LEADER 02311nam a2200397 i 4500 001 991003531919707536 006 m o d 007 cr cnu|||unuuu 008 180808s2016 sz a ob 001 0 eng d 020 $a9783319423128 020 $a3319423126 024 7 $a10.1007/978-3-319-42312-8 035 $ab14348214-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a514$223 084 $aAMS 14-03 084 $aLC QA611 100 1 $aPopescu-Pampu, Patrick$0721066 245 10$aWhat is the genus?$h[e-book] /$cPatrick Popescu-Pampu 264 1$aSwitzerland :$bSpringer,$c2016 300 $a1 online resource (xvii, 184 pages) :$billustrations 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2162 500 $a"Expanded translation by the author of the original French edition." 504 $aIncludes bibliographical references and index 520 $aExploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena 650 0$aTopology 650 0$aMathematics$xHistory 856 40$uhttps://link.springer.com/book/10.1007/978-3-319-42312-8$zAn electronic book accessible through the World Wide Web 907 $a.b14348214$b03-03-22$c08-08-18 912 $a991003531919707536 996 $aWhat is the Genus$91412570 997 $aUNISALENTO 998 $ale013$b08-08-18$cm$d@ $e-$feng$gsz $h0$i0