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9780486498508

Introduction to Non-Euclidean Geometry

by
  • ISBN13:

    9780486498508

  • ISBN10:

    0486498506

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2012-10-17
  • Publisher: Dover Publications

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Summary

One of the first college-level texts for elementary courses in non-Euclidean geometry, this volume is geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensive appendixes offer background information on Euclidean geometry, and numerous exercises appear throughout the text. 1945 edition.

Table of Contents

I. The Foundation of Euclidean Geometry
II. The Fifth Postulate
III. The Discovery of Non-Euclidean Geometry
IV. Hyperbolic Plane Geometry
V. Hyperbolic Plane Trigonometry
VI. Applications of Calculus to the Solutions of Some Problems in Hyperbolic Geometry
VII. Elliptic Plane Geometry and Trigonometry
VIII. The Consistency of the Non-Euclidean Geometries
Appendix
I. The Foundation of Euclidean Geometry
II. Circular and Hyperbolic Functions
III. The Theory of Orthogonal Circles and Allied Topics
IV. The Elements of Inversion
Index

Supplemental Materials

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