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31 Esposito, Giampiero Quantum Gravity, Quantum Cosmology and Lorentzian Geometries I03591 1994 eBook  
32 Engel, P Geometric Crystallography I02995 1986 eBook  
33 Chat??, H Mixing I02711 1999 eBook  
34 Derdzinski, Andrzej Geometry of the Standard Model of Elementary Particles I02506 1992 eBook  
35 Schlomiuk, Dana Bifurcations and Periodic Orbits of Vector Fields I01719 1993 eBook  
36 Bozh??y??k, M.E Topics in Knot Theory I01396 1993 eBook  
37 Bisztriczky, Tibor Polytopes I01146 1994 eBook  
38 Tifft, W.G Modern Mathematical Models of Time and their Applications to Physics and Cosmology I01088 1997 eBook  
39 Majer, Ulrich Reflections on Spacetime I00259 1995 eBook  
40 Hestenes, D Clifford Algebra to Geometric Calculus I00122 1984 eBook  
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31.    
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TitleQuantum Gravity, Quantum Cosmology and Lorentzian Geometries
Author(s)Esposito, Giampiero
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1994.
DescriptionXVIII, 354 p : online resource
Abstract NoteThis book is aimed at theoretical and mathematical physicists and mathematicians interested in modern gravitational physics. I have thus tried to use language familiar to readers working on classical and quantum gravity, paying attention both to difficult calculations and to existence theorems, and discussing in detail the current literature. The first aim of the book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation of this research was to under?? stand whether supersymmetric theories are one-loop finite in the presence of boundaries, with application to the boundary-value problemsoccurring in quantum cosmology. Indeed, higher-loop calculations in the absence of boundaries are already available in the litera?? ture, showing that supergravity is not finite. I believe, however, that one-loop calculations in the presence of boundaries are more fundamental, in that they provide a more direct check of the inconsistency of supersymmetric quantum cosmology from the perturbative point of view. It therefore appears that higher-order calculations are not strictly needed, if the one-loop test already yields negative results. Even though the question is not yet settled, this research has led to many interesting, new applications of areas of theoretical and mathematical physics such as twistor theory in flat space, self-adjointness theory, the generalized Riemann zeta-function, and the theory of boundary counterterms in super?? gravity. I have also compared in detail my work with results by other authors, explaining, whenever possible, the origin of different results, the limits of my work and the unsolved problems
ISBN,Price9783540472957
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. Classical and Quantum Gravitation, Relativity Theory 6. EBOOK 7. EBOOK - SPRINGER 8. GEOMETRY 9. GRAVITATION 10. Observations, Astronomical 11. QUANTUM COMPUTERS 12. Quantum Information Technology, Spintronics 13. QUANTUM PHYSICS 14. SPINTRONICS
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32.     
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TitleGeometric Crystallography : An Axiomatic Introduction to Crystallography
Author(s)Engel, P
PublicationDordrecht, Springer Netherlands, 1986.
Description274 p : online resource
Abstract NoteIn the last decade mathematical crystallography has found increasing interest. Siginificant results have been obtained by algebraic, geometric, and group theoretic methods. Also classical crystallography in three-dimen?? sional Euclidean space has been extended to higher dimen?? sions in order to understand better the dimension independent crystallographic properties. The aim of this note is to introduce the reader to the fascinating and rich world of geometric crystallography. The prerequisites for reading it are elementary geometry and topological notations, and basic knowledge of group theory and linear algebra. Crystallography is geometric by its nature. In many cases, geometric arguments are the most appropriate and can thus best be understood. Thus the geometric point of view is emphasized here. The approach is axiomatic start?? ing from discrete point sets in Euclidean space. Symmetry comes in very soon and plays a central role. Each chapter starts with the necessary definitions and then the subject is treated in two- and three-dimensional space. Subsequent sections give an extension to higher dimensions. Short historical remarks added at the end of the chapters will show the development of the theory. The chapters are main?? ly self-contained. Frequent cross references, as well as an extended subject index, will help the reader who is only interested in a particular subject
ISBN,Price9789400947603
Keyword(s)1. CRYSTALLOGRAPHY 2. Crystallography and Scattering Methods 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY
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33.     
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TitleMixing : Chaos and Turbulence
Author(s)Chat??, H;Villermaux, E;Chomaz, J.-M
PublicationNew York, NY, Springer US, 1999.
DescriptionX, 396 p : online resource
Abstract NoteMixing may be thought of as the operation by which a system evolves from one state of simplicity (initial segregation) to another state of simplicity (complete uniformity). Between these two extremes, complex patterns emerge and die. Questions naturally arise- how can the geometry of complex patterns be characterised, what is the time scale of the process, what structures are involved in the flow? This volume, comprising the proceedings of the NATO ASI on Mixing, attempts to address these questions from the approaches of geometry, kinetics and structure. The ASI which brought together diverse communities with a common interest in the problem of mixing, now provides us with a comprehensive work on the problem of mixing
ISBN,Price9781461546979
Keyword(s)1. Classical and Continuum Physics 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. Continuum physics 5. EBOOK 6. EBOOK - SPRINGER 7. GEOMETRY 8. MATHEMATICAL PHYSICS 9. Theoretical, Mathematical and Computational Physics
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34.     
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TitleGeometry of the Standard Model of Elementary Particles
Author(s)Derdzinski, Andrzej
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1992.
DescriptionXI, 199 p : online resource
Abstract NoteThe book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations. It addresses students in physics and mathematics
ISBN,Price9783642503108
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. GEOMETRY 6. Mathematical Methods in Physics 7. PHYSICS 8. QUANTUM FIELD THEORY
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35.     
