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What is the Genus?

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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.

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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.

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Book Format

Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Softcover]
9783319423111
Publisher
Springer
Year
2016
Pages
XVII, 184 p.
Series Title
History of Mathematics Subseries
Language
English
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