Partial Differential Equations

Front Cover
New Age International, 1985 - Differential equations, Partial - 252 pages
0 Reviews
This book provides a basic introductory course in partial differential equations, in which theory and applications are interrelated and developed side by side. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. The authors feel that it is no longer necessary to follow the tradition of introducing the subject by deriving various partial differential equations of continuum mechanics and theoretical physics. Therefore, the subject has been introduced by mathematical analysis of the simplest, yet one of the most useful (from the point of view of applications), class of partial differential equations, namely the equations of first order, for which existence, uniqueness and stability of the solution of the relevant problem (Cauchy problem) is easy to discuss. Throughout the book, attempt has been made to introduce the important ideas from relatively simple cases, some times by referring to physical processes, and then extending them to more general systems.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Single First Order Partial Differential Equations 152
1
First Order Nonlinear Equations in Two Independent
17
Complete Integral
30
5 First Order Equations in More Than Two Independent
36
6 Applications of the Theory of a Single First Order Equation
46
Linear Second Order Partial Differential Equations 53149
53
Potential Theory and Elliptic Differential Equations
67
The Diffusion Equation and Parabolic Differential
91
Hyperbolic Partial Differential Equations 150248
150
Hyperbolic System of Two First Order Quasilinear
176
4 General Theory of a Simple Wave
191
EQUATIONS IN MORE THAN Two INDEPENDENT VARIABLES
216
7 The Wave Equation
222
on a Manifold Which is not Spacelike
229
8 Hyperbolic System of First Order Equations
235
References
249

The Wave Equation
111

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information