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TitleBifurcations and Periodic Orbits of Vector Fields
Author(s)Schlomiuk, Dana
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXVIII, 474 p : online resource
Abstract NoteThe last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy?? namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work
ISBN,Price9789401582384
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GEOMETRY 7. GLOBAL ANALYSIS (MATHEMATICS) 8. Global Analysis and Analysis on Manifolds 9. Manifolds (Mathematics) 10. Numeric Computing 11. NUMERICAL ANALYSIS 12. ORDINARY DIFFERENTIAL EQUATIONS 13. Sequences (Mathematics) 14. Sequences, Series, Summability
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36.     
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TitleTopics in Knot Theory
Author(s)Bozh??y??k, M.E
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXIV, 353 p : online resource
Abstract NoteTopics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory
ISBN,Price9789401116954
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. COMPUTER GRAPHICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GEOMETRY 8. GROUP THEORY 9. Group Theory and Generalizations 10. MATHEMATICAL PHYSICS 11. Theoretical, Mathematical and Computational Physics
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37.     
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TitlePolytopes : Abstract, Convex and Computational
Author(s)Bisztriczky, Tibor;McMullen, Peter;Schneider, Rolf;Weiss, Asia Ivic
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIX, 507 p : online resource
Abstract NoteThe aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels
ISBN,Price9789401109246
Keyword(s)1. Computer science???Mathematics 2. Convex and Discrete Geometry 3. Convex geometry?? 4. Discrete geometry 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. GEOMETRY 9. GROUP THEORY 10. Group Theory and Generalizations 11. Numeric Computing 12. NUMERICAL ANALYSIS
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38.     
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TitleModern Mathematical Models of Time and their Applications to Physics and Cosmology : Proceedings of the International Conference held in Tucson, Arizona, 11???13 April, 1996
Author(s)Tifft, W.G;Cocke, W.J
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionV, 396 p : online resource
Abstract NoteThe nature of time has long puzzled physicists and philosophers. Time potentially has very fundamental yet unknown properties. In 1993 a new model of multi-dimensional time was found to relate closely to properties of the cosmological redshift. An international conference was subsequently convened in April 1996 to examine past, current and new concepts of time as they relate to physics and cosmology. These proceedings incorporate 34 reviews and contributed papers from the conference. The major reviews include observational properties of the redshift, alternative cosmologies, critical problems in cosmology, alternative viewpoints and problems in gravitation theory and particle physics, and new approaches to mathematical models of time. Professionals and students with an interest in cosmology and the structure of the universe will find that this book raises critical problems and explores challenging alternatives to classical viewpoints
ISBN,Price9789401156288
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. Astronomy, Observations and Techniques 4. Astronomy???Observations 5. ASTROPHYSICS 6. Classical and Quantum Gravitation, Relativity Theory 7. EBOOK 8. EBOOK - SPRINGER 9. GEOMETRY 10. GRAVITATION 11. MATHEMATICAL PHYSICS 12. Observations, Astronomical 13. Statistics, general 14. Statistics?? 15. Theoretical, Mathematical and Computational Physics
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39.     
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TitleReflections on Spacetime : Foundations, Philosophy, History
Author(s)Majer, Ulrich;Schmidt, Heinz-J??rgen
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionIII, 165 p : online resource
Abstract NoteREFLECTIONS ON SPACETIME - FOUNDATIONS, PHILOSOPHY AND HISTORY During the academic year 1992/93, an interdisciplinary research group constituted itself at the Zentrum fUr interdisziplinare Forschung (ZiF) in Bielefeld, Germany, under the title 'Semantical Aspects of Spacetime Theories', in which philosophers and physicists worked on topics in the interpretation and history of relativity theory. The present issue consists of contributions resulting from material presented and discussed in the group during the course of that year. The scope of the papers ranges from rather specialised issues arising from general relativity such as the problem of referential indeterminacy, to foundational questions regarding spacetime in the work of Carnap, Weyl and Hilbert. It is well known that the General Theory of Relativity (GTR) admits spacetime models which are 'exotic' in the sense that observers could travel into their own past. This poses a number of problems for the physical interpretation of GTR which are also relevant in the philosophy of spacetime. It is not enough to exclude these exotic models simply by stating that we live in a non-exotic universe, because it might be possible to "operate time machines" by actively changing the topology of the future part of spacetime. In his contribution, Earman first reviews the attempts of physicists to prove "chronology protection theorems" (CPTs) which exclude the operation of time machines under reasonable assumptions
ISBN,Price9789401728720
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GRAVITATION 6. HISTORY 7. History and Philosophical Foundations of Physics 8. HISTORY OF SCIENCE 9. MATHEMATICAL PHYSICS 10. Philosophy and science 11. PHILOSOPHY OF SCIENCE 12. PHYSICS 13. Theoretical, Mathematical and Computational Physics
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40.    
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TitleClifford Algebra to Geometric Calculus : A Unified Language for Mathematics and Physics
Author(s)Hestenes, D;Sobczyk, Garret
PublicationDordrecht, Springer Netherlands, 1984.
DescriptionXVIII, 314 p : online resource
Abstract NoteMatrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebm' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas
ISBN,Price9789400962927
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GROUP THEORY 6. Group Theory and Generalizations 7. MATHEMATICAL PHYSICS 8. Theoretical, Mathematical and Computational Physics
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I00122     On Shelf    

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