Introducción a la teoría de representaciones de grupos finitos - Rafael Villarroel Flores

Introducción a la teoría de representaciones de grupos finitos - Rafael Villarroel Flores

1.- Álgebras
2.- Álgebras de grupo y sus módulos
3.- Carácteres
4.- Carácteres y módulos inducidos
5.- Teoremas de Burnside y Frobenius
6.- Representaciones del grupo simétrico

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Elements of Real Analysis - R. Bartle

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Functional Analysis - Rudin, Walter

Chapter 1 Topological Vector Spaces
Chapter 2 Completeness
Chapter 3 Convexity
Chapter 4 Duality in Banach Spaces
Chapter 5 Some Applications
Chapter 6 Test Functions and Distributions
Chapter 7 Fourier Transforms
Chapter 8 Applications to Differential Equations
Chapter 9 Tauberian Theory
Chapter 10 Banach Algebras
Chapter 11 Commutative Banach Algebras
Chapter 12Bounded Operators on a Hilbert Space
Chapter 13 Unbounded Operators

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Galois Theory - E. Artin

I.- LINEAR ALGEBRA
II.- FIELD THEORY
III.- APPLICATIONS

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Introducing Einstein's relativity - R. A. d'lnverno.

Contents

Overview
1. The organization of the book
Part A. Special Relativity
2. The k-calculus
3. The key attribues of special relativity
4. Te elements of relativistic mechanics
Part B. The Formalism of Tensors
5. Tensor algebra
6. Tensor calculus
7. Integration, variation, and symmetry

Part C. General Relativity
8. Special relativity revisited
9. The principles of general relativity
10. The field equations of general relativity
11. General relativity from a variational principle
12. The energy-momentum tensor
13. The structure of the field equations
14. The Schwarzschild solution
15. Exper'imental tests of general relativity

Part D. Black Holes
16. Non-rotating black holes
17. Maximal extension and conforma, compactification
18. Charged black holes
19. Rotating black holes

Part E. Gravitational Waves
20. Plane gravitational waves
21. Radiation from an isolated source

Part F. Cosmology
22. Relativistic cosmology
23. Cosmological models


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