Mathematical Methods for Physicists: A Comprehensive Guide (Solutions on Selected Problems)

• Chapter 1: Mathematical Preliminaries
• 1.1 Infinite Series
• 1.2 Series of Functions
• 1.3 Binomial Theorem
• 1.4 Mathematical Induction
• 1.5 Operations on Series Expansion of Functions
• 1.6 Some Important Series
• 1.7 Vectors
• 1.8 Complex Numbers and Functions
• 1.9 Derivatives and Extrema
• 1.10 Evaluation of Integrals
• 1.11 Dirac Delta Function
• Chapter 2: Determinants and Matrices
• Chapter 3: Vector Analysis
• Chapter 4: Tensors and Differential Forms
• Chapter 5: Vector Spaces
• Chapter 6: Eigenvalue Problems
• Chapter 7: Ordinary Differential Equations
• Chapter 8: Sturm-Liouville Theory
• Chapter 9: Partial Differential Equation
• Chapter 10: Green's Functions
• Chapter 11: Commplex Variable Theory
• Chapter 12: Further Topics in Analysis
• Chapter 13: Gamma Function
• Chapter 14: Bessel Functions
• Chapter 15: Legendre Functions
• Chapter 16: Angular Momentum
• Chapter 17: Group Theory
• Chapter 18: More Special Function
• Chapter 19: Fourier Series
• Chapter 20: Integral TransformIn
• Chapter 21: Integral Equations
• Chapter 22: Calculus of Variations
• Chapter 23: Probability and Statistics