{"product_id":"fundamentals-of-advanced-mathematics-1-categories-algebraic-structures-linear-and-homological-algebra-hardback-9781785481734","title":"Fundamentals of Advanced Mathematics 1; Categories, Algebraic Structures, Linear and Homological Algebra (Hardback) 9781785481734","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFundamentals of Advanced Mathematics 1\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eCategories, Algebraic Structures, Linear and Homological Algebra\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003e\u003cp\u003eContains the fundamental mathematics necessary to study the theory of dynamic systems, algebraic geometry, and differential geometry\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHenri Bourles (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781785481734, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 July 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e268 pages\u003cbr\u003e22.9 x 15.1 x 2.2 cm, 0.56 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"The volume is well organized and carefully written, and the reader gets useful knowledge about various topics, mainly from category theory and algebra. The volume will surely be a valuable tool for the targeted specialists, who may take advantage of the solid mathematical foundation set by the author. But it also produces an interesting selection of results, which may offer some perspectives to algebraists interested in applications to other fields of research.\" \u003cb\u003e--MathSciNet\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThis precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering.\u003c\/p\u003e  \u003cp\u003eThis first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). \u003c\/p\u003e  \u003cp\u003eThe book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e1. Categories and Functors 2. Elementary Algebraic Structures 3. Modules and Algebras\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"ISTE Press - Elsevier","offers":[{"title":"Default Title","offer_id":46651732263192,"sku":"9781785481734","price":94.48,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781785481734_c5ce40fc-4d8b-4bd2-89b5-2cfad6677fa1.jpg?v=1696694791","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fundamentals-of-advanced-mathematics-1-categories-algebraic-structures-linear-and-homological-algebra-hardback-9781785481734","provider":"Freshly Printed Books","version":"1.0","type":"link"}