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Ideas of Space: Euclidean, Non-Euclidean, and Relativistic

Jeremy Gray
Publisher: 
Oxford University Press
Publication Date: 
1989
Number of Pages: 
256
Format: 
Hardcover
Edition: 
2
Price: 
164.99
ISBN: 
978-0198539353
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

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PART I 
1. Early Geometry 
2. Euclidean Geometry and the Parallel Postulate 
3. Investigations by Islamic Mathematicians 
PART II 
4. Saccheri and his Western Predecessors 
5. J.H. Lambert's Work 
6. Legendre's Work 
7. Gauss' Contribution 
8. Trigonometry 
9. The First New Geometries 
10. The Discoveries of Lobachevskii and Bolyai 
11. Curves and Surfaces 
12. Riemann on the Foundations of Geometry 
13. Beltrami's Ideas 
14. New Models and Old Arguments 
15. Resume 
PART III 
16. Non-Euclidean Mechanics 
17. The Question of Absolute Space 
18. Space, Time, and Space-Time 
19. Paradoxes of Special Relativity 
20. Gravitation and Non-Euclidean Geometry 
21. Speculations 
22. Some Last Thoughts 

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