02311nam a2200397 i 4500991003531919707536m o d cr cnu|||unuuu180808s2016 sz a ob 001 0 eng d9783319423128331942312610.1007/978-3-319-42312-8b14348214-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng51423AMS 14-03LC QA611Popescu-Pampu, Patrick721066What is the genus?[e-book] /Patrick Popescu-PampuSwitzerland :Springer,20161 online resource (xvii, 184 pages) :illustrationstexttxtrdacontentcomputercrdamediaonline resourcecrrdacarrierLecture notes in mathematics,0075-8434 ;2162"Expanded translation by the author of the original French edition."Includes bibliographical references and indexExploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomenaTopologyMathematicsHistoryhttps://link.springer.com/book/10.1007/978-3-319-42312-8An electronic book accessible through the World Wide Web.b1434821403-03-2208-08-18991003531919707536What is the Genus1412570UNISALENTOle01308-08-18m@ -engsz 00