@article{945510,
      recid = {945510},
      author = {Mangolte, Frédéric. and Maclean, Catriona,},
      title = {Real algebraic varieties /},
      publisher = {Springer,},
      address = {Cham :},
      pages = {1 online resource (453 pages).},
      year = {2020},
      abstract = {This 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.},
      url = {http://library.usi.edu/record/945510},
}