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Solution Techniques for Elementary Partial Differential Equations

โœ Scribed by Christian Constanda


Publisher
CRC Press
Year
2016
Tongue
English
Leaves
378
Edition
3
Category
Library

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โœฆ Synopsis


Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs. New to the Third Edition New sections on the series expansion of more general functions, other problems of general second-order linear equations, vibrating string with other types of boundary conditions, and equilibrium temperature in an infinite strip Reorganized sections that make it easier for students and professors to navigate the contents Rearranged exercises that are now at the end of each section/subsection instead of at the end of the chapter New and improved exercises and worked examples A brief Mathematicaยฎ program for nearly all of the worked examples, showing students how to verify results by computer This bestselling, highly praised textbook uses a streamlined, direct approach to develop studentsโ€™ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.

โœฆ Table of Contents


Front Cover
Dedication
Contents
Foreword
Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Chapter 1: Ordinary Differential Equations: Brief Review
Chapter 2: Fourier Series
Chapter 3: Sturmโ€“Liouville Problems
Chapter 4: Some Fundamental Equations of Mathematical Physics
Chapter 5: The Method of Separation of Variables
Chapter 6: Linear Nonhomogeneous Problems
Chapter 7: The Method of Eigenfunction Expansion
Chapter 8: The Fourier Transformations
Chapter 9: The Laplace Transformation
Chapter 10: The Method of Greenโ€™s Functions
Chapter 11: General Second-Order Linear Equations
Chapter 12: The Method of Characteristics
Chapter 13: Perturbation and Asymptotic Methods
Chapter 14: Complex Variable Methods
Appendix
Further Reading
Back Cover

โœฆ Subjects


Mathematics;Calculus; Differential equations


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