
- 274 pages
- English
- PDF
- Available on iOS & Android
Introduction to Non-Euclidean Geometry
About this book
An Introduction to Non-Euclidean Geometry covers some introductory topics related to non-Euclidian geometry, including hyperbolic and elliptic geometries.This book is organized into three parts encompassing eight chapters. The first part provides mathematical proofs of Euclid's fifth postulate concerning the extent of a straight line and the theory of parallels. The second part describes some problems in hyperbolic geometry, such as cases of parallels with and without a common perpendicular. This part also deals with horocycles and triangle relations. The third part examines single and double elliptic geometries. This book will be of great value to mathematics, liberal arts, and philosophy major students.
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Information
Table of contents
- Front Cover
- An Introduction to Non-Euclidean Geometry
- Copyright Page
- Table of Contents
- Dedication
- Preface
- PART I: HISTORICAL INTRODUCTION
- PART II: HYPERBOLIC GEOMETRY
- PART III: ELLIPTIC GEOMETRY
- Appendix: A Summary from Euclid's Elements
- Bibliography
- Answers to Selected Exercises
- Index
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