000945510 000__ 03172cam\a2200517Ia\4500 000945510 001__ 945510 000945510 005__ 20230306152526.0 000945510 006__ m\\\\\o\\d\\\\\\\\ 000945510 007__ cr\un\nnnunnun 000945510 008__ 200926s2020\\\\sz\\\\\\o\\\\\000\0\eng\d 000945510 019__ $$a1197840235$$a1198395164 000945510 020__ $$a9783030431044$$q(electronic book) 000945510 020__ $$a3030431045$$q(electronic book) 000945510 020__ $$z9783030431037 000945510 0248_ $$a10.1007/978-3-030-43 000945510 035__ $$aSP(OCoLC)on1197867567 000945510 035__ $$aSP(OCoLC)1197867567$$z(OCoLC)1197840235$$z(OCoLC)1198395164 000945510 040__ $$aEBLCP$$beng$$cEBLCP$$dLQU$$dEBLCP$$dNLW$$dGW5XE$$dOCLCO 000945510 0411_ $$aeng$$hfre 000945510 049__ $$aISEA 000945510 050_4 $$aQA564 000945510 08204 $$a516.3/5$$223 000945510 1001_ $$aMangolte, Frédéric. 000945510 24010 $$aVariétés algébriques réelles.$$lEnglish 000945510 24510 $$aReal algebraic varieties /$$cFrédéric Mangolte. 000945510 260__ $$aCham :$$bSpringer,$$c2020. 000945510 300__ $$a1 online resource (453 pages). 000945510 336__ $$atext$$btxt$$2rdacontent 000945510 337__ $$acomputer$$bc$$2rdamedia 000945510 338__ $$aonline resource$$bcr$$2rdacarrier 000945510 4901_ $$aSpringer Monographs in Mathematics 000945510 506__ $$aAccess limited to authorized users. 000945510 520__ $$aThis book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the "folklore". In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter. 000945510 588__ $$aDescription based on print version record. 000945510 650_0 $$aGeometry, Algebraic. 000945510 650_0 $$aVariables (Mathematics) 000945510 650_0 $$aManifolds (Mathematics) 000945510 650_0 $$aComplex manifolds. 000945510 650_0 $$aFunctions of complex variables. 000945510 7001_ $$aMaclean, Catriona,$$etranslator. 000945510 77608 $$iPrint version:$$aMangolte, édéric$$tReal Algebraic Varieties$$dCham : Springer International Publishing AG,c2020$$z9783030431037 000945510 830_0 $$aSpringer monographs in mathematics. 000945510 85280 $$bebk$$hSpringerLink 000945510 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-43104-4$$zOnline Access$$91397441.1 000945510 909CO $$ooai:library.usi.edu:945510$$pGLOBAL_SET 000945510 980__ $$aEBOOK 000945510 980__ $$aBIB 000945510 982__ $$aEbook 000945510 983__ $$aOnline 000945510 994__ $$a92$$bISE