This book first introduces the basic content of MATLAB programming, and then systematically introduces the problem solving in various applied mathematics fields, such as calculus based on MATLAB, computer solution of linear algebra, integral transformation and complex variable function, nonlinear equation and optimization, ordinary differential equation and partial differential equation, data interpolation and function approximation, analytical solution and numerical solution of probability theory and mathematical statistics, etc. Some new unconventional methods are also introduced, such as fuzzy logic and fuzzy reasoning, neural network, genetic algorithm, wavelet analysis, rough set and fractional calculus.

This book can be used as a teaching material for ordinary readers to learn and master MATLAB language, as a teaching material or reference book for undergraduates and postgraduates majoring in science and engineering in colleges and universities to learn computer mathematics language, as a reference for scientific and technological workers and teachers to learn and apply MATLAB language to solve practical mathematical problems, and as a manual for readers to inquire about a method of solving mathematical problems.