Techniques Of Differential Topology In Relativity
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Techniques Of Differential Topology In Relativity
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Author : Roger Penrose
language : en
Publisher: SIAM
Release Date : 1972-06-01
Techniques Of Differential Topology In Relativity written by Roger Penrose and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-06-01 with Technology & Engineering categories.
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Techniques Of Differential Topology In
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Author : Roger Penrose
language : en
Publisher:
Release Date : 1972
Techniques Of Differential Topology In written by Roger Penrose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Techniques In Differential Topology In Relativity
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Author : Roger Penrose
language : en
Publisher:
Release Date : 1987
Techniques In Differential Topology In Relativity written by Roger Penrose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Differential topology categories.
Techniques Of Differential Topology In Relativity Based On Lectures Conference Board Of The Mathematical Sciences Regional Conference Series In Applied Mathematics
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Author :
language : en
Publisher:
Release Date :
Techniques Of Differential Topology In Relativity Based On Lectures Conference Board Of The Mathematical Sciences Regional Conference Series In Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Variational Methods In Lorentzian Geometry
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Author : Antonio Masiello
language : en
Publisher: Routledge
Release Date : 2017-10-05
Variational Methods In Lorentzian Geometry written by Antonio Masiello and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Mathematics categories.
Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.
Geometry Topology And Physics
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Author : Mikio Nakahara
language : en
Publisher: Taylor & Francis
Release Date : 2018-10-03
Geometry Topology And Physics written by Mikio Nakahara and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Spacetime
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Author : Marcus Kriele
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Spacetime written by Marcus Kriele and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.
Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop
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Author : Antonio Ambrosetti
language : en
Publisher: World Scientific
Release Date : 1995-09-30
Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop written by Antonio Ambrosetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-30 with categories.
In this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local point of view and the point of view of global analysis.
Introduction To Differential Topology
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Author : Theodor Bröcker
language : en
Publisher: Cambridge University Press
Release Date : 1982-09-16
Introduction To Differential Topology written by Theodor Bröcker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-09-16 with Mathematics categories.
This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.
Lectures On Geometric Methods In Mathematical Physics
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Author : Jerrold E. Marsden
language : en
Publisher: SIAM
Release Date : 1981-01-01
Lectures On Geometric Methods In Mathematical Physics written by Jerrold E. Marsden and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Science categories.
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.