| Review: |
This book includes all the mathematical methods that undergraduate scientists and engineers are likely to need. Nearly all the mathematical relations are proved and have accompanying examples. There are chapters on: vector analysis; determinants and matrices; group theory; infinite series; functions of complex variables; the gamma function; the Sturm–Liouville theory; Bessel functions; the Legendre function; Fourier series; integral transforms; integral equations; the calculus of variations; nonlinear methods and chaos; and probability. This new edition includes improvements to nearly all of the chapters. There is a new chapter on probability as well as new subsections of differential forms and Mathieu functions. |