Calculus of Variations and Partial Differential Equations of First Order

Constantin Caratheodory, C. Carath?odory

ISBN 10: 0821819992 / ISBN 13: 9780821819999

Published by American Mathematical Society, 1999

About this Item

There is a deep and fundamental relationship between the differential equations that occur in the calculus of variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This book discusses this basic fact. Series: AMS Chelsea Publishing. Num Pages: 402 pages. BIC Classification: PBKJ; PBKQ. Category: (P) Professional & Vocational. Dimension: 241 x 165 x 25. Weight in Grams: 690. . 1999. 3rd Edition. Hardcover. . . . . Seller Inventory # V9780821819999

Bibliographic Details

Title: Calculus of Variations and Partial ...

Publisher: American Mathematical Society

Publication Date: 1999

Binding: Hardcover

Condition: New

Edition: 3rd Edition

About this title

Synopsis:

In this second English edition of Carathéodory's famous work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the calculus of variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This basic fact forms the rationale for Carathéodory's masterpiece. Includes a Guide to the Literature and an Index. From the Preface: "The book consists of two parts. In the first part, I have made an attempt to simplify the presentation of the theory of partial differential equations to the first order so that its study will require little time and also be accessible to the average student of mathematics ... The second part, which contains the Calculus of Variations, can also be read independently if one refers back to earlier sections in Part I ... I have never lost sight of the fact that the Calculus of Variations, as it is presented in Part II, should above all be a servant of Mechanics. Therefore, I have in particular prepared everything from the very outset for treatment in multidimensional spaces."

Language Notes:

Text: English, German (translation)