{"product_id":"a-physicists-introduction-to-algebraic-structures-vector-spaces-groups-topological-spaces-and-more-hardback-9781108492201","title":"A Physicist's Introduction to Algebraic Structures; Vector Spaces, Groups, Topological Spaces and More (Hardback) 9781108492201","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Physicist's Introduction to Algebraic Structures\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eVector Spaces, Groups, Topological Spaces and More\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAlgebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePalash B. Pal (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108492201, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 23 May 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e712 pages\u003cbr\u003e24.8 x 18.8 x 3.4 cm, 1.24 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAn algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the entire set. Many algebraic structures, such as vector space and group, come to everyday use of a modern physicist. Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra, measure space and Lebesgue integral. Important topics including finite and infinite dimensional vector spaces, finite groups and their representations, unitary groups and their representations and representations of the Lorentz group, homotopy and homology of topological spaces are covered extensively. Rich pedagogy includes various problems interspersed throughout the book for better understanding of concepts.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Part I. General Introduction: 1. Rules of logic\u003cbr\u003e 2. Sets and functions\u003cbr\u003e 3. Algebraic structures\u003cbr\u003e Part II. Vector Spaces: 4. Basics\u003cbr\u003e 5. Operators on vector spaces\u003cbr\u003e 6. Infinite dimensional vector spaces\u003cbr\u003e Part III. Group Theory: 7. General properties of groups\u003cbr\u003e 8. Finite groups\u003cbr\u003e 9. Representation of finite groups\u003cbr\u003e 10. Symmetries of regular geometrical objects\u003cbr\u003e 11. Countably infinite groups\u003cbr\u003e 12. General properties of Lie groups\u003cbr\u003e 13. Rotations and translations\u003cbr\u003e 14. Unitary groups and their representations\u003cbr\u003e 15. Orthogonal groups and their representations\u003cbr\u003e 16. Parameter space of Lie groups\u003cbr\u003e 17. Representations of the Lorentz group\u003cbr\u003e 18. Roots and weights\u003cbr\u003e 19. Some other groups and algebras\u003cbr\u003e Part IV. Topology: 20. Continuity of functions\u003cbr\u003e 21. Topological spaces\u003cbr\u003e 22. Homotopy theory\u003cbr\u003e 23. Homology\u003cbr\u003e Appendices\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\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":46003706888472,"sku":"9781108492201","price":58.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108492201i_5fc864fc-39ad-4c3a-adb3-c7f046c603ea.jpg?v=1696706692","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-physicists-introduction-to-algebraic-structures-vector-spaces-groups-topological-spaces-and-more-hardback-9781108492201","provider":"Freshly Printed Books","version":"1.0","type":"link"}