Solution Techniques for Elementary Partial Differential Equations

Christian Constanda

• Editorial: Chapman and Hall/CRC
• Año: 2018
• ISBN:
  9781498704984
• Edición: 3
• Categoría: Matemáticas
• Categoría: Matemáticas general

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.

Índice

• Cover
• Half Title
• Title Page
• Copyright Page
• 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
• 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
• 12 The Method of Characteristics
• Chapter 13 ▪ Perturbation and Asymptotic Methods
• Chapter 14 ▪ Complex Variable Methods
• Appendix
• Further Reading
• Index