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A Guide To Plane Algebraic Curves / Keith Kendig

By: Kendig, KeithContributor(s): Kendig, KeithMaterial type: Text

TextPublisher number: ;Donated from NBHMSeries: Dolciani mathematical expositions, no. 46.; MAA guides, no. 7Publication details: Washington, : Mathematical Association of America, ©2011Description: xv, 193p. 24cmISBN: 9789393330130Subject(s): Mathematics | Geometry | Curves, Plane | Curves, Algebraic | Mathematics -- Geometry -- Algebraic | Courbes planes | Courbes algébriquesDDC classification: 516.352 KEN

Contents:

1. A gallery of algebraic curves -- 2. Points at infinity -- 3. From real to complex -- 4. Topology of algebraic curves in P²(C) -- 5. Singularities -- 6. The big three: C, K, S.

Summary: This is an informal and accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry. There is a unifying theme to the book: give curves enough living space and beautiful theorems will follow. This book provides the reader with a solid intuition for the subject, while at the same time keeping the exposition simple and understandable, by introducing abstract concepts with concrete examples and pictures. It can be used as the text for an undergraduate course on plane algebraic curves, or as a companion to algebraic geometry at graduate level. This book is accessible to those with a limited mathematical background. This is because for those outside mathematics there is a growing need for an entrée to algebraic geometry, a need created by the ever-expanding role algebraic geometry is playing in areas ranging from biology to chemistry and robotics to cryptology

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Mathematics Departmental Library	Mathematics Departmental Library	516.352 KEN (Browse shelf(Opens below))	Not For Loan		M382

Total holds: 0

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Previous	516.35 NEW Lectures on introduction to moduli problems and orbit spaces	516.35 POO Rational Points on Varieties	516.35 SES Introduction to the theory of standard monomials	516.352 KEN A Guide To Plane Algebraic Curves	516.352 SHE Modern cryptography and elliptic curves	516.36 CAR Differential Geometry of Curves and Surfaces	516.36 MIS A course of differential geometry and topology	Next

1. A gallery of algebraic curves --
2. Points at infinity --
3. From real to complex --
4. Topology of algebraic curves in P²(C) --
5. Singularities --
6. The big three: C, K, S.

This is an informal and accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry. There is a unifying theme to the book: give curves enough living space and beautiful theorems will follow. This book provides the reader with a solid intuition for the subject, while at the same time keeping the exposition simple and understandable, by introducing abstract concepts with concrete examples and pictures. It can be used as the text for an undergraduate course on plane algebraic curves, or as a companion to algebraic geometry at graduate level. This book is accessible to those with a limited mathematical background. This is because for those outside mathematics there is a growing need for an entrée to algebraic geometry, a need created by the ever-expanding role algebraic geometry is playing in areas ranging from biology to chemistry and robotics to cryptology

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