of phenomena, natural )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(at ?rst and then those originating from - man activity and technological )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(development. Mechanics, physics and their engineering applications were the ?rst )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(to bene?t from the impact of partial di?erential equations on modeling and design, )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(but a little less than a century ago the Schr ? odinger equation was the key )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(opening the door to the application of partial di?erential equations to quantum )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(chemistry, for small atomic and molecular systems at ?rst, but then for systems of )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(fast growing complexity. The place of partial di?erential equations in mathematics )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(is a very particular one: initially, the partial di?erential equations modeling natural )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(phenomena were derived by combining calculus with physical reasoning in order )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(to - press conservation laws and principles in partial di?erential equation form, )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(leading to the wave equation, the heat equation, the equations of elasticity, the )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-)] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(developed the series bearing his name in the early 19th century; Fourier series )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(\(and later integrals\) have played \(and still play\) a fundamental )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(di?erential equations. On the other hand, several areas of mathematics such as )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(di?erential ge- etry have bene?ted from their interactions with partial di?erential )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(equations.)] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(Introductory Differential Equations)] TJ ET
BT 248.649 219.780 Td /F1 14.2 Tf [( Martha L. L. Abell 2014-08-19 Introductory )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(Differential Equations, Fourth Edition, offers both narrative explanations and robust )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(sample problems for a first semester course in introductory ordinary differential )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(equations \(including Laplace transforms\) and a second course in Fourier series )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(and boundary value problems. The book provides the foundations to assist )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(students in learning not only how to read and understand differential equations, but )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(also how to read technical material in more advanced texts as they progress )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(through their studies. This text is for courses that are typically called \(Introductory\) )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(Differential Equations, \(Introductory\) Partial Differential Equations, Applied )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(Mathematics, and Fourier Series. It follows a traditional approach and includes )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(ancillaries like Differential Equations with Mathematica and/or Differential )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Equations with Maple. Because many students need a lot of pencil-and-paper )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(practice to master the essential concepts, the exercise sets are particularly )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(comprehensive with a wide array of exercises ranging from straightforward to )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(challenging. There are also new applications and extended projects made relevant )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(to everyday life through the use of examples in a broad range of contexts. This )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(book will be of interest to undergraduates in math, biology, chemistry, economics, )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(environmental sciences, physics, computer science and engineering. Provides the )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(foundations to assist students in learning how to read and understand the subject, )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(but also helps students in learning how to read technical material in more )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(advanced texts as they progress through their studies Exercise sets are )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(particularly comprehensive with a wide range of exercises ranging from )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(straightforward to challenging Includes new applications and extended projects )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(made relevant to "everyday life" through the use of examples in a broad range of )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(contexts Accessible approach with applied examples and will be good for non-)] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(math students, as well as for undergrad classes)] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Differential Equations with Boundary-value Problems)] TJ ET
BT 366.639 515.567 Td /F1 14.2 Tf [( Dennis G. Zill 2005 Now )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(learning system, this proven text explains the "how" behind the material and strikes )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(a balance between the analytical, qualitative, and quantitative approaches to the )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(study of differential equations. This accessible text speaks to students through a )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(wealth of pedagogical aids, including an abundance of examples, explanations, )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [("Remarks" boxes, definitions, and group projects. This book was written with the )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(student's understanding firmly in mind. Using a straightforward, readable, and )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(helpful style, this book provides a thorough treatment of boundary-value problems )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(and partial differential equations.)] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(Applied Partial Differential Equations)] TJ ET
