{"product_id":"serres-problem-on-projective-modules-9783540233176","title":"Serre's Problem on Projective Modules","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAn invaluable summary of research work done in the period from 1978 to the present\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\"It is a full-fledged advanced course on themes in higher algebra suited for a specialized graduate seminar, a research seminar, and of course, self-study by an aspiring researcher. … Serre’s Problem on Projective Modules, is very clear and well written … and quickly gets the reader properly air-borne. … the pay-off is huge: this is fantastic stuff. … is a superb book. It’s highly recommended.\" (Michael Berg, MathDL, March, 2007)\u003c\/p\u003e \u003cp\u003e\"The book starts with the basics of projective modules and the K\u003csub\u003e0\u003c\/sub\u003e and K\u003csub\u003e1\u003c\/sub\u003e groups, and then gives the classical, partial results about Serre’s conjecture. … This well-written book is the definitive treatment of ‘Serre’s conjecture’ – its history, solution, and generalizations – and will be of interest to both beginning graduate students and advanced researchers in this field.\" (David F. Anderson, Zentralblatt MATH, Vol. 1101 (3), 2007)\u003c\/p\u003e \u003cp\u003e\"Lam has done a magnificent job of organizing the mated al and presenting complete proofs of all the results directly connected with Sen-e's problem. ... The references are complete and make the book a very valuable reference even for experts in the field.... It will be very useful to students wishing to learn about projective modules ... . This is definitely a book that anyone ... interested in projective modules should have on his or her shelf!\" (Richard G. Swan, Bulletin of the American Mathematical Society, Vol. 45 (3), July, 2008)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eto Serre’s Conjecture: 1955–1976.- Foundations.- The “Classical” Results on Serre’s Conjecture.- The Basic Calculus of Unimodular Rows.- Horrocks’ Theorem.- Quillen’s Methods.- K1-Analogue of Serre’s Conjecture.- The Quadratic Analogue of Serre’s Conjecture.- References for Chapters I–VII.- Appendix: Complete Intersections and Serre’s Conjecture.- New Developments (since 1977).- References for Chapter VIII.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":51772020883799,"sku":"9783540233176","price":85.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783540233176.jpg?v=1758729970","url":"https:\/\/bookcurl.com\/products\/serres-problem-on-projective-modules-9783540233176","provider":"Book Curl","version":"1.0","type":"link"}