Perspectives on projective geometry : a guided tour through real and complex geometry /
"Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This b...
Saved in:
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [Germany] ; New York :
Springer,
c2011.
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| Subjects: |
MARC
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| 003 | OCoLC | ||
| 005 | 20130304033744.0 | ||
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| 020 | |a 3642172857 (acid-free paper) | ||
| 020 | |z 9783642172861 (e-ISBN) | ||
| 020 | |z 3642172865 (e-ISBN) | ||
| 035 | |a (OCoLC)690089198 | ||
| 035 | 0 | 0 | |a ocn690089198 |
| 040 | |a BTCTA |b eng |c BTCTA |d CDX |d YDXCP |d BWX |d IXA |d OUP |d OHX |d HEBIS |d IQU |d MOU |d GTA |d TXM | ||
| 042 | |a pcc | ||
| 049 | |a TXMM | ||
| 050 | 4 | |a QA471 |b .R53 2011 | |
| 082 | 0 | 4 | |a 516.5 |2 22 |
| 092 | |a 516.5 |b R41p | ||
| 100 | 1 | |a Richter-Gebert, Jürgen, |d 1963- | |
| 245 | 1 | 0 | |a Perspectives on projective geometry : |b a guided tour through real and complex geometry / |c Jürgen Richter-Gebert. |
| 246 | 3 | 0 | |a Projective geometry |
| 246 | 3 | 0 | |a Real and complex geometry |
| 260 | |a Heidelberg [Germany] ; |a New York : |b Springer, |c c2011. | ||
| 300 | |a xxii, 571 p. : |b ill. (some col.) ; |c 25 cm. | ||
| 520 | |a "Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications."--Back cover. | ||
| 504 | |a Includes bibliographical references (p. 557-562) and index. | ||
| 505 | 0 | |a 1. Pappo's theorem : nine proofs and three variations -- 2. Projective planes -- 3. Homogeneous coordinates -- 4. Lines and cross-ratios --5. Calculating with points on lines -- 6. Determinates -- 7. More on bracket algebra -- 8. Quadrilateral sets and liftings -- 9. Conics and their duals -- 10. Conics and perspectivity -- 11. Calculating with conics -- 12. Projective d-space -- 13. Diagram techniques -- 14. Working with diagrams -- 15. Configurations, theorems, and bracket expressions -- 16. Complex numbers : a primer -- 17. The complex projective line -- 18. Euclidean geometry -- 19. Euclidean structures from a projective perspective -- 20. Cayley-Klein geometries -- 21. Measurements and transformations -- 22. Cayley-Klein geometries at work -- 23. Circles and cycles -- 24. Non-Euclidean geometry : a historical interlude -- 25. Hyperbolic geometry -- 26. Selected topics in hyperbolic geometry -- 27. What we did not touch. | |
| 650 | 0 | |a Geometry, Projective. | |
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Algorithms. | |
| 650 | 0 | |a Discrete groups. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | 7 | |a Projektive Geometrie |0 (DE-603)085132241 |0 (DE-588c)4047436-7 |2 swd |
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| 952 | f | f | |p Circulating |a Middle Tennessee State University |b Main |c James E. Walker Library |d Main Collection - Walker Library - 3rd Floor |t 0 |e 516.5 R41p |h Library of Congress classification |i Book |m 33082017205310 |n 1 |
