Solution Techniques For Elementary Partial Differential Equations

Author : Christian Constanda
Publisher : CRC Press
Page : 344 pages
File Size : 44,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439811405

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Solution Techniques for Elementary Partial Differential Equations, Second Edition by Christian Constanda Pdf

Incorporating a number of enhancements, Solution Techniques for Elementary Partial Differential Equations, Second Edition presents some of the most important and widely used methods for solving partial differential equations (PDEs). The techniques covered include separation of variables, method of characteristics, eigenfunction expansion, Fourier and Laplace transformations, Green’s functions, perturbation methods, and asymptotic analysis. New to the Second Edition New sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, and spherical harmonics A new chapter on complex variable methods and systems of PDEs Additional mathematical models based on PDEs Examples that show how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace Supplementary applications of Fourier transformations The application of the method of characteristics to more general hyperbolic equations Expanded tables of Fourier and Laplace transforms in the appendix Many more examples and nearly four times as many exercises This edition continues to provide a streamlined, direct approach to developing students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. Available for qualifying instructors, the accompanying solutions manual includes full solutions to the exercises. Instructors can obtain a set of template questions for test/exam papers as well as computer-linked projector files directly from the author.

Author : Christian Constanda,Ronald B Guenther,Kuo-Ching Ma
Publisher : Chapman & Hall/CRC
Page : 99 pages
File Size : 49,9 Mb
Release : 2002-03
Category : Electronic
ISBN : 1584883111

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Solution Techniques for Elementary Partial Differential Equations by Christian Constanda,Ronald B Guenther,Kuo-Ching Ma Pdf

Author : Christian Constanda
Publisher : Chapman and Hall/CRC
Page : 0 pages
File Size : 55,8 Mb
Release : 2010-06-14
Category : Mathematics
ISBN : 1439811393

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Solution Techniques for Elementary Partial Differential Equations, Second Edition by Christian Constanda Pdf

Incorporating a number of enhancements, Solution Techniques for Elementary Partial Differential Equations, Second Edition presents some of the most important and widely used methods for solving partial differential equations (PDEs). The techniques covered include separation of variables, method of characteristics, eigenfunction expansion, Fourier and Laplace transformations, Green’s functions, perturbation methods, and asymptotic analysis. New to the Second Edition New sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, and spherical harmonics A new chapter on complex variable methods and systems of PDEs Additional mathematical models based on PDEs Examples that show how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace Supplementary applications of Fourier transformations The application of the method of characteristics to more general hyperbolic equations Expanded tables of Fourier and Laplace transforms in the appendix Many more examples and nearly four times as many exercises This edition continues to provide a streamlined, direct approach to developing students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. Available for qualifying instructors, the accompanying solutions manual includes full solutions to the exercises. Instructors can obtain a set of template questions for test/exam papers as well as computer-linked projector files directly from the author.

Author : Christian Constanda
Publisher : CRC Press
Page : 410 pages
File Size : 40,7 Mb
Release : 2022-08-10
Category : Mathematics
ISBN : 9781000629538

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Solution Techniques for Elementary Partial Differential Equations by Christian Constanda Pdf

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth Edition Praise for the previous editions An ideal tool for students taking a first course in PDEs, as well as for the lecturers who teach such courses." —Marian Aron, Plymouth University, UK "This is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended." —CHOICE Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students’ competence in solving PDEs, and offers concise, easily understood explanations and worked examples that enable students to see the techniques in action. New to the Fourth Edition Two additional sections A larger number and variety of worked examples and exercises A companion pdf file containing more detailed worked examples to supplement those in the book, which can be used in the classroom and as an aid to online teaching

Author : Zhilin Li,Larry Norris
Publisher : World Scientific
Page : 218 pages
File Size : 51,7 Mb
Release : 2021-09-23
Category : Mathematics
ISBN : 9789811228643

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Introduction To Partial Differential Equations (With Maple), An: A Concise Course by Zhilin Li,Larry Norris Pdf

The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.

Author : Sergey V. Meleshko
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 52,6 Mb
Release : 2006-06-18
Category : Technology & Engineering
ISBN : 9780387252650

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Methods for Constructing Exact Solutions of Partial Differential Equations by Sergey V. Meleshko Pdf

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

Author : László Székelyhidi
Publisher : World Scientific Publishing Company
Page : 256 pages
File Size : 52,8 Mb
Release : 2016-05-24
Category : Mathematics
ISBN : 9789814725019

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Ordinary and Partial Differential Equations for the Beginner by László Székelyhidi Pdf

This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations. In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.

Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 49,5 Mb
Release : 2007-12-21
Category : Mathematics
ISBN : 9780470054567

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Partial Differential Equations by Walter A. Strauss Pdf

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Author : Larry C. Andrews
Publisher : Academic Press
Page : 546 pages
File Size : 45,7 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015015703336

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Elementary Partial Differential Equations with Boundary Value Problems by Larry C. Andrews Pdf

Author : Prem K. Kythe,Michael R. Schäferkotter,Pratap Puri
Publisher : CRC Press
Page : 448 pages
File Size : 52,6 Mb
Release : 2002-11-12
Category : Mathematics
ISBN : 1584883146

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Partial Differential Equations and Mathematica by Prem K. Kythe,Michael R. Schäferkotter,Pratap Puri Pdf

Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand. Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality. New in this edition: Upgraded and expanded Mathematica sections that include more exercises An entire chapter on boundary value problems More on inverse operators, Legendre functions, and Bessel functions Simplified treatment of Green's functions that make it more accessible to undergraduates A section on the numerical computation of Green's functions Mathemcatica codes for solving most of the problems discussed Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows Wave propagation and dispersion With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.

Author : Richard Haberman
Publisher : Prentice Hall
Page : 568 pages
File Size : 45,7 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015047725059

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Elementary Applied Partial Differential Equations by Richard Haberman Pdf

This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus.

Author : J. Robert Buchanan,Zhoude Shao
Publisher : World Scientific Publishing Company
Page : 606 pages
File Size : 53,7 Mb
Release : 2017-09
Category : Mathematics
ISBN : 9813226439

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A First Course in Partial Differential Equations by J. Robert Buchanan,Zhoude Shao Pdf

This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects. The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.

Author : Jirair Kevorkian
Publisher : Springer
Page : 637 pages
File Size : 47,8 Mb
Release : 2010-12-06
Category : Mathematics
ISBN : 1441931392

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Partial Differential Equations by Jirair Kevorkian Pdf

A broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. In each chapter the author raises various questions concerning the particular equations discussed, treats different methods for tackling these equations, gives applications and examples, and concludes with a list of proposed problems and a relevant bibliography. This new edition has been substantially updated to take account of the new techniques available, making it valuable for students and researchers in mathematics, physics and engineering.

Author : H. F. Weinberger
Publisher : Courier Corporation
Page : 482 pages
File Size : 43,7 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486132044

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A First Course in Partial Differential Equations by H. F. Weinberger Pdf

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Author : William F. Trench
Publisher : Thomson Brooks/Cole
Page : 766 pages
File Size : 49,7 Mb
Release : 2001
Category : Mathematics
ISBN : UCSC:32106015134783

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Elementary Differential Equations with Boundary Value Problems by William F. Trench Pdf

Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.