Saturday, November 13, 2010

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.

Thursday, October 7, 2010

Supplements of my books

Supplements of my books entitled Mathematical Methods in Science and Engineering (2006) and Essentials of Mathematical Methods in Science and Engineering (2008) are available to everybody. Their most up to date versions can be found in my website http://www.metu.edu.tr/~bayin .

In the companion site for our book, Mathematical Methods in Science and Engineering  2006, we present solutions or hints to selected problems. These problems are not always chosen from the book. When they are directly taken from the book, or when they are related to a problem in the book, the corresponding problem number is given. Each problem is stated completely so that the interested reader can attempt to reach the solution before consulting the answers or the hints. It is assumed that the reader is familiar with the contents of the corresponding chapter in the book. Rather than presenting the complete solutions, we usually prefer to discuss the method and guide the reader through the crucial intermediate steps. In this regard, even with the help given, these problems remain challenging exercises, which can generally be assigned by instructors in the given format.