Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 First-order equations
- 3 Second-order linear equations in two indenpendent variables
- 4 The one-dimensional wave equation
- 5 The method of separation of variables
- 6 Sturm–Liouville problems and eigenfunction expansions
- 7 Elliptic equations
- 8 Green's functions and integral representations
- 9 Equations in high dimensions
- 10 Variational methods
- 11 Numerical methods
- 12 Solutions of odd-numbered problems
- References
- Index
1 - Introduction
Published online by Cambridge University Press: 05 September 2012
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 First-order equations
- 3 Second-order linear equations in two indenpendent variables
- 4 The one-dimensional wave equation
- 5 The method of separation of variables
- 6 Sturm–Liouville problems and eigenfunction expansions
- 7 Elliptic equations
- 8 Green's functions and integral representations
- 9 Equations in high dimensions
- 10 Variational methods
- 11 Numerical methods
- 12 Solutions of odd-numbered problems
- References
- Index
Summary
- Type
- Chapter
- Information
- An Introduction to Partial Differential Equations , pp. 1 - 22Publisher: Cambridge University PressPrint publication year: 2005