{"product_id":"9783031097997","title":"Universitext: A First Course","description":"\u003ch1\u003eUniversitext: A First Course\u003c\/h1\u003e \u003ch2\u003eKnebusch, Manfred; Scheiderer, Claus; Unger, Thomas; Unger, Thomas\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cdiv\u003eThis 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\u003eEinführung in die reelle Algebra\u003c\/i\u003e.\u003c\/div\u003e\n\u003cdiv\u003e \u003c\/div\u003e\n\u003cdiv\u003eBeginning 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.\u003c\/div\u003e\n\u003cdiv\u003e \u003c\/div\u003e\n\u003cdiv\u003e\n\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.\u003c\/div\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-10-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031097997\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-09800-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 206\u003c\/p\u003e ","brand":"Friedr. Vieweg \u0026 Sohn, Braunschweig\/Wiesbaden","offers":[{"title":"Default Title","offer_id":45578456858764,"sku":"9783031097997","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031097997_c3be43dc-c619-41cc-a253-c03b119a4722.jpg?v=1775729346","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031097997","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}