
- 808 pages
- English
- PDF
- Available on iOS & Android
Handbook of Differential Equations
About this book
Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
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Information
Table of contents
- Front Cover
- Handbook of Differential Equations
- Copyright Page
- Table of Contents
- Preface
- Introduction
- How to Use This Book
- CHAPTER I.A Definitions and Concepts
- CHAPTER I.B Transformations
- CHAPTER II. Exact Analytical Methods
- CHAPTER II.A Exact Methods for ODEs
- CHAPTER II.B Exact Methods for PDEs
- CHAPTER III. Approximate Analytical Methods
- CHAPTER IV.A Numerical Methods: Concepts
- CHAPTER IV.B Numerical Methods for ODEs
- CHAPTER IV.C Numerical Methods for PDEs
- Mathematical Nomenclature
- Differential Equation Index
- Index