Lectures on the Calculus of Variations (Paperback)
Language: English
Published by Dover Publications Inc., New York, 2018
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 24.49
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Paperback. This pioneering modern treatise on the calculus of variations studies the evolution of the subject from Euler to Hilbert. The text addresses basic problems with sufficient generality and rigor to offer a sound introduction for serious study. It provides clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demonstrations of their solutions. Many examples are solved completely, and systematic references are given for each theorem upon its first appearance. Initial chapters address the first and second variation of the integral, and succeeding chapters cover the sufficient conditions for an extremum of the integral and Weierstrass's theory of the problem in parameter-representation; Kneser's extension of Weierstrass's theory to cover the case of variable end-points; and Weierstrass's theory of the isoperimetric problems. The final chapter presents a thorough proof of Hilbert's existence theorem. AUTHOR: Oskar Bolza (18571942) studied mathematics at the University of Berlin and later at Strasbourg. He taught at Johns Hopkins, Clark University, and the University of Chicago, returning to Germany 22 years later but retaining the University of Chicago title of Non-resident Professor of Mathematics for the rest of his life. He taught mathematics at the University of Freiburg until his 1933 retirement. Pioneering modern treatise studies the development of the subject from Euler to Hilbert, addressing basic problems with sufficient generality and rigor to provide a sound introduction for serious study. 1904 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780486822365
- Title
- Lectures on the Calculus of Variations (Paperback)
- Author
- Oskar Bolza
- Publisher
- Dover Publications Inc., New York
- Publication year
- 2018
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486822362
- ISBN 13
- 9780486822365
Initial chapters address the first and second variation of the integral, and succeeding chapters cover the sufficient conditions for an extremum of the integral and Weierstrass's theory of the problem in parameter-representation; Kneser's extension of Weierstrass's theory to cover the case of variable end-points; and Weierstrass's theory of the isoperimetric problems. The final chapter presents a thorough proof of Hilbert's existence theorem.
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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| Item | 7 to 14 business days | 7 to 60 business days |
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