{"product_id":"9780081021125","title":"Fundamentals of Advanced Mathematics 1: Categories, Algebraic Structures, Linear and Homological Algebra","description":"\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\u003cul\u003e\n\u003cli\u003ePart of the \u003ci\u003eNew Mathematical Methods, Systems, and Applications \u003c\/i\u003eseries\u003c\/li\u003e\n\u003cli\u003ePresents the notions, results, and proofs necessary to understand and master the various topics\u003c\/li\u003e\n\u003cli\u003eProvides a unified notation, making the task easier for the reader. \u003c\/li\u003e\n\u003cli\u003eIncludes several summaries of mathematics for engineers\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47079417381104,"sku":"9780081021125","price":127.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780081021125_p0.jpg?v=1763639077","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780081021125","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}