BT 265.279 341.574 Td /F1 14.2 Tf [( J. David Logan 2014-12-05 This textbook is )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(for the standard, one-semester, junior-senior course that often goes by the title )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [("Elementary Partial Differential Equations" or "Boundary Value Problems". The )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(audience consists of students in mathematics, engineering, and the sciences. The )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(topics include derivations of some of the standard models of mathematical physics )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(and methods for solving those equations on unbounded and bounded domains, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(and applications of PDE's to biology. The text differs from other texts in its brevity; )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(yet it provides coverage of the main topics usually studied in the standard course, )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(as well as an introduction to using computer algebra packages to solve and )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(understand partial differential equations. For the 3rd edition the section on )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(numerical methods has been considerably expanded to reflect their central role in )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(PDE's. A treatment of the finite element method has been included and the code )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(for numerical calculations is now written for MATLAB. Nonetheless the brevity of )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(the text has been maintained. To further aid the reader in mastering the material )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(and using the book, the clarity of the exercises has been improved, more routine )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(exercises have been included, and the entire text has been visually reformatted to )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(improve readability.)] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Partial Differential Equations with Fourier Series and Boundary Value Problems)] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(Nakhle H. Asmar 2017-03-23 Rich in proofs, examples, and exercises, this widely )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(adopted text emphasizes physics and engineering applications. The Student )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Solutions Manual can be downloaded free from Dover's site; the Instructor )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(Solutions Manual is available upon request. 2004 edition, with minor revisions.)] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(Partial Differential Equations)] TJ ET
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34.016 687.208 m 213.794 687.208 l S
BT 213.794 689.559 Td /F1 14.2 Tf [( A. K. Nandakumaran 2020-10-29 Suitable for both )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(senior undergraduate and graduate students, this is a self-contained book dealing )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(with the classical theory of the partial differential equations through a modern )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(approach; requiring minimal previous knowledge. It represents the solutions to )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(three important equations of mathematical physics – Laplace and Poisson )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(equations, Heat or diffusion equation, and wave equations in one and more space )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(dimensions. Keen readers will benefit from more advanced topics and many )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(references cited at the end of each chapter. In addition, the book covers advanced )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-)] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(life applications are interspersed throughout the book to retain readers' interest.)] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(A First Course in Differential Equations with Modeling Applications)] TJ ET
BT 451.370 515.567 Td /F1 14.2 Tf [( Dennis G. Zill )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(2012-03-15 A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(MODELING APPLICATIONS, 10th Edition strikes a balance between the )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(analytical, qualitative, and quantitative approaches to the study of differential )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(equations. This proven and accessible text speaks to beginning engineering and )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(math students through a wealth of pedagogical aids, including an abundance of )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(examples, explanations, Remarks boxes, definitions, and group projects. Written in )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(a straightforward, readable, and helpful style, this book provides a thorough )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(treatment of boundary-value problems and partial differential equations. Important )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Notice: Media content referenced within the product description or the product text )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(may not be available in the ebook version.)] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(Singular Differential Equations and Special Functions)] TJ ET
BT 369.831 324.175 Td /F1 14.2 Tf [( Luis Manuel Braga da Costa )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(Campos 2019-11-05 Singular Differential Equations and Special Functions is the )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(fifth book within Ordinary Differential Equations with Applications to Trajectories )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(and Vibrations, Six-volume Set. As a set they are the fourth volume in the series )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(Mathematics and Physics Applied to Science and Technology. This fifth book )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(consists of one chapter \(chapter 9 of the set\). The chapter starts with general )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(classes of differential equations and simultaneous systems for which the properties )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(of the solutions can be established 'a priori', such as existence and unicity of )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(solution, robustness and uniformity with regard to changes in boundary conditions )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(and parameters, and stability and asymptotic behavior. The book proceeds to )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(consider the most important class of linear differential equations with variable )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(coefficients, that can be analytic functions or have regular or irregular singularities. )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(The solution of singular differential equations by means of \(i\) power series; \(ii\) )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(parametric integral transforms; and \(iii\) continued fractions lead to more than 20 )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(special functions; among these is given greater attention to generalized circular, )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(functions that specify their solutions. Includes existence, unicity, robustness, )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(uniformity, and other theorems for non-linear differential equations Discusses )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(properties of dynamical systems derived from the differential equations describing )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(them, using methods such as Liapunov functions Includes linear differential )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(equations with periodic coefficients, including Floquet theory, Hill infinite )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(determinants and multiple parametric resonance Details theory of the generalized )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(Bessel differential equation, and of the generalized, Gaussian, confluent and )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(extended hypergeometric functions and relations with other 20 special functions )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Examines Linear Differential Equations with analytic coefficients or regular or )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(irregular singularities, and solutions via power series, parametric integral )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(transforms, and continued fractions)] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(Introduction to Partial Differential Equations)] TJ ET
