Algebraic curves and Riemann surfaces for undergraduates : the theory of the donut / Anil Nerode, Noam Greenberg.

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subjec...

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Bibliographic Details
Main Authors:	Nerode, Anil, 1932- (Author), Greenberg, Noam (Author)
Format:	eBook
Language:	English
Published:	Cham, Switzerland : Springer, [2022]
Subjects:	Curves, Algebraic. Geometry, Algebraic. Riemann surfaces. Curvas algebraicas Geometría algebraica Superficies riemannianas Curves, Algebraic Geometry, Algebraic Riemann surfaces Corbes algebraiques. Geometria algebraica. Superfícies de Riemann. Llibres electrònics.
Online Access:	Click for online access

Table of Contents:

1 Introduction
Part I Algebraic curves
2 Algebra
3 Affine space
4 Projective space
5 Tangents
6 Bezouts theorem
7 The elliptic group
Part II Riemann Surfaces
8 Quasi-Euclidean spaces
9 Connectedness, smooth and simple
10 Path integrals
11 Complex differentiation
12 Riemann surfaces
Part III Curves and surfaces
13 Curves are surfaces
14 Elliptic functions and the isomorphism theorem
15 Puiseux theory
16 A brief history of elliptic functions.

Algebraic curves and Riemann surfaces for undergraduates : the theory of the donut / Anil Nerode, Noam Greenberg.

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