Authors:
- Presents, through the works of the pioneers, the sophisticated evolution of one of the most important notions of geometry and topology
- Features many illustrations which aid the understanding of the more complicated constructions
- Excepting M. Audin's novel La formule de Stokes, there are no similar books
- Explains many connections between analysis, algebra, number theory, geometry and topology
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2162)
Part of the book sub series: History of Mathematics Subseries (HISTORYMS)
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Table of contents (50 chapters)
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Front Matter
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Algebraic Curves
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Front Matter
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About this book
Reviews
“This book is addressed to any person with a little knowledge of mathematics (such as an undergraduate student) who wants to get an idea of some of the most important concepts that arose in geometry and topology in the last couple of centuries: the author has made a commendable effort to explain all the more advanced concepts almost from scratch (but obviously this was not possible for the last chapter).” (Pietro De Poi, Mathematical Reviews, July, 2017)
“This clear book thoroughly covers the metamorphosis and theoretical significance of the genus by using several historical approaches that incorporate discussions related to analysis, algebraic geometry, number theory, and topology. … The book contains 20 figures and concludes with a list of 200 references and an index, which will help those who wish to delve into deeper studies. Summing Up: Recommended. Upper-division undergraduates and above; faculty and professionals.” (D. P. Turner, Choice, Vol. 54 (9), May, 2017)
Authors and Affiliations
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UFR de Mathématiques, Universitè Lille 1, Villeneuve d’Ascq, France
Patrick Popescu-Pampu
Bibliographic Information
Book Title: What is the Genus?
Authors: Patrick Popescu-Pampu
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-42312-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-42311-1Published: 02 September 2016
eBook ISBN: 978-3-319-42312-8Published: 26 August 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 184
Number of Illustrations: 20 b/w illustrations
Topics: History of Mathematical Sciences, Algebraic Geometry, Algebraic Topology, Mathematics Education