{"product_id":"differential-geometry-and-lie-groups-for-physicists-hardback-9780521845076","title":"Differential Geometry and Lie Groups for Physicists (Hardback) 9780521845076","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDifferential Geometry and Lie Groups for Physicists\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMarián Fecko (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521845076, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 October 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e714 pages\u003cbr\u003e25.3 x 17.6 x 3.9 cm, 1.54 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'From the point of view of presentation the book has a lot going for it. It is written in a pedagogically discursive, conversational style with numerous workable examples and exercises distributed through the text. … From the UK perspective a student undertaking a level 4 (level 5 in Scotland) or MSc course in theoretical physics would find this book well-pitched to his or her needs.' Contemporary Physics\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDifferential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. The concept of a manifold\u003cbr\u003e 2. Vector and tensor fields\u003cbr\u003e 3. Mappings of tensors induced by mappings of manifolds\u003cbr\u003e 4. Lie derivative\u003cbr\u003e 5. Exterior algebra\u003cbr\u003e 6. Differential calculus of forms\u003cbr\u003e 7. Integral calculus of forms\u003cbr\u003e 8. Particular cases and applications of Stoke's Theorem\u003cbr\u003e 9. Poincaré Lemma and cohomologies\u003cbr\u003e 10. Lie Groups - basic facts\u003cbr\u003e 11. Differential geometry of Lie Groups\u003cbr\u003e 12. Representations of Lie Groups and Lie Algebras\u003cbr\u003e 13. Actions of Lie Groups and Lie Algebras on manifolds\u003cbr\u003e 14. Hamiltonian mechanics and symplectic manifolds\u003cbr\u003e 15. Parallel transport and linear connection on M\u003cbr\u003e 16. Field theory and the language of forms\u003cbr\u003e 17. Differential geometry on TM and T*M\u003cbr\u003e 18. Hamiltonian and Lagrangian equations\u003cbr\u003e 19. Linear connection and the frame bundle\u003cbr\u003e 20. Connection on a principal G-bundle\u003cbr\u003e 21. Gauge theories and connections\u003cbr\u003e 22. Spinor fields and Dirac operator\u003cbr\u003e Appendices\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265232097560,"sku":"9780521845076","price":110.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521845076i.jpg?v=1692020811","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/differential-geometry-and-lie-groups-for-physicists-hardback-9780521845076","provider":"Freshly Printed Books","version":"1.0","type":"link"}