000 02850nam a22004935i 4500
001 978-3-319-42312-8
003 DE-He213
005 20190213151339.0
007 cr nn 008mamaa
008 160826s2016 gw | s |||| 0|eng d
020 _a9783319423128
_9978-3-319-42312-8
024 7 _a10.1007/978-3-319-42312-8
_2doi
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
072 7 _aPBX
_2thema
082 0 4 _a510.9
_223
100 1 _aPopescu-Pampu, Patrick.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aWhat is the Genus?
_h[electronic resource] /
_cby Patrick Popescu-Pampu.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXVII, 184 p. 20 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aHistory of Mathematics Subseries,
_x2193-1771 ;
_v2162
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 _aGeometry, algebraic.
650 0 _aAlgebraic topology.
650 0 _aMathematics.
650 1 4 _aHistory of Mathematical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M23009
650 2 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aMathematics Education.
_0http://scigraph.springernature.com/things/product-market-codes/O25000
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319423111
776 0 8 _iPrinted edition:
_z9783319423135
830 0 _aHistory of Mathematics Subseries,
_x2193-1771 ;
_v2162
856 4 0 _uhttps://doi.org/10.1007/978-3-319-42312-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10358
_d10358