A Physicist's Introduction to Algebraic Structures: Vector Spaces, Groups, Topological spaces and more
PDF
 eBook:A Physicist's Introduction to Algebraic Structures: Vector Spaces, Groups, Topological spaces and more
 Author:Palash B. Pal
 Edition:
 Categories:
 Data:July 11, 2019
 ISBN:1108492207
 ISBN13:9781108492201
 Language:English
 Pages:712 pages
 Format:PDF

Content
1. Rules of Logic
2. Sets and Functions
3. Algebraic Structures
B VECTOR SPACES
4. Basics
5. Operators on Vector Spaces
6. Infinite Dimensional Vector Spaces
C GROUP THEORY
7. General Properties of Groups
8. Finite Groups
9. Representation of Finite Groups
10. Symmetries of Regular Geometrical Objects
11. Countably Infinite Groups
12. General Properties of Lie Groups
13. Rotations and Translations
14. Unitary Groups and Their Representations
15. Orthogonal Groups and Their Representations
16. Parameter Space of Lie Groups
17. Representations of the Lorentz Group
18. Roots and Weights
19. Some Other Groups and Algebras
D TOPOLOGY
20. Continuity of Functions
21. Topological Spaces
22. Homotopy Theory
23. Homology
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