BT 308.057 602.563 Td /F1 14.2 Tf [( Peter J. Olver 2013-11-08 This )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(textbook is designed for a one year course covering the fundamentals of partial )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(differential equations, geared towards advanced undergraduates and beginning )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(graduate students in mathematics, science, engineering, and elsewhere. The )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(exposition carefully balances solution techniques, mathematical rigor, and )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(significant applications, all illustrated by numerous examples. Extensive exercise )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(sets appear at the end of almost every subsection, and include straightforward )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(computational problems to develop and reinforce new techniques and results, )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(details on theoretical developments and proofs, challenging projects both )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(computational and conceptual, and supplementary material that motivates the )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(student to delve further into the subject. No previous experience with the subject of )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(partial differential equations or Fourier theory is assumed, the main prerequisites )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(being undergraduate calculus, both one- and multi-variable, ordinary differential )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(equations, and basic linear algebra. While the classical topics of separation of )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(variables, Fourier analysis, boundary value problems, Green's functions, and )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(special functions continue to form the core of an introductory course, the inclusion )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(of nonlinear equations, shock wave dynamics, symmetry and similarity, the )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(quantum mechanical systems, and more make this text well attuned to recent )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(developments and trends in this active field of contemporary research. Numerical )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(approximation schemes are an important component of any introductory course, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(and the text covers the two most basic approaches: finite differences and finite )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(elements.)] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(Applied Partial Differential Equation with Fourier Series and Boundary Value )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(Problems \(Fifth Edition\))] TJ ET
BT 182.885 184.981 Td /F1 14.2 Tf [( Richard Haberman 2020 )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(Introduction to Applied Partial Differential Equations)] TJ ET
BT 359.543 167.582 Td /F1 14.2 Tf [( John M. Davis 2012-01-06 )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(Drawing on his decade of experience teaching the differential equations course, )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(John Davis offers a refreshing and effective new approach to partial differential )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(equations that is equal parts computational proficiency, visualization, and physical )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(interpretation of the problem at hand.)] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(Applied Partial Differential Equations)] TJ ET
BT 265.279 80.586 Td /F1 14.2 Tf [( J. David Logan 2004-05-11 This text is )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(written for the standard, one-semester, undergraduate course in elementary partial )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(differential equations. The topics include derivations of some of the standard )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(equations of mathematical physics \(including the heat equation, the wave )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(equation, and Laplace's equation\) and methods for solving those equations on )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(bounded and unbounded domains. Methods include eigenfunction expansions, or )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(separation of variables, and methods based on Fourier and Laplace transforms.)] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(Partial Differential Equations for Scientists and Engineers)] TJ ET
BT 395.168 706.959 Td /F1 14.2 Tf [( Stanley J. Farlow 2012-)] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(03-08 Practical text shows how to formulate and solve partial differential equations. )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(problems, numerical and approximate methods. Solution guide available upon )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(request. 1982 edition.)] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(Differential Equations with Mathematica)] TJ ET
BT 284.274 619.962 Td /F1 14.2 Tf [( Martha L. Abell 1997 The second edition )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(of this groundbreaking book integrates new applications from a variety of fields, )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(especially biology, physics, and engineering. The new handbook is also completely )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(compatible with Mathematica version 3.0 and is a perfect introduction for )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(Mathematica beginners. The CD-ROM contains built-in commands that let the )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(users solve problems directly using graphical solutions.)] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Boundary Value Problems on Time Scales, Volume II)] TJ ET
BT 369.817 515.567 Td /F1 14.2 Tf [( Svetlin G. Georgiev 2021-10-)] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(15 Boundary Value Problems on Time Scales, Volume II is devoted to the )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(qualitative theory of boundary value problems on time scales. Summarizing the )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(most recent contributions in this area, it addresses a wide audience of specialists )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(such as mathematicians, physicists, engineers and biologists. It can be used as a )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(textbook at the graduate level and as a reference book for several disciplines. The )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(text contains two volumes, both published by Chapman & Hall/CRC Press. Volume )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(I presents boundary value problems for first- and second-order dynamic equations )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(on time scales. Volume II investigates boundary value problems for three, four, )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(and higher-order dynamic equations on time scales. Many results to differential )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(equations carry over easily to corresponding results for difference equations, while )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(other results seem to be totally different in