Introduction to Non-Euclidean Geometry

Harold E. Wolfe

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ISBN 10: 0486498506 ISBN 13: 9780486498508

Published by Dover Publications, Inc., 2012

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Introduction to Non-Euclidean Geometry

Publisher

Dover Publications, Inc.

Publication Date

2012

Language

English

ISBN 10

0486498506

ISBN 13

9780486498508

Binding

Paperback

Condition

New

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MATHEMATICS

About this title

Synopsis

One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.
Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion.

About the Author

Harold E. Wolfe was Professor of Mathematics at Indiana University.

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