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＜電子ブック＞
What is the Genus? / by Patrick Popescu-Pampu
(History of Mathematics Subseries. ISSN:26257157 ; 2162)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XVII, 184 p. 20 illus : online resource
著者標目	*Popescu-Pampu, Patrick author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:History LCSH:Algebraic geometry LCSH:Algebraic topology LCSH:Mathematics—Study and teaching  FREE:History of Mathematical Sciences FREE:Algebraic Geometry FREE:Algebraic Topology FREE:Mathematics Education
一般注記	Exploring 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 HTTP:URL=https://doi.org/10.1007/978-3-319-42312-8

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