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31 Shchepetilov, Alexey V Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces I08004 2006 eBook  
32 Tsamparlis, Michael Special Relativity I07629 2010 eBook  
33 Cari??ena, Jos?? F Geometry from Dynamics, Classical and Quantum I07364 2015 eBook  
34 Ocampo, Hernan Geometric and Topological Methods for Quantum Field Theory I07121 2005 eBook  
35 DeWitt, Bryce Bryce DeWitt's Lectures on Gravitation I07112 2011 eBook  
36 Ludu, Andrei Nonlinear Waves and Solitons on Contours and Closed Surfaces I07047 2012 eBook  
37 Klein, Christian Ernst Equation and Riemann Surfaces I07032 2005 eBook  
38 Labastida, Jose Topological Quantum Field Theory and Four Manifolds I06905 2005 eBook  
39 Rodrigues, Waldyr A The Many Faces of Maxwell, Dirac and Einstein Equations I06614 2007 eBook  
40 Bick, Eike Topology and Geometry in Physics I06601 2005 eBook  
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31.    
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TitleCalculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Author(s)Shchepetilov, Alexey V
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXVIII, 242 p : online resource
Abstract NoteThe present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials
ISBN,Price9783540353867
Keyword(s)1. CLASSICAL MECHANICS 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MECHANICS 7. PHYSICS
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32.     
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TitleSpecial Relativity : An Introduction with 200 Problems and Solutions
Author(s)Tsamparlis, Michael
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXVII, 595 p : online resource
Abstract NoteThis textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 500 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity
ISBN,Price9783642038372
Keyword(s)1. Classical and Continuum Physics 2. Classical and Quantum Gravitation, Relativity Theory 3. Continuum physics 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. GRAVITATION
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33.     
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TitleGeometry from Dynamics, Classical and Quantum
Author(s)Cari??ena, Jos?? F;Ibort, Alberto;Marmo, Giuseppe;Morandi, Giuseppe
PublicationDordrecht, Springer Netherlands, 2015.
DescriptionXXV, 719 p. 22 illus : online resource
Abstract NoteThis book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'', and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and superintegrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics
ISBN,Price9789401792202
Keyword(s)1. CLASSICAL MECHANICS 2. COMPLEX SYSTEMS 3. DIFFERENTIAL GEOMETRY 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. Theoretical, Mathematical and Computational Physics
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34.     
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TitleGeometric and Topological Methods for Quantum Field Theory
Author(s)Ocampo, Hernan;Paycha, Sylvie;Vargas, Andr??s
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionXV, 230 p : online resource
Abstract NoteThis volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently
ISBN,Price9783540315223
Keyword(s)1. COMPLEX MANIFOLDS 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Manifolds (Mathematics) 8. Manifolds and Cell Complexes (incl. Diff.Topology) 9. Mathematical Methods in Physics 10. PHYSICS 11. Quantum Field Theories, String Theory 12. QUANTUM FIELD THEORY 13. STRING THEORY
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35.     
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TitleBryce DeWitt's Lectures on Gravitation : Edited by Steven M. Christensen
Author(s)DeWitt, Bryce;Christensen, Steven M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2011.
DescriptionXII, 288 p. 10 illus : online resource
Abstract NoteBryce DeWitt, a student of Nobel Laureate Julian Schwinger, was himself one of the towering figures in 20th century physics, particularly renowned for his seminal contributions to quantum field theory, numerical relativity and quantum gravity. In late 1971 DeWitt gave a course on gravitation at Stanford University, leaving almost 400 pages of detailed handwritten notes. Written with clarity and authority, and edited by his former student Steven Christensen, these timeless lecture notes, containing material or expositions not found in any other textbooks, are a gem to be discovered or re-discovered by anyone seriously interested in the study of gravitational physics
ISBN,Price9783540369110
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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36.     
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TitleNonlinear Waves and Solitons on Contours and Closed Surfaces
Author(s)Ludu, Andrei
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionXVIII, 490 p : online resource
Abstract NoteThis 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, providing 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. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated
ISBN,Price9783642228957
Keyword(s)1. Amorphous substances 2. Applications of Nonlinear Dynamics and Chaos Theory 3. Complex fluids 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. Fluid- and Aerodynamics 8. FLUIDS 9. Interfaces (Physical sciences) 10. Mathematical Methods in Physics 11. PHYSICS 12. Soft and Granular Matter, Complex Fluids and Microfluidics 13. STATISTICAL PHYSICS 14. Surface and Interface Science, Thin Films 15. Surfaces (Physics) 16. THIN FILMS
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37.     
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TitleErnst Equation and Riemann Surfaces : Analytical and Numerical Methods
Author(s)Klein, Christian;Richter, Olaf
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionX, 249 p : online resource
Abstract NoteExact solutions to Einstein`s equations have been useful for the understanding of general relativity in many respects. They have led to physical concepts as black holes and event horizons and helped to visualize interesting features of the theory. In addition they have been used to test the quality of various approximation methods and numerical codes. The most powerful solution generation methods are due to the theory of Integrable Systems. In the case of axisymmetric stationary spacetimes the Einstein equations are equivalent to the completely integrable Ernst equation. In this volume the solutions to the Ernst equation associated to Riemann surfaces are studied in detail and physical and mathematical aspects of this class are discussed both analytically and numerically
ISBN,Price9783540315131
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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I07032     On Shelf    

