Calculus of Variations and Partial Differential Equations of First Order
Caratheodory, C.
ISBN 10: 1470478978 ISBN 13: 9781470478971
Published by American Mathematical Society, 2024
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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. In this second English edition of Carathéodory's famous work, 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.
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Bibliographic Details
Title: Calculus of Variations and Partial ...
Publisher: American Mathematical Society
Publication Date: 2024
Binding: Soft cover
Condition: As New
Edition: 2nd Edition