Solution Techniques for Elementary Partial Differential Equations

Description

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 Mathematica® 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 students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action. 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: Sturm–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 Green’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