Partial Differential Equations I : Foundations of the Classical Theory

Hrsg. v. Egorov, Y .V. /Shubin, M. A. Übers. v. Cooke, R.

ISBN 10: 3540520023 / ISBN 13: 9783540520023

Published by Springer Berlin, 1991

About this Item

Zustand: Sehr gut | Seiten: 259 | Sprache: Russisch | Produktart: Bücher.

Seller Inventory # 656929/202

Bibliographic Details

• Title: Partial Differential Equations I : Foundations of the Classical Theory
• Publisher: Springer Berlin
• Publication Date: 1991
• Language: English
• ISBN 10: 3540520023
• ISBN 13: 9783540520023
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

Partial differential equations are as old as calculus itself, occurring as examples in the papers of Newton and Leibniz. Since the beginning, they have been strongly linked to physics and other sciences. This volume presents an introduction to the classical theory, emphasizing along the way physical methods and physical interpretations. The book beings with a derivation of some of the classical partial differential equations, and a discussion of the limitations of the physical models upon which the derivations are based. The second chapter discusses the classical methods for studying PDEs, including the theory of distributions and the Petrovskij classification into elliptic, parabolic and hyperbolic equations. Among the more advanced methods discussed are spectral theory, the method of planar waves and the theory of semigroups. Every topic considered is placed in its present context in mathematical research, yet the book never loses sight of the non-specialist reader with an interest in physical applications.

Review

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for the nonspecialists and physicists but in my opinion almost every specialist will find something new for herself/himself in the text. ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte für Mathematik, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993