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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Miron, R |
The Geometry of Higher-Order Hamilton Spaces |
I11044 |
2003 |
eBook |
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| 2 |
Miron, R |
The Geometry of Hamilton and Lagrange Spaces |
I10924 |
2002 |
eBook |
|
| 3 |
Miron, R |
The Geometry of Higher-Order Lagrange Spaces |
I05321 |
1997 |
eBook |
|
| 4 |
Miron, R |
The Geometry of Lagrange Spaces: Theory and Applications |
I04893 |
1994 |
eBook |
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| 5 |
Antonelli, P.L |
Lagrange and Finsler Geometry |
I02623 |
1996 |
eBook |
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2.
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| Title | The Geometry of Hamilton and Lagrange Spaces |
| Author(s) | Miron, R;Hrimiuc, Dragos;Shimada, Hideo;Sabau, Sorin V |
| Publication | Dordrecht, Springer Netherlands, 2002. |
| Description | XVI, 338 p : online resource |
| Abstract Note | The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A. Many international conferences were devoted to debate this subject, proceedings and monographs were published [10], [18], [112], [113],... A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. The concept of Hamilton space, introduced in [105], [101] was intensively studied in [63], [66], [97],... and it has been successful, as a geometric theory of the Ham- tonian function the fundamental entity in Mechanics and Physics. The classical Legendre???s duality makes possible a natural connection between Lagrange and - miltonspaces. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Following this duality Cartan spaces introduced and studied in [98], [99],..., are, roughly speaking, the Legendre duals of certain Finsler spaces [98], [66], [67]. The above arguments make this monograph a continuation of [106], [113], emphasizing the Hamilton geometry |
| ISBN,Price | 9780306471353 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10924 |
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On Shelf |
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3.
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| Title | The Geometry of Higher-Order Lagrange Spaces : Applications to Mechanics and Physics |
| Author(s) | Miron, R |
| Publication | Dordrecht, Springer Netherlands, 1997. |
| Description | XV, 336 p : online resource |
| ISBN,Price | 9789401733380 |
| Keyword(s) | 1. CALCULUS OF VARIATIONS
2. Calculus of Variations and Optimal Control; Optimization
3. CLASSICAL MECHANICS
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK - SPRINGER
7. LASERS
8. MATHEMATICAL PHYSICS
9. MECHANICS
10. Optics, Lasers, Photonics, Optical Devices
11. PHOTONICS
12. PHYSICS
13. Physics, general
14. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05321 |
|
|
On Shelf |
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4.
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| Title | The Geometry of Lagrange Spaces: Theory and Applications |
| Author(s) | Miron, R;Anastasiei, Mihai |
| Publication | Dordrecht, Springer Netherlands, 1994. |
| Description | XIV, 289 p : online resource |
| Abstract Note | Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. Very often, the starting point for such studies is a variational problem formulated for a convenient Lagrangian. From a formal point of view, a Lagrangian is a smooth real function defined on the total space of the tangent bundle to a manifold satisfying some regularity conditions. The main purpose of this book is to present: (a) an extensive discussion of the geometry of the total space of a vector bundle; (b) a detailed exposition of Lagrange geometry; and (c) a description of the most important applications. New methods are described for construction geometrical models for applications. The various chapters consider topics such as fibre and vector bundles, the Einstein equations, generalized Einstein--Yang--Mills equations, the geometry of the total space of a tangent bundle, Finsler and Lagrange spaces, relativistic geometrical optics, and the geometry of time-dependent Lagrangians. Prerequisites for using the book are a good foundation in general manifold theory and a general background in geometrical models in physics. For mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods |
| ISBN,Price | 9789401107884 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. MATHEMATICAL PHYSICS
8. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04893 |
|
|
On Shelf |
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