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 #  AuthorTitleAccn#YearItem Type Claims
11 De Bianchi, Silvia One Hundred Years of Gauge Theory I09028 2020 eBook  
12 Boskoff, Wladimir-Georges A Mathematical Journey to Relativity I08812 2020 eBook  
13 Marmo, G Classical and Quantum Physics I08690 2019 eBook  
14 Schmidt, Bernd G Einstein???s Field Equations and Their Physical Implications I11510 2000 eBook  
15 Liseikin, Vladimir D A Computational Differential Geometry Approach to Grid Generation I11320 2004 eBook  
16 Straumann, Norbert General Relativity I11284 2004 eBook  
17 Giulini, Domenico J. W Quantum Gravity I11261 2003 eBook  
18 Miron, R The Geometry of Higher-Order Hamilton Spaces I11044 2003 eBook  
19 Miron, R The Geometry of Hamilton and Lagrange Spaces I10924 2002 eBook  
20 Esposito, Giampiero Complex General Relativity I10890 2002 eBook  
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11.    
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TitleOne Hundred Years of Gauge Theory : Past, Present and Future Perspectives
Author(s)De Bianchi, Silvia;Kiefer, Claus
PublicationCham, Springer International Publishing, 2020.
DescriptionXII, 313 p. 28 illus., 12 illus. in color : online resource
Abstract NoteThis book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world???s leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of science assess the impact of Weyl???s view on the philosophy of science. Graduate students, lecturers and researchers in the fields of history of science, theoretical physics and philosophy of science will benefit from this book by learning about the role played by Weyl???s Raum-Zeit-Materie in shaping several modern research fields, and by gaining insights into the future prospects of gauge theory in both theoretical and experimental physics. Furthermore, the book facilitates interdisciplinary exchange and conceptual innovation in tackling fundamental questions about our deepest theories of physics. Chapter ???Weyl???s Raum-Zeit-Materie and the Philosophy of Science??? is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
ISBN,Price9783030511975
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GRAVITATION 8. History and Philosophical Foundations of Physics 9. Philosophy and science 10. PHILOSOPHY OF SCIENCE 11. PHYSICS 12. QUANTUM FIELD THEORY
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12.     
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TitleA Mathematical Journey to Relativity : Deriving Special and General Relativity with Basic Mathematics
Author(s)Boskoff, Wladimir-Georges;Capozziello, Salvatore
PublicationCham, Springer International Publishing, 2020.
DescriptionXXII, 397 p. 44 illus., 6 illus. in color : online resource
Abstract NoteThis book opens with an axiomatic description of Euclidean and non-Euclidean geometries. Euclidean geometry is the starting point to understand all other geometries and it is the cornerstone for our basic intuition of vector spaces. The generalization to non-Euclidean geometry is the following step to develop the language of Special and General Relativity. These theories are discussed starting from a full geometric point of view. Differential geometry is presented in the simplest way and it is applied to describe the physical world. The final result of this construction is deriving the Einstein field equations for gravitation and spacetime dynamics. Possible solutions, and their physical implications are also discussed: the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, the cosmological solutions like de Sitter, Friedmann-Lema??tre-Robertson-Walker, and G??del ones. Some current problems like dark energy are also scketched. The book is self-contained and includes details of all proofs. It provides solutions or tips to solve problems and exercises. It is designed for undergraduate students and for all readers who want a first geometric approach to Special and General Relativity
ISBN,Price9783030478940
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM PHYSICS 10. Theoretical, Mathematical and Computational Physics
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13.     
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TitleClassical and Quantum Physics : 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control
Author(s)Marmo, G;Mart??n de Diego, David;Mu??oz Lecanda, Miguel
PublicationCham, Springer International Publishing, 2019.
DescriptionXXVI, 374 p. 46 illus., 14 illus. in color : online resource
Abstract NoteThis proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas. Most of Albertos???s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics. Let us mention some of the fields of expertise of Alberto Ibort: Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others. In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic. His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed
ISBN,Price9783030247485
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. COMPLEX MANIFOLDS 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. Manifolds (Mathematics) 10. Manifolds and Cell Complexes (incl. Diff.Topology) 11. MATHEMATICAL PHYSICS 12. Rings (Algebra) 13. Theoretical, Mathematical and Computational Physics
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14.     
