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Non-Euclidean Geometry by Roberto Bonola




Non-Euclidean Geometry - Table of Contents

  • 1. The Attempts to Prove Euclid's Parallel Postulate
  • 2. The Forerunners of Non-Euclidean Geometry
  • 3. The Founders of Non-Euclidean Geometry
  • 4. The Founders of Non-Euclidean Geometry (Cont.)
  • 5. The Later Development of Non-Euclidean Geometry
  • Appendix 1. The Fundamental Principles of Statics and Euclid's Postulate
  • Appendix 2. Clifford's Parallels and Surface (Clifford-Klein Problem)
  • Appendix 3. The Non-Euclidean Parallel Construction
  • Appendix 4. The Independence of Projective Geometry from Euclid's Postulate
  • Appendix 5. The Impossibility of Proving Euclid's Postulate

What You Will Learn in Non-Euclidean Geometry

Non-Euclidean Geometry by Roberto Bonola offers a masterly critical and historical survey of how mathematicians examined Euclid's parallel postulate over two millennia. Accessing this roberto bonola non euclidean geometry pdf provides students and researchers with a clear analysis of hyperbolic and elliptic geometric systems.

The volume examines attempts to prove the fifth postulate by Saccheri, Lambert, and Legendre, leading up to the revolutionary non-Euclidean discoveries of Gauss, Bolyai, and Lobachevsky. Studying this complete non euclidean geometry roberto bonola book illuminates the foundational shift toward modern differential geometry and Riemannian spaces.

Published as an invaluable non euclidean geometry pdf reference, this text includes historical appendices, detailed geometric diagrams, and translations of fundamental original papers.

Book Details & Specifications

Title: Non-Euclidean Geometry by Roberto Bonola
Publisher: Open Court Publishing Company
Year: 1912
Pages: 288
Type: PDF
Language: English
ISBN-10 #: 0486600270
ISBN-13 #: 978-0486600277
License: Public Domain Work
Amazon: Amazon

About the Author: Roberto Bonola

The author Roberto Bonola (1874–1912) was an Italian mathematician and professor of mathematics at the High School of Science in Pavia, highly regarded for his scholarship in the history and foundations of geometry.

As the author of Non-Euclidean Geometry by Roberto Bonola, his clear historical synthesis remains one of the most widely cited and respected introductory works on non-Euclidean geometric theory ever written.


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