{"product_id":"real-algebra-manfred-knebusch-9783031097997","title":"Real Algebra: A First Course","description":"This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook \u003ci\u003eEinf?rung in die reelle Algebra\u003c\/i\u003e. Beginning with the basics of ordered fields and their real closures, the book proceeds to discuss methods for counting the number of real roots of polynomials. Followed by a thorough introduction to Krull valuations, this culminates in Artin's solution of Hilbert's 17th Problem. Next, the fundamental concept of the real spectrum of a commutative ring is introduced with applications. The final chapter gives a brief overview of important developments in real algebra and geometry--as far as they are directly related to the contents of the earlier chapters--since the publication of the original German edition. \u003ci\u003eReal Algebra\u003c\/i\u003e is aimed at advanced undergraduate and beginning graduate students who have a good grounding in linear algebra, field theory and ring theory. It also provides a carefully written reference for specialists in real algebra, real algebraic geometry and related fields.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Manfred Knebusch, Claus Scheiderer\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031097998\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031097997\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/23\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 206\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.69lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.46d","brand":"Manfred Knebusch","offers":[{"title":"Paperback","offer_id":45477049696511,"sku":"9783031097997","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fee28aaf-8d82-4bd3-991c-430b9e72f8cd.jpg?v=1715918908","url":"https:\/\/www.whiterainbookhouse.com\/products\/real-algebra-manfred-knebusch-9783031097997","provider":"WR Book House","version":"1.0","type":"link"}