Geometry Topology and Physics Ebook

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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 Polakovs 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 Additional ISBNs 9780750306065 0750306068Geometry Topology and Physics EbookBy Mikio Nakahara Publisher routledge Print ISBN 9781138413368 1138413364 eText ISBN 9781420056945 1420056948 Edition 2nd Copyright year 2003 Format PDF Available from 3678 USD SKU 9781420056945R90 Downloaded copy on your device does not expire

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9780750306065

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 Polakovs 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 Additional ISBNs 9780750306065 0750306068Geometry Topology and Physics EbookBy Mikio Nakahara Publisher routledge Print ISBN 9781138413368 1138413364 eText ISBN 9781420056945 1420056948 Edition 2nd Copyright year 2003 Format PDF Available from 3678 USD SKU 9781420056945R90 Downloaded copy on your device does not expire