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Author | Title | Accn# | Year | Item Type | Claims |
41 |
Fern??ndez, Virginia Velma |
Gravitation as a Plastic Distortion of the Lorentz Vacuum |
I06482 |
2010 |
eBook |
|
42 |
Ludu, Andrei |
Nonlinear Waves and Solitons on Contours and Closed Surfaces |
I06481 |
2007 |
eBook |
|
43 |
Rudolph, Gerd |
Differential Geometry and Mathematical Physics |
I06330 |
2013 |
eBook |
|
44 |
Frauendiener, J??rg |
Analytical and Numerical Approaches to Mathematical Relativity |
I06140 |
2006 |
eBook |
|
45 |
Ferrarese, Giorgio |
Introduction to Relativistic Continuum Mechanics |
I06050 |
2008 |
eBook |
|
46 |
Hajicek, Petr |
An Introduction to the Relativistic Theory of Gravitation |
I05568 |
2008 |
eBook |
|
47 |
Gu, Chaohao |
Darboux Transformations in Integrable Systems |
I05525 |
2005 |
eBook |
|
48 |
Borchers, Hans J??rgen |
Mathematical Implications of Einstein-Weyl Causality |
I05419 |
2006 |
eBook |
|
49 |
Kriele, Marcus |
Spacetime |
I05375 |
1999 |
eBook |
|
50 |
Miron, R |
The Geometry of Higher-Order Lagrange Spaces |
I05321 |
1997 |
eBook |
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41.
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Title | Gravitation as a Plastic Distortion of the Lorentz Vacuum |
Author(s) | Fern??ndez, Virginia Velma;Rodrigues, Waldyr A |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. |
Description | X, 154 p. 3 illus : online resource |
Abstract Note | Addressing graduate students and researchers in theoretical physics and mathematics, this book presents a new formulation of the theory of gravity. In the new approach the gravitational field has the same ontology as the electromagnetic, strong, and weak fields. In other words it is a physical field living in Minkowski spacetime. Some necessary new mathematical concepts are introduced and carefully explained. Then they are used to describe the deformation of geometries, the key to describing the gravitational field as a plastic deformation of the Lorentz vacuum. It emerges after further analysis that the theory provides trustworthy energy-momentum and angular momentum conservation laws, a feature that is normally lacking in General Relativity |
ISBN,Price | 9783642135897 |
Keyword(s) | 1. ALGEBRA
2. Classical and Quantum Gravitation, Relativity Theory
3. COSMOLOGY
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK - SPRINGER
7. GRAVITATION
8. MATHEMATICAL PHYSICS
9. Theoretical, Mathematical and Computational Physics
|
Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I06482 |
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On Shelf |
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43.
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Title | Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems |
Author(s) | Rudolph, Gerd;Schmidt, Matthias |
Publication | Dordrecht, Springer Netherlands, 2013. |
Description | XIV, 762 p : online resource |
Abstract Note | Starting from an undergraduate level, this book systematically develops the basics of ??? Calculus on manifolds, vector bundles, vector fields and differential forms, ??? Lie groups and Lie group actions, ??? Linear symplectic algebra and symplectic geometry, ??? Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact |
ISBN,Price | 9789400753457 |
Keyword(s) | 1. CLASSICAL MECHANICS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. LIE GROUPS
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. MECHANICS
11. PHYSICS
12. TOPOLOGICAL GROUPS
13. Topological Groups, Lie Groups
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Item Type | eBook |
Multi-Media Links
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Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I06330 |
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On Shelf |
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44.
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Title | Analytical and Numerical Approaches to Mathematical Relativity |
Author(s) | Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. |
Description | XVII, 281 p : online resource |
Abstract Note | Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike |
ISBN,Price | 9783540334842 |
Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. Numerical and Computational Physics, Simulation
11. PHYSICS
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I06140 |
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On Shelf |
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45.
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Title | Introduction to Relativistic Continuum Mechanics |
Author(s) | Ferrarese, Giorgio;Bini, Donato |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. |
Description | XII, 340 p : online resource |
Abstract Note | This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity. Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. Emphasis in the presentation is on the 3+1 splitting technique, widely used in general relativity for introducing the relative observers point of view |
ISBN,Price | 9783540731689 |
Keyword(s) | 1. Classical and Continuum Physics
2. Classical and Quantum Gravitation, Relativity Theory
3. CLASSICAL MECHANICS
4. Continuum physics
5. DIFFERENTIAL GEOMETRY
6. EBOOK
7. EBOOK - SPRINGER
8. GRAVITATION
9. Mathematical Methods in Physics
10. MECHANICS
11. Mechanics, Applied
12. PHYSICS
13. Solid Mechanics
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I06050 |
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On Shelf |
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46.
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Title | An Introduction to the Relativistic Theory of Gravitation |
Author(s) | Hajicek, Petr |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. |
Description | XIII, 280 p : online resource |
Abstract Note | The geometric interpretation of gravitation is one of the major foundations of modern theoretical physics. This primer introduces classical general relativity with emphasis on the clarity of conceptual structure and on the basic mathematical methods to build up systematically application skills. The wealth of physical phenomena entailed by the Einstein???s equations is revealed with the help of specific models describing gravitomagnetism, gravitational waves, cosmology, gravitational collapse and black holes. End-of-chapter exercises complete the main text. This book is based on class-tested notes for courses that have been held by the author over many years at the University of Bern, where Einstein worked at the local patent office and where the foundations of special relativity were laid |
ISBN,Price | 9783540786597 |
Keyword(s) | 1. ASTROPHYSICS
2. Astrophysics and Astroparticles
3. Classical and Quantum Gravitation, Relativity Theory
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK - SPRINGER
7. GRAVITATION
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I05568 |
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On Shelf |
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47.
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Title | Darboux Transformations in Integrable Systems : Theory and their Applications to Geometry |
Author(s) | Gu, Chaohao;Hu, Anning;Zhou, Zixiang |
Publication | Dordrecht, Springer Netherlands, 2005. |
Description | X, 308 p : online resource |
Abstract Note | The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics |
ISBN,Price | 9781402030888 |
Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. 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 |
I05525 |
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On Shelf |
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48.
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Title | Mathematical Implications of Einstein-Weyl Causality |
Author(s) | Borchers, Hans J??rgen;Sen, Rathindra Nath |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. |
Description | XII, 190 p. 37 illus : online resource |
Abstract Note | The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics |
ISBN,Price | 9783540376811 |
Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. MATHEMATICAL PHYSICS
10. 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 |
I05419 |
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On Shelf |
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50.
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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 |
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On Shelf |
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