000			01778nam a22002655i 4500
001			137707
003			ISI Library, Kolkata
005			20170614124456.0
008			160804s2016 nyu 000 0 eng
020			_a9783319423111
040			_aISI Library
082	0	4	_a514 _223 _bP826
100	1		_aPopescu-Pampu, Patrick, _eauthor
245	1	0	_aWhat is the genus? / _cPatrick Popescu-Pampu.
260			_aSwitzerland : _bSpringer, _c2016.
300			_axvii, 184 pages : _billustrations ; _c24 cm.
490	0		_aLecture notes in mathematics ; _v2162.
490	0		_aHistory of mathematics subseries
504			_aIncludes bibliographical references and index.
505	0		_aPart I Algebraic curves.- Part II Algebraic surfaces.- Part III Higher dimensions.- Epilogue.- Bibliography.- 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.
942			_2ddc _cBK
999			_c421631 _d421631