Partial Differential Equations: An Introduction 2/e [Strauss] 9780470054567

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs).  The second edition of Partial Differential Equations provides an introduction to the basic properties of  PDEs and the ideas and techniques that have proven useful in analyzing them.  It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. 

In this book mathematical jargon is minimized.  Our focus is on the three most classical PDEs: the wave, heat and Laplace equations.  Advanced concepts are introduced frequently but with the least possible technicalities.  The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics. 

頁數：464
版次：第2版
年份：2008年
規格：精裝/單色
ISBN：9780470054567

Chapter 1 Where PDEs Come From
Chapter 2 Waves and Diffusions
Chapter 3 Reflections and Sources
Chapter 4 Boundary Problems
Chapter 5 Fourier Series
Chapter 6 Harmonic Functions
Chapter 7 Green’s Identities and Green’s Functions
Chapter 8 Computation of Solutions
Chapter 9 Waves in Space
Chapter 10 Boundaries in the Plane and in Space
Chapter 11 General Eigenvalue Problems
Chapter 12 Distributions and Transforms
Chapter 13 PDE Problems from Physics
Chapter 14 Nonlinear PDEs
Appendix
A.1 Continuous and Differentiable Functions
A.2 Infinite Series of Functions
A.3 Differentiation and Integration
A.4 Differential Equations
A.5 The Gamma Function
References