{"product_id":"algebraic-k-theory-9780817647360","title":"Algebraic K-Theory","description":"\u003cp\u003e • Author(s): Vasudevan Srinivas\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Algebra - Linear\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eAlgebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience.\u003c\/p\u003e \u003cp\u003eA central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers \"Higher Algebraic K-Theory, I, II.\" A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties.\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\"It is a pleasure to read this mathematically beautiful book...\" \u003cstrong\u003e---\u003cem\u003eWW.J. Julsbergen, Mathematics Abstracts\u003c\/em\u003e\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e\"The book does an admirable job of presenting the details of Quillen's work...\" \u003cstrong\u003e\u003cem\u003e---Mathematical Reviews\u003c\/em\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274209747095,"sku":"9780817647360","price":5094.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817647360.webp?v=1769279242","url":"https:\/\/atlanticbooks.com\/products\/algebraic-k-theory-9780817647360","provider":"Atlantic Books","version":"1.0","type":"link"}