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Non-Euclidean Geometry: A Critical and Historical Study of its Development by Roberto Bonola
About this book :- This is an important book that explains how geometry changed after people questioned Euclid’s parallel postulate. It tells the history of many mathematicians who worked on new kinds of geometry, like Lobachevsky and Gauss. It talks about many mathematicians who helped create new kinds of geometry. The book includes original writings from early pioneers and helps readers understand how non-Euclidean geometry grew into a major part of math. The book also shares some original papers from these early mathematicians. It helps readers learn how non-Euclidean geometry became an important part of math.
Book Detail :- Title: Non-Euclidean Geometry: A Critical and Historical Study of its Development 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 Author :- The author Roberto Bonola was an Italian mathematician and historian known for his work on non-Euclidean geometry. He studied at the University of Bologna and taught at several universities in Italy. He wrote a famous book about non-Euclidean geometry, which talks about new kinds of geometry that are different from the usual kind.
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Book Contents :- 1. pageg 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. Sketch of CLIFFORD- KLEIN S Problem. Appendix 3. The Non-Euclidean Parallel Construction and other Allied Constructions. Appendix 4. The Independence of Projective Geometry from Euclid s Postulate. Appendix 5. The Impossibility of proving Euclid s Postulate. An Elementary Demonstration of this Impossibility founded upon the Properties of the System of Circles orthogonal to a Fixed Circle.
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