38.     
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TitleTopological Quantum Field Theory and Four Manifolds
Author(s)Labastida, Jose;Marino, Marcos
PublicationDordrecht, Springer Netherlands, 2005.
DescriptionX, 224 p : online resource
Abstract NoteThe present book is the first of its kind in dealing with topological quantum field theories and their applications to topological aspects of four manifolds. It is not only unique for this reason but also because it contains sufficient introductory material that it can be read by mathematicians and theoretical physicists. On the one hand, it contains a chapter dealing with topological aspects of four manifolds, on the other hand it provides a full introduction to supersymmetry. The book constitutes an essential tool for researchers interested in the basics of topological quantum field theory, since these theories are introduced in detail from a general point of view. In addition, the book describes Donaldson theory and Seiberg-Witten theory, and provides all the details that have led to the connection between these theories using topological quantum field theory. It provides a full account of Witten???s magic formula relating Donaldson and Seiberg-Witten invariants. Furthermore, the book presents some of the recent developments that have led to important applications in the context of the topology of four manifolds
ISBN,Price9781402031779
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL PHYSICS 5. Theoretical, Mathematical and Computational Physics 6. TOPOLOGY
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39.     
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TitleThe Many Faces of Maxwell, Dirac and Einstein Equations : A Clifford Bundle Approach
Author(s)Rodrigues, Waldyr A;Oliveira, Edmundo C
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2007.
DescriptionXIV, 445 p : online resource
Abstract NoteThis book is a thoughtful exposition of the algebra and calculus of differential forms, the Clifford and Spin-Clifford bundles formalisms with emphasis in calculation procedures, and vistas to a formulation of some important concepts of differential geometry necessary for a deep understanding of spacetime physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, are shown to have representatives as objects of the same mathematical nature, i.e. as sections of an appropriate Clifford bundle. This approach reveals unity in the diversity and also the many faces of the equations satisfied by those fields. Moreover, it suggests relationships which are hidden in the standard formalisms and new paths for research. Some foundational issues of relativistic field theories, in particular the one concerning the conditions for the existence of the conservation laws of energy-momentum and angular momentum in spacetime theories and many misconceptions concerning this issue is analyzed in details. The book will be useful as reference book for researchers and advanced students of theoretical physics and mathematics. Calculation procedures are illustrated by many exercises solved in detail, using the "tricks of the trade". Furthermore the readers will appreciate the comprehensive list of mathematical symbols as well as a list of acronyms and abbreviations
ISBN,Price9783540712930
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Classical and Quantum Gravitation, Relativity Theory 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. GRAVITATION 8. MATHEMATICAL ANALYSIS 9. Mathematical Methods in Physics 10. PHYSICS
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I06614     On Shelf    

40.    
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TitleTopology and Geometry in Physics
Author(s)Bick, Eike;Steffen, Frank Daniel
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionXIII, 362 p : online resource
Abstract NoteApplication of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material
ISBN,Price9783540315322
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. PHYSICS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. STRING THEORY
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I06601     On Shelf    

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