MaThEmAtIcS

 E-book for Mathematical Physics to download

Author : Sadri Hassani

Contents :

0 Mathematical Preliminaries

I Finite-Dimensional Vector Spaces

1 Vectors and Transformations

2 Operator Algebra

3 Matrices: Operator Representations

4 Spectral Decomposition

II Infinite-Dimensional Vector Spaces

5 Hilbert Spaces

6 Generalized Functions

7 Classical Orthogonal Polynomials

8 Fourier Analysis
III Complex Analysis
9 Complex Calculus
10 Calculus of Residues
11 Complex Analysis: Advanced Topics
IV Differential Equations
12 Separation of Variables in Spherical Coordinates
13 Second-Order Linear Differential Equations
14 Complex Analysis of SOLDEs
15 Integral Transforms and Differential Equations
V Operators on Hilbert Spaces
16 An Introduction to Operator Theory
17 Integral Equations
18 Sturm-Liouville Systems: Formalism
19 Sturm-Lionville Systems: Examples
VI Green's Functions

20 Green's Functions in One Dimension
21 Multidimensional Green's Functions: Formalism
22 Multidimensional Green's Functions: Applications
VII Groups and Manifolds
23 Group Theory
24 Group Representation Theory
25 Algebra of Tensors
26 Analysis of Tensors
VIII Lie Groups and Their Applications

27 Lie Groups and Lie Algebras
28 Differential Geometry
29 Lie Groups and Differential Equations
30 Calculus of Variations, Symmetries,and Conservation Laws

Download link : Mathematical Physics - A Modern Introduction To It's Foundations