BS Methods Of Mathematical Physics Book by Abdul Shakoor

Important Note About This Book :

• This Book may be used in a wide variety of ways. It ca be used as the basis for a variety of courses, from short lecture courses on a Specific topic in Methods Of Mathematical Physics-I
• This book is based on lecture notes and the data has been collected from various recommended books and articles

 

Table of Content

Vector Analysis

• Scalar and Vector
• Scalar Product
• Vector Product
• Triple Product
• The Gradient
• The Divergence
• The Curl
• Curl of Vector
• Curl and Divergence
• Stokes’s Theorem
• Green’s Theorem in a Plane
• System of Coordinates
• Cylindrical Coordinates
• Spherical Polar Coordinates

 

Tensor

• Scalar, Vector and Dyadic
• Kronecker Delta
• Symmetric and Anti-symmetric Tensor
• Levi-civita symbol/Permutation symbol/Eplison Tensor
• Fundamental Operation with Tensors

Matrix Algebra

• Matrix
• Jacobi Identity
• Successive Rotation
• Symmetry Properties
• Properties of Matrix
• Matrix Matrices
• Orthogonal Transpose Matrix
• Pauli and Dirac Matrix
• Eigen Vectors and Eigen Values
• Diagonalization of Matrix
• Inertia Matrix

 

Group Theory

• Introduction
• Isomorphism and Homomorphism
• Orthogonal Group (O³)
• Dihedral Group

 

Complex Number

• De Moivre’s formula
• Analytical Function
• Evaluation of Complex Integral
• -Harmonic Functions
• Elementary Function