nature. Because of these reasons, the )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(theory of dynamic equations is an active area of research. The time-scale calculus )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(can be applied to any field in which dynamic processes are described by discrete )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(or continuous time models. The calculus of time scales has various applications )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(involving noncontinuous domains such as certain bug populations, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(phytoremediation of metals, wound healing, maximization problems in economics, )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(and traffic problems. Boundary value problems on time scales have been )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(extensively investigated in simulating processes and the phenomena subject to )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(short-time perturbations during their evolution. The material in this book is )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(presented in highly readable, mathematically solid format. Many practical problems )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(G. Georgiev is a mathematician who has worked in various areas of the study. He )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(currently focuses on harmonic analysis, functional analysis, partial differential )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(equations, ordinary differential equations, Clifford and quaternion analysis, integral )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(his highest diploma in Habilitation in mathematics from Constantine University, )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Algeria. He is currently assistant professor at Qassim University in the Kingdom of )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(partial differential equations: global existence, blowup, and long-time behavior.)] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Boundary Value Problems and Partial Differential Equations)] TJ ET
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34.016 722.007 m 411.014 722.007 l S
BT 411.014 724.358 Td /F1 14.2 Tf [( David L. Powers 2005-)] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(11 This student solutions manual accompanies the text, Boundary Value Problems )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(and Partial Differential Equations, 5e. The SSM is available in print via PDF or )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(electronically, and provides the student with the detailed solutions of the odd-)] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(numbered problems contained throughout the book. Provides students with )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(exercises that skillfully illustrate the techniques used in the text to solve science )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(and engineering problems Nearly 900 exercises ranging in difficulty from basic )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(drills to advanced problem-solving exercises Many exercises based on current )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(engineering applications)] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(Solution Techniques for Elementary Partial Differential Equations)] TJ ET
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34.016 565.413 m 443.475 565.413 l S
BT 443.475 567.765 Td /F1 14.2 Tf [( Christian )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(Constanda 2018-09-03 Solution Techniques for Elementary Partial Differential )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(Equations, Third Edition remains a top choice for a standard, undergraduate-level )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(course on partial differential equations \(PDEs\). Making the text even more user-)] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(friendly, this third edition covers important and widely used methods for solving )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(PDEs. New to the Third Edition New sections on the series expansion of more )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(general functions, other problems of general second-order linear equations, )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(vibrating string with other types of boundary conditions, and equilibrium )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(temperature in an infinite strip Reorganized sections that make it easier for )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(students and professors to navigate the contents Rearranged exercises that are )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(now at the end of each section/subsection instead of at the end of the chapter New )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(and improved exercises and worked examples A brief Mathematica® program for )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(nearly all of the worked examples, showing students how to verify results by )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(computer This bestselling, highly praised textbook uses a streamlined, direct )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(approach to develop students’ competence in solving PDEs. It offers concise, )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(easily understood explanations and worked examples that allow students to see )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(the techniques in action.)] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(Linear Functional Analysis)] TJ ET
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BT 200.327 271.977 Td /F1 14.2 Tf [( Hans Wilhelm Alt 2016-07-06 This book gives an )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(introduction to Linear Functional Analysis, which is a synthesis of algebra, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(topology, and analysis. In addition to the basic theory it explains operator theory, )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(distributions, Sobolev spaces, and many other things. The text is self-contained )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(and includes all proofs, as well as many exercises, most of them with solutions. )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(Moreover, there are a number of appendices, for example on Lebesgue integration )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(theory. A complete introduction to the subject, Linear Functional Analysis will be )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(particularly useful to readers who want to quickly get to the key statements and )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(who are interested in applications to differential equations.)] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(Elementary Applied Partial Differential Equations)] TJ ET
