Coordinates

Wolfram Neutsch

Published by De Gruyter 1996

Coordinates

Wolfram Neutsch

https://doi.org/10.1515/9783110866353

Contents

I-XIV Requires Authentication Unlicensed Licensed Download PDF	I
Volume 1: Theory
0. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
A. Foundations.
1. Historical development of the coordinate concept Requires Authentication Unlicensed Licensed Download PDF	9
2. Notation and conventions Requires Authentication Unlicensed Licensed Download PDF	38
B. Geometry.
3. Manifolds Requires Authentication Unlicensed Licensed Download PDF	70
4. Riemannian spaces Requires Authentication Unlicensed Licensed Download PDF	113
5. Applications to physics Requires Authentication Unlicensed Licensed Download PDF	160
6. Complex analysis Requires Authentication Unlicensed Licensed Download PDF	190
7. Projective Geometry Requires Authentication Unlicensed Licensed Download PDF	246
C. Rotations.
8. Orthogonal groups Requires Authentication Unlicensed Licensed Download PDF	295
9. Linear transformations of complex spaces Requires Authentication Unlicensed Licensed Download PDF	318
10. Quaternions Requires Authentication Unlicensed Licensed Download PDF	353
11. Octaves Requires Authentication Unlicensed Licensed Download PDF	379
12. Hopf mappings Requires Authentication Unlicensed Licensed Download PDF	429
13. Spinors Requires Authentication Unlicensed Licensed Download PDF	452
14. Lorentz transformations Requires Authentication Unlicensed Licensed Download PDF	492
15. Coxeter groups Requires Authentication Unlicensed Licensed Download PDF	528
16. Invariant rings of finite Weyl groups Requires Authentication Unlicensed Licensed Download PDF	574
17. Basic invariants Requires Authentication Unlicensed Licensed Download PDF	605
Volume 2: Applications
E. Lattices.
18. Elliptic functions and modular forms Requires Authentication Unlicensed Licensed Download PDF	637
19. Euclidean lattices Requires Authentication Unlicensed Licensed Download PDF	688
20. Linear codes Requires Authentication Unlicensed Licensed Download PDF	726
21. The Leech lattice Requires Authentication Unlicensed Licensed Download PDF	781
F. Spheres.
22. Harmonic functions Requires Authentication Unlicensed Licensed Download PDF	837
23. Spherical surface functions Requires Authentication Unlicensed Licensed Download PDF	866
24. Lattice integration Requires Authentication Unlicensed Licensed Download PDF	913
25. Spherical designs Requires Authentication Unlicensed Licensed Download PDF	945
G. Coordinate systems.
26. Linear and reducible coordinates Requires Authentication Unlicensed Licensed Download PDF	985
27. Three-dimensional Stackel coordinates Requires Authentication Unlicensed Licensed Download PDF	1006
28. Confocal Coordinates Requires Authentication Unlicensed Licensed Download PDF	1037
29. Gauß-Krüger Coordinates Requires Authentication Unlicensed Licensed Download PDF	1068
30. Coordinates for special applications Requires Authentication Unlicensed Licensed Download PDF	1104
H. Tables.
Calculation and organization of the tables Requires Authentication Unlicensed Licensed Download PDF	1132
Coordinates in R2 Requires Authentication Unlicensed Licensed Download PDF	1136
Coordinates in R3 Requires Authentication Unlicensed Licensed Download PDF	1171
Coordinates in R4 Requires Authentication Unlicensed Licensed Download PDF	1265
Appendix. References Requires Authentication Unlicensed Licensed Download PDF	1297
Appendix. Index Requires Authentication Unlicensed Licensed Download PDF	1322

Language: English
Publisher: De Gruyter
Edition: Reprint 2010
Pages
- Front matter: 13
- Main content: 1365
Keywords: Koordinaten

eBook

Published: March 1, 2011
ISBN: 9783110866353

Hardcover

Published: October 10, 1996
ISBN: 9783110148527