A guide to plane algebraic curves / Keith Kendig.

By:

Kendig, Keith, 1938-

Material type: Text

TextSeries: Dolciani mathematical expositions ; no. 46. | MAA guides ; no. 7.Publication details: [Washington, D.C.] : Mathematical Association of America, ©2011.Description: 1 online resource (xv, 193 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781614442035
1614442037

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Guide to plane algebraic curves.DDC classification:

516.352 23

LOC classification:

QA567 .K46 2011

Online resources:

Click here to access online

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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Includes bibliographical references (pages 185-187) and index.

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.

Print version record.

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.

English.

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