BT 341.303 115.384 Td /F1 14.2 Tf [( Richard Haberman 1998 KEY )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(BENEFIT Emphasizing physical interpretations of mathematical solutions, this )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(book introduces applied mathematics and presents partial differential equations. )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(KEY TOPICS Leading readers from simple exercises through increasingly )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(powerful mathematical techniques, this book discusses hear flow and vibrating )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(strings and membranes, for a better understand of the relationship between )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(mathematics and physical problems. It also emphasizes problem solving and )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(provides a thorough approach to solutions. The third edition of , Elementary )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Applied Partial Differential Equations; With Fourier Series and Boundary Value )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(Problems has been revised to include a new chapter covering dispersive waves. It )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(also includes new sections covering fluid flow past a circular cylinder; reflection )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(and refraction of light and sound waves; the finite element method; partial )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(differential equations with spherical geometry; eigenvalue problems with a )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(continuous and discrete spectrum; and first-order nonlinear partial differential )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(equations. An essential reference for any technical or mathematics professional.)] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(A First Course in Partial Differential Equations)] TJ ET
BT 323.861 602.563 Td /F1 14.2 Tf [( H. F. Weinberger 2012-04-20 )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(Suitable for advanced undergraduate and graduate students, this text presents the )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(general properties of partial differential equations, including the elementary theory )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(of complex variables. Solutions. 1965 edition.)] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(Introduction to Partial Differential Equations)] TJ ET
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BT 308.057 532.966 Td /F1 14.2 Tf [( K. Sankara Rao 2010 )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Mathematics for Machine Learning)] TJ ET
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34.016 513.216 m 252.596 513.216 l S
BT 252.596 515.567 Td /F1 14.2 Tf [( Marc Peter Deisenroth 2020-03-31 Distills key )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(concepts from linear algebra, geometry, matrices, calculus, optimization, )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(probability and statistics that are used in machine learning.)] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(Applied Partial Differential Equations with Fourier Series and Boundary Value )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(Problems \(Classic Version\))] TJ ET
BT 205.828 445.970 Td /F1 14.2 Tf [( Richard Haberman 2018-03-15 This title is part of the )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(a value price. Please visit www.pearsonhighered.com/math-classics-series for a )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(complete list of titles. Applied Partial Differential Equations with Fourier Series and )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(Boundary Value Problems emphasizes the physical interpretation of mathematical )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(solutions and introduces applied mathematics while presenting differential )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(equations. Coverage includes Fourier series, orthogonal functions, boundary value )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(problems, Green's functions, and transform methods. This text is ideal for readers )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(interested in science, engineering, and applied mathematics.)] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(Basic Partial Differential Equations)] TJ ET
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BT 252.596 289.377 Td /F1 14.2 Tf [( David. Bleecker 2018-01-18 Methods of )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(solution for partial differential equations \(PDEs\) used in mathematics, science, and )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(engineering are clarified in this self-contained source. The reader will learn how to )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(use PDEs to predict system behaviour from an initial state of the system and from )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(external influences, and enhance the success of endeavours involving reasonably )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(smooth, predictable changes of measurable quantities. This text enables the )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(reader to not only find solutions of many PDEs, but also to interpret and use these )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(solutions. It offers 6000 exercises ranging from routine to challenging. The )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(palatable, motivated proofs enhance understanding and retention of the material. )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(Topics not usually found in books at this level include but examined in this text: the )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(application of linear and nonlinear first-order PDEs to the evolution of population )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(densities and to traffic shocks convergence of numerical solutions of PDEs and )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(implementation on a computer convergence of Laplace series on spheres quantum )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(mechanics of the hydrogen atom solving PDEs on manifolds The text requires )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(some knowledge of calculus but none on differential equations or linear algebra.)] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Introduction to Differential Equations with Dynamical Systems)] TJ ET
BT 422.072 776.556 Td /F1 14.2 Tf [( Stephen L. )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(Campbell 2011-10-14 Many textbooks on differential equations are written to be )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(interesting to the teacher rather than the student. Introduction to Differential )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Equations with Dynamical Systems is directed toward students. This concise and )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(up-to-date textbook addresses the challenges that undergraduate mathematics, )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(engineering, and science students experience during a first course on differential )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(equations. And, while covering all the standard parts of the subject, the book )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(emphasizes linear constant coefficient equations and applications, including the )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(topics essential to engineering students. Stephen Campbell and Richard )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(Haberman--using carefully worded derivations, elementary explanations, and )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(examples, exercises, and figures rather than theorems and proofs--have written a )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(book that makes learning and teaching differential equations easier and more )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(relevant. The book also presents elementary dynamical systems in a unique and )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(flexible way that is suitable for all courses, regardless of length.)] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(Mathematical Models)] TJ ET
BT 168.635 532.966 Td /F1 14.2 Tf [( Richard Haberman 1998-12-01 The author uses )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(mathematical techniques to give an in-depth look at models for mechanical )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(vibrations, population dynamics, and traffic flow.)] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(Partial Differential Equations: Methods, Applications And Theories \(2nd Edition\))] TJ ET
