Non-Euclidean Geometry: A Critical and Historical Study of Its DevelopmentCourier Corporation, 1 Ιαν 1955 - 389 σελίδες This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important. |
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... GEOMETRY WITH A SUPPLEMENT CONTAINING " THE THEORY OF PARALLELS " BY NICHOLAS LOBACHEVSKI AND " THE SCIENCE OF ABSOLUTE SPACE " BY JOHN BOLYAI HANDBOOK OF MATHEMATICAL FUNCTIONS , Milton Abramowitz and Irene A. Front Cover.
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... Space " 233 S 7. Indirect Proof of the Independence of Pro- jective Geometry from the Fifth Postulate S 8. BELTRAMI's Direct Proof of this Independence S 9. KLEIN'S Direct Proof of this Independence Appendix V. The Impossibility of ...
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Περιεχόμενα
The Attempts to prove Euclids Parallel Postulate | 1 |
Chapter II | 22 |
S 1822 JOHANN HEINRICH LAMBERT 17281777 | 44 |
S 2728 ADRIEN MARIE LEGENDRE 17521833 | 60 |
Chapter IV | 84 |
Chapter V | 128 |
Principles of RIEMANNs Solid Geometry | 151 |
Representation of RIEMANNs Elliptic Geometry | 175 |
CLIFFORDS Parallels and Surface Sketch of CLIFFORD | 200 |
Appendix III | 216 |
Appendix IV | 227 |
Complete Projective Space | 233 |
S 27 The System of Circles passing through | 239 |
129 | 265 |
The Science of Absolute Space | 271 |
The Theory of Parallels | 273 |
Άλλες εκδόσεις - Προβολή όλων
Non-Euclidean Geometry: A Critical and Historical Study of Its Development Roberto Bonola Προβολή αποσπασμάτων - 1955 |