Mathematical Methods in the Physical Sciences

This is my notes on my (re-)study of this famous book.

The book I am using is the 2nd Edition, published 1983.

• /Chapter 1: Infinite Series, Power Series
• /Chapter 2: Complex Numbers
• /Chapter 3: Linear Equations; Vectors, Matrices, and Determinants
• /Chapter 4: Partial Differentiation
• /Chapter 5: Multiple Integrals; Applications of Integration
• /Chapter 6: Vector Analysis
• /Chapter 7: Fourier Series
• /Chapter 8: Ordinary Differential Equations
• /Chapter 9: Calculus of Variations
• /Chapter 10: Coordinate Transformations; Tensor Analysis
• /Chapter 11: Gamma, Beta, and Error Functions; Asymptotic Series; Stirling's Formula; Elliptic Integrals and Functions
• /Chapter 12: Series Solutions of Differential Equations; Legendre Polynomials; Bessel Functions; Sets of Orthogonal Functions
• /Chapter 13: Partial Differential Equations
• /Chapter 14: Functions of a Complex Variable
• /Chapter 15: Integral Transforms
• /Chapter 16: Probability