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 #  AuthorTitleAccn#YearItem 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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TitleGravitation as a Plastic Distortion of the Lorentz Vacuum
Author(s)Fern??ndez, Virginia Velma;Rodrigues, Waldyr A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionX, 154 p. 3 illus : online resource
Abstract NoteAddressing 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,Price9783642135897
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
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42.     
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TitleNonlinear Waves and Solitons on Contours and Closed Surfaces
Author(s)Ludu, Andrei
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2007.
DescriptionXX, 466 p. 140 illus : online resource
Abstract NoteThe present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered. Emphasis on the relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference
ISBN,Price9783540728733
Keyword(s)1. CLASSICAL MECHANICS 2. COMPLEX SYSTEMS 3. DIFFERENTIAL GEOMETRY 4. DYNAMICAL SYSTEMS 5. Dynamical Systems and Ergodic Theory 6. DYNAMICS 7. EBOOK 8. EBOOK - SPRINGER 9. ERGODIC THEORY 10. Fluid- and Aerodynamics 11. FLUIDS 12. Mathematical Methods in Physics 13. MECHANICS 14. PHYSICS 15. STATISTICAL PHYSICS
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43.     
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TitleDifferential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems
Author(s)Rudolph, Gerd;Schmidt, Matthias
PublicationDordrecht, Springer Netherlands, 2013.
DescriptionXIV, 762 p : online resource
Abstract NoteStarting 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,Price9789400753457
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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44.     
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TitleAnalytical and Numerical Approaches to Mathematical Relativity
Author(s)Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXVII, 281 p : online resource
Abstract NoteToday, 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,Price9783540334842
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
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45.     
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TitleIntroduction to Relativistic Continuum Mechanics
Author(s)Ferrarese, Giorgio;Bini, Donato
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionXII, 340 p : online resource
Abstract NoteThis 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,Price9783540731689
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
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46.     
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TitleAn Introduction to the Relativistic Theory of Gravitation
Author(s)Hajicek, Petr
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionXIII, 280 p : online resource
Abstract NoteThe 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,Price9783540786597
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
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47.     
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TitleDarboux Transformations in Integrable Systems : Theory and their Applications to Geometry
Author(s)Gu, Chaohao;Hu, Anning;Zhou, Zixiang
PublicationDordrecht, Springer Netherlands, 2005.
DescriptionX, 308 p : online resource
Abstract NoteThe 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,Price9781402030888
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
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48.     
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TitleMathematical Implications of Einstein-Weyl Causality
Author(s)Borchers, Hans J??rgen;Sen, Rathindra Nath
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXII, 190 p. 37 illus : online resource
Abstract NoteThe 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,Price9783540376811
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
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49.     
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TitleSpacetime : Foundations of General Relativity and Differential Geometry
Author(s)Kriele, Marcus
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXIX, 436 p : online resource
Abstract NoteThis textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology
ISBN,Price9783540483540
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. Classical and Quantum Gravitation, Relativity Theory 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. GRAVITATION 10. Mathematical Methods in Physics 11. PHYSICS
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50.    
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TitleThe Geometry of Higher-Order Lagrange Spaces : Applications to Mechanics and Physics
Author(s)Miron, R
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXV, 336 p : online resource
ISBN,Price9789401733380
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
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