{"product_id":"9783032314345","title":"Introduction to Algebraic K-Theory Categories and Topology","description":"\u003ch3\u003eCompact Textbooks in Mathematics\u003c\/h3\u003e\u003ch1\u003eIntroduction to Algebraic K-Theory\u003c\/h1\u003e\u003ch2\u003eCategories and Topology\u003c\/h2\u003e\u003ch3\u003eIb Madsen | Irakli Patchkoria\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Algebra \/ Abstract\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\u003eThis book gives a basic introduction to the algebraic K-theory space K(R) without assuming much knowledge in category theory or homotopy theory.\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003eThe work is divided into two parts. Part I introduces all the necessary tools from category theory and simplicial homotopy theory which one needs to define the K-theory space. Part II defines K(R) and studies the basic properties of these spaces.\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003eWhile many textbooks cover the classical material in algebraic K-theory, this book offers an accessible introduction to this active area of research for graduate students. One can also view these lecture notes as an introduction to the use of categories in homotopy theory, or rather the interaction between the two areas of mathematics. \u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003eIb Madsen is a Professor of Mathematics at the University of Copenhagen. He is one of the leading algebraic topologists and has made significant progress in geometric topology and algebraic K-theory over the last 50 years. Together with Bökstedt and Hsiang, he invented Topological Cyclic Homology and introduced trace methods, which are among the main tools for computing algebraic K-theory. Along with Hesselholt, he made fundamental computations in algebraic K-theory. Ib Madsen has authored many publications in prestigious journals and several books.   Irakli Patchkoria is a Lecturer at the University of Aberdeen, working in algebraic topology. He specializes in equivariant stable homotopy theory and has worked for many years on Topological Cyclic and Hochschild Homology and their applications. In particular, he has worked on computations of the real TC, Witt vectors with coefficients, and Hermitian K-theory.\u003c\/p\u003e\r\n\u003cp\u003eIrakli Patchkoria is a Senior Lecturer at the University of Aberdeen, working in algebraic topology. He specializes in (equivariant) stable homotopy theory and has worked for many years on Topological Cyclic and Hochschild Homology and their applications. In particular, he has worked on computations of the real THH and TC, Witt vectors with coefficients, algebraic K-theory, and the de Rham-Witt complex. \u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e14 August 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eBirkhäuser\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032314345\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":50450437832844,"sku":"9783032314345","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032314345.jpg?v=1780596808","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032314345","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}