{"product_id":"9789048143733","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eElduque, Alberto; Hyo Chyl Myung\u003c\/h2\u003e \u003cp\u003eAround 1978, a mutation of associative algebras was introduced  to generalize the formalism of classical mechanics as well as quantum  mechanics. \u003cbr\u003e  This volume presents the first book devoted to a self-contained and  detailed treatment of the mathematical theory of mutation algebras,  which is based on research in this subject over the past fifteen  years. The book also deals with a broader class of algebras, mutations  of alternative algebras, which are a natural generalization of  mutations of associative algebras. A complete structure theory,  including automorphisms, derivations and certain representations, is  given for mutations of artinian alternative algebras, and, in  particular, of Cayley--Dickson algebras. Since the mutation algebras  do not form a variety, the structure theory explored in this volume  takes quite a different approach from the standard theory of  nonassociative algebras and provides an important interplay with the  theory of noncommutative (associative) algebras through mutation  parameters. New simple algebras and open problems presented in this  book will stimulate additional research and applications in the area.  \u003cbr\u003e  This book will be valuable to graduate students, mathematicians and  physicists interested in applications of algebras. \u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-12-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789048143733\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-015-8279-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 226\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":44398484193420,"sku":"9789048143733","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789048143733.jpg?v=1775679372","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789048143733","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}