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What is the genus?[electronic resour...

Popescu-Pampu, Patrick.

What is the genus?[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	514
書名/作者:	What is the genus?/ by Patrick Popescu-Pampu.
作者:	Popescu-Pampu, Patrick.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xvii, 184 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Topology.
標題:	Mathematics - History.
標題:	Mathematics.
標題:	History of Mathematical Sciences.
標題:	Algebraic Geometry.
標題:	Algebraic Topology.
標題:	Mathematics Education.
ISBN:	9783319423128
ISBN:	9783319423111
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-42312-8

What is the genus?[electronic resource] /
Popescu-Pampu, Patrick.

What is the genus?[electronic resource] /by Patrick Popescu-Pampu. - Cham :Springer International Publishing :2016. - xvii, 184 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21620075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783319423128

Standard No.: 10.1007/978-3-319-42312-8doiSubjects--Topical Terms:

405711
Topology.

LC Class. No.: QA611

Dewey Class. No.: 514

What is the genus?[electronic resource] /
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520 $a 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.
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