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."
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Text: English, German (translation)
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7 of 7 people found the following review helpful:
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supreme,
This review is from: Calculus of Variations and Partial Differential Equations of First Order (Hardcover)
I have followed the Analytical Mechanics class in my gradute school from this book.It is supreme and Goldsteins book only is a cheap make up in compared to this book. Thank you for folowing this book Dr.Yurdahan Guler, at that time I used to think that you were making our life miserable,but now I think it was the right thing to do to follow a book written by a true genius.
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First Sentence:
1. Continuous Convergence. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
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1. Continuous Convergence. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Adolph Mayer New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 20
books:
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- Calculus of Variations (Carus Monograph) by Gilbert Ames Bliss on 5 pages
- Course in Mathematical Analysis: Derivatives and Differentials v. 1 by E. Goursat in Back Matter
- Dynamic Programming (Dover Books on Computer Science) by Richard Bellman in Back Matter
- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Back Matter
- Calculus of Variations (Dover Books on Mathematics) by Robert Weinstock in Back Matter
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