Coordinates / Wolfram Neutsch.

Format:

Book

Author/Creator:

Neutsch, W., author.

Language:

English

Subjects (All):

Coordinates.

Mathematics.

Physical Description:

1 online resource (1383 p.)

Edition:

Reprint 2010

Place of Publication:

Berlin ; Boston : De Gruyter, [2011]

Language Note:

English

Summary:

Elucidates the mathematical foundation of coordinate systems and their practical application to different branches of mathematics and natural and engineering sciences. Contains a thorough discussion of theory, and details applications taken from the fields of physics and geodesy, illustrated with examples. Treats related problems including previously unpublished numerical integration methods. Includes an extensive formulary consisting of some 40 tables on different types of coordinates, offering directly applicable information on important features in a unified notational system. For practitioners and students of science and engineering. Annotation copyright by Book News, Inc., Portland, OR

Contents:

Frontmatter

Volume 1: Theory

0. Introduction

A. Foundations.

1. Historical development of the coordinate concept

2. Notation and conventions

B. Geometry.

3. Manifolds

4. Riemannian spaces

5. Applications to physics

6. Complex analysis

7. Projective Geometry

C. Rotations.

8. Orthogonal groups

9. Linear transformations of complex spaces

10. Quaternions

11. Octaves

12. Hopf mappings

13. Spinors

14. Lorentz transformations

15. Coxeter groups

16. Invariant rings of finite Weyl groups

17. Basic invariants

Volume 2: Applications

E. Lattices.

18. Elliptic functions and modular forms

19. Euclidean lattices

20. Linear codes

21. The Leech lattice

F. Spheres.

22. Harmonic functions

23. Spherical surface functions

24. Lattice integration

25. Spherical designs

G. Coordinate systems.

26. Linear and reducible coordinates

27. Three-dimensional Stackel coordinates

28. Confocal Coordinates

29. Gauß-Krüger Coordinates

30. Coordinates for special applications

H. Tables.

Calculation and organization of the tables

Coordinates in R2

Coordinates in R3

Coordinates in R4

Appendix. References

Appendix. Index

Notes:

Description based upon print version of record.

Includes bibliographical references (pages [1297]-1321) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110866353

3110866358

OCLC:

922947322