**Mathematical Methods for Physics and Engineering Third Edition by K. F. Riley, M. P. Hobson and S. J. Bence.**

## Contents of Mathematical Methods for Physics and Engineering

- Preliminary algebra
- Preliminary calculus
- Complex numbers and hyperbolic functions
- Series and limits
- Partial differentiation
- Multiple integrals
- Vector algebra
- Matrices and vector spaces
- Normal modes
- Vector calculus
- Line, surface and volume integrals
- Fourier series
- Integral transforms
- First-order ordinary differential equations
- Higher-order ordinary differential equations
- Series solutions of ordinary differential equations
- Eigenfunction methods for differential equations
- Special functions
- Quantum operators
- Partial differential equations: general and particular solutions
- Partial differential equations: separation of variables and other methods
- Calculus of variations
- Integral equations
- Complex variables
- Applications of complex variables
- Tensors
- Numerical methods
- Group theory
- Representation theory
- Probability
- Statistics

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