Screen LibraryTopics in Physical Mathematics
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Springer,
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| Publisher Address: | Dordrecht |
| Publication Dates: | 2010. |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-1-84882-939-8 |
| Carrier Form: | 1 online resource (457 p.): |
| ISBN: |
9781848829398 (electronic bk.) 1848829396 (electronic bk.) |
| Index Number: | O1 |
| CLC: | O1 |
| Contents: |
Description based upon print version of record. Topics in Physical Mathematics; Contents; Preface; Acknowledgements; Chapter 1: Algebra; Chapter 2: Topology; Chapter 3: Manifolds; Chapter 4: Bundles and Connections; Chapter 5: Characteristic Classes; Chapter 6: Theory of Fields, I: Classical; Chapter 7: Theory of Fields, II: Quantum and Topological; Chapter 8: Yang -- Mills -- Higgs Fields; Chapter 9: 4-Manifold Invariants; Chapter 10: 3-Manifold Invariants; Chapter 11: Knot and Link Invariants; Epilogue; Appendix A: Correlation of Terminology; Appendix B: Background Notes; Appendix C: Categories and Chain Complexes This title adopts the view that physics is the primary driving force behind a number of developments in mathematics. Previously, science and mathematics were part of natural philosophy and many mathematical theories arose as a result of trying to understand natural phenomena. This situation changed at the beginning of last century as science and mathematics diverged. These two fields are collaborating once again; 'Topics in Mathematical Physics' takes the reader through this journey. The author discusses topics where the interaction of physical and mathematical theories has led to new points o |