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|a 516
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| 245 |
0 |
4 |
|a The geometry of Hamilton and Lagrange spaces /
|c by Radu Miron [and others].
|
| 264 |
|
1 |
|a Dordrecht ;
|a Boston :
|b Kluwer Academic Publishers,
|c [2001]
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| 264 |
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4 |
|c ©2001
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| 300 |
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|a 1 online resource (xv, 338 pages) :
|b illustrations.
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| 490 |
1 |
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|a Fundamental theories of physics ;
|v v. 118
|
| 504 |
|
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|a Includes bibliographical references (pages 323-335) and index.
|
| 520 |
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|a This monograph presents for the first time the foundations of Hamilton Geometry. The concept of Hamilton Space, introduced by the first author and investigated by the authors, opens a new domain in differential geometry with large applications in mechanics, physics, optimal control, etc. The book consists of thirteen chapters. The first three chapters present the topics of the tangent bundle geometry, Finsler and Lagrange spaces. Chapters 4-7 are devoted to the construction of geometry of Hamilton spaces and the duality between these spaces and Lagrange spaces. The dual of a Finsler space is a Cartan space. Even this notion is completely new, its geometry has the same symmetry and beauty as that of Finsler spaces. Chapter 8 deals with symplectic transformations of cotangent bundle. The last five chapters present, for the first time, the geometrical theory and applications of Higher-Order Hamilton spaces. In particular, the case of order two is presented in detail. Audience: mathematicians, geometers, physicists, and mechanicians. This volume can also be recommended as a supplementary graduate text.
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| 588 |
0 |
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|a Print version record.
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| 500 |
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|a Electronic resource.
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| 650 |
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|a Lagrange spaces.
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|a Hamilton spaces.
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|a Mathematics.
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|a MATHEMATICS
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|a Hamilton spaces.
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1 |
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|a Miron, Radu.
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| 710 |
2 |
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|a SpringerLink (Online service)
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1 |
8 |
|i Print version:
|t Geometry of Hamilton and Lagrange spaces.
|d Dordrecht ; Boston : Kluwer Academic Publishers, ©2001
|z 0792369262
|w (DLC) 2001022469
|w (OCoLC)46449223
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| 830 |
|
0 |
|a Fundamental theories of physics ;
|v v. 118.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://link.springer.com/10.1007/0-306-47135-3
|z Connect to the full text of this electronic book
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|a Texas A&M University
|b College Station
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|e QA689 .G48 2001eb
|h Library of Congress classification
|
| 998 |
f |
f |
|a QA689 .G48 2001eb
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|l Available Online
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