Supplements of Mathematical Methods in Science and Engineering

Supplements of the Mathematical Methods in Science and Engineering (2006) consists of solutions and hints to selected problems, some of which are from the book. You can also find extensive sections devoted to additional features of the methods introduced in the book:
(http://www.metu.edu.tr/~bayin):
Chapter 10:

• Cartesian tensors and the theory of elasticity
• Curvature
• Interpretation of the metric tensor

Chapter 13:

• Integral representation of Bessel functions

Chapter 14:

• Caputo derivative
• Riesz derivative

Chapter 15:

• Method of steepest descent
• Pade approximants

Chapter 16:

• Discrete Fourier transforms
• Fast Fourier transforms

Chapter 17:

• Optimum control theory

Chapter 19:

• Perturbation theory

Chapter 20:

• Anomalous diffusion
• Path integrals over Levy paths.