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TitleEinstein???s Field Equations and Their Physical Implications : Selected Essays in Honour of J??rgen Ehlers
Author(s)Schmidt, Bernd G
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2000.
DescriptionXIII, 433 p : online resource
Abstract NoteThis book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
ISBN,Price9783540465805
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. Mathematical Methods in Physics 7. PHYSICS
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15.     
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TitleA Computational Differential Geometry Approach to Grid Generation
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXIV, 264 p : online resource
Abstract NoteGrid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated techniques, modification of the available methods, and implementation of more subtle tools as well as the results of the theories of differential equations, calculas of variations, and Riemannian geometry being applied to the formulation of grid models and analysis of grid properties. The development of comprehensive differential and variational grid gen?? eration techniques reviewed in the monographs of J. F. Thompson, Z. U. A. Warsi, C. W. Mastin, P. Knupp, S. Steinberg, V. D. Liseikin has been largely based on a popular concept in accordance with which a grid model realizing the required grid properties should be formulated through a linear combina?? tion of basic and control grid operators with weights. A typical basic grid operator is the operator responsible for the well-posedness of the grid model and construction of unfolding grids, e. g. the Laplace equations (generalized Laplace equations for surfaces) or the functional of grid smoothness which produces fixed nonfolding grids while grid clustering is controlled by source terms in differential grid formulations or by an adaptation functional in vari?? ational models. However, such a formulation does not obey the fundamental invariance laws with respect to parameterizations of physical geometries. It frequently results in cumbersome governing grid equations whose choice of weight and control functions provide conflicting grid requirements
ISBN,Price9783662054154
Keyword(s)1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Continuum physics 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICS
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I11320     On Shelf    

16.     
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TitleGeneral Relativity : With Applications to Astrophysics
Author(s)Straumann, Norbert
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXII, 676 p : online resource
Abstract NoteThis text provides a comprehensive and timely introduction to general relativity. The foundations of the theory in Part I are thoroughly developed together with the required mathematical background from differential geometry in Part III. The six chapters in Part II are devoted to tests of general relativity and to many of its applications. Binary pulsars are studied in considerable detail. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and derivations of the basic laws of black hole physics. The final chapter of this part contains Witten's proof of the positive energy theorem. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It is very well structured and should become a standard text for a modern treatment of gravitational physics. The clear presentation of differential geometry makes it also useful for string theory and other fields of physics, classical as well as quantum
ISBN,Price9783662118276
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. Classical and Quantum Gravitation, Relativity Theory 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. GEOPHYSICS 9. Geophysics/Geodesy 10. GRAVITATION 11. MATHEMATICAL PHYSICS 12. Theoretical, Mathematical and Computational Physics
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17.     
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TitleQuantum Gravity : From Theory to Experimental Search
Author(s)Giulini, Domenico J. W;Kiefer, Claus;L??mmerzahl, Claus
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2003.
DescriptionXII, 402 p : online resource
Abstract NoteThe relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects
ISBN,Price9783540452300
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GRAVITATION 8. Quantum Field Theories, String Theory 9. QUANTUM FIELD THEORY 10. STRING THEORY
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18.     
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TitleThe Geometry of Higher-Order Hamilton Spaces : Applications to Hamiltonian Mechanics
Author(s)Miron, R
PublicationDordrecht, Springer Netherlands, 2003.
DescriptionXVI, 247 p : online resource
ISBN,Price9789401000703
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. DIFFERENTIAL GEOMETRY 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS
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19.     
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TitleThe Geometry of Hamilton and Lagrange Spaces
Author(s)Miron, R;Hrimiuc, Dragos;Shimada, Hideo;Sabau, Sorin V
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXVI, 338 p : online resource
Abstract NoteThe 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,Price9780306471353
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. DIFFERENTIAL GEOMETRY 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS
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20.    
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TitleComplex General Relativity
Author(s)Esposito, Giampiero
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXII, 206 p : online resource
Abstract NoteThis book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 ??? ??? space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language
ISBN,Price9780306471186
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. Classical and Quantum Gravitation, Relativity Theory 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. GRAVITATION 10. MATHEMATICAL PHYSICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. Theoretical, Mathematical and Computational Physics
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