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BT 34.016 463.369 Td /F1 14.2 Tf [(Harumi Hattori 2019-06-24 This is an introductory level textbook for partial )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(differential equations \(PDEs\). It is suitable for a one-semester undergraduate level )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(or two-semester graduate level course in PDEs or applied mathematics. This )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(volume is application-oriented and rich in examples. Going through these )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(examples, the reader is able to easily grasp the basics of PDEs.Chapters One to )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(Five are organized to aid understanding of the basic PDEs. They include the first-)] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(order equations and the three fundamental second-order equations, i.e. the heat, )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(wave and Laplace equations. Through these equations, we learn the types of )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(problems, how we pose the problems, and the methods of solutions such as the )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(separation of variables and the method of characteristics. The modeling aspects )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(are explained as well. The methods introduced in earlier chapters are developed )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(further in Chapters Six to Twelve. They include the Fourier series, the Fourier and )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(the Laplace transforms, and the Green's functions. Equations in higher dimensions )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(are also discussed in detail. In this second edition, a new chapter is added and )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(numerous improvements have been made including the reorganization of some )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(chapters. Extensions of nonlinear equations treated in earlier chapters are also )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(discussed.Partial differential equations are becoming a core subject in Engineering )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(and the Sciences. This textbook will greatly benefit those studying in these )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(subjects by covering basic and advanced topics in PDEs based on applications.)] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(Stochastic Differential Equations)] TJ ET
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BT 239.144 132.783 Td /F1 14.2 Tf [( Bernt Oksendal 2013-04-17 From the reviews: )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [("The author, a lucid mind with a fine pedagogical instinct, has written a splendid )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(text. He starts out by stating six problems in the introduction in which stochastic )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(differential equations play an essential role in the solution. Then, while developing )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(stochastic calculus, he frequently returns to these problems and variants thereof )] TJ ET
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BT 34.016 793.955 Td /F1 14.2 Tf [(and to many other problems to show how the theory works and to motivate the )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(next step in the theoretical development. Needless to say, he restricts himself to )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(stochastic integration with respect to Brownian motion. He is not hesitant to give )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(some basic results without proof in order to leave room for "some more basic )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(applications... The book can be an ideal text for a graduate course, but it is also )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(recommended to analysts \(in particular, those working in differential equations and )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(deterministic dynamical systems and control\) who wish to learn quickly what )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(stochastic differential equations are all about." Acta Scientiarum Mathematicarum, )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Tom 50, 3-4, 1986#1 "The book is well written, gives a lot of nice applications of )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(stochastic differential equation theory, and presents theory and applications of )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(stochastic differential equations in a way which makes the book useful for )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(mathematical seminars at a low level. \(...\) The book \(will\) really motivate scientists )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(from non-mathematical fields to try to understand the usefulness of stochastic )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(differential equations in their fields." Metrica#2)] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(APPLIED PARTIAL DIFFERENTIAL EQUATIONS 5th Ed)] TJ ET
BT 395.923 550.365 Td /F1 14.2 Tf [( RICHARD HABERMAN. )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(2013 )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Boundary Value Problems)] TJ ET
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BT 199.544 515.567 Td /F1 14.2 Tf [( David L. Powers 2014-05-10 Boundary Value Problems )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(is a text material on partial differential equations that teaches solutions of boundary )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(value problems. The book also aims to build up intuition about how the solution of )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(a problem should behave. The text consists of seven chapters. Chapter 1 covers )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(the important topics of Fourier Series and Integrals. The second chapter deals with )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(the heat equation, introducing separation of variables. Material on boundary )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(conditions and Sturm-Liouville systems is included here. Chapter 3 presents the )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(wave equation; estimation of eigenvalues by the Rayleigh quotient is mentioned )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(briefly. The potential equation is the topic of Chapter 4, which closes with a section )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(on classification of partial differential equations. Chapter 5 briefly covers )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(multidimensional problems and special functions. The last two chapters, Laplace )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(Transforms and Numerical Methods, are discussed in detail. The book is intended )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(for third and fourth year physics and engineering students.)] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(Applied Mathematics for Engineers)] TJ ET
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BT 254.976 289.377 Td /F1 14.2 Tf [( Ramin S. Esfandiari 2003-01-01 )] TJ ET
BT 36.266 244.482 Td /F1 8.0 Tf [(applied-partial-differential-equations-5th-edition)] TJ ET
BT 325.574 244.690 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 390.486 244.482 Td /F1 8.0 Tf [(siamguru.com)] TJ ET
BT 440.718 244.690 Td /F1 8.0 Tf [( on September 24, 2022 by guest)] TJ ET
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