MATLAB Solutions for Advanced Applied Mathematics Problems

Application Background

This book is designed to help general readers learn and master the MATLAB programming language. It can be used as a textbook or reference material for undergraduate and graduate students in various science and engineering disciplines studying computational mathematics. Technical professionals and educators can reference this book when applying MATLAB to solve practical mathematical problems. Additionally, it serves as a handy manual for looking up specific mathematical problem-solving methodologies.

Key Technologies

The book first introduces fundamental MATLAB programming concepts, including matrix operations, function handling, and script development. Building upon this foundation, it systematically presents problem-solving techniques across various applied mathematics domains. The content covers computer-based solutions using MATLAB for calculus problems (differentiation and integration implementations), linear algebra operations (matrix computations and equation solving), integral transforms and complex analysis, nonlinear equations and optimization algorithms (fzero, fsolve, and optimization toolbox applications), ordinary and partial differential equations (ODE/PDE solver implementations), data interpolation and function approximation methods, along with analytical and numerical solutions for probability and statistics problems. Furthermore, the book introduces advanced non-traditional approaches such as fuzzy logic and inference systems, neural network implementations, genetic algorithms, wavelet analysis, rough set theory, and fractional calculus techniques. Through practical code examples and algorithm explanations, readers will gain deep understanding of MATLAB's capabilities and learn to apply them effectively to real-world problem solving.