This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: 1) representation formulas for solutions, 2) theory for linear partial differenti
Partial Differential Equations
✍ Scribed by E. T. Copson
- Book ID
- 127419793
- Publisher
- Cambridge University Press
- Year
- 1975
- Tongue
- English
- Weight
- 2 MB
- Category
- Library
- City
- Cambridge; New York
- ISBN-13
- 9780521098939
No coin nor oath required. For personal study only.
✦ Synopsis
In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its relevance in several important respects. Many branches of classical analysing have their origins in the rigourous discussion of problems in applies mathematics and theoretical physics, and the classical treatment of the theory of partial differential equations still provides the best method of treating many physical problems. A knowledge of the classical theory is essential for pure mathematics who intend to undertake research in this field, whatever approach they ultimately adopt. The numerical analyst needs a knowledge of classical theory in order to decide whether a problem has a unique solution or not.
✦ Subjects
Дифференциальные уравнения в частных производных
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