MATLAB Engineering Mathematics: MATLAB Practical Guide Series

Author: Su Jinming
Publisher:
Publish Date: 2005-08-01
Features: This book is based on the new version MATLAB 7.0 and comprehensively introduces the contents and usage of toolboxes such as Statistics, Optimization, Numerical Solution of Partial Differential Equations, Splines, and Curve Fitting through numerous examples. The Statistics Toolbox includes probability distributions, hypothesis testing, analysis of variance (ANOVA), regression analysis, nonparametric tests, discriminant analysis, cluster analysis, principal component analysis, experimental design, statistical process control, common statistical graphics, multivariate analysis of variance (MANOVA), decision trees, factor analysis, hidden Markov models, and multidimensional scaling. The Optimization Toolbox covers linear programming, quadratic programming, nonlinear programming, multi-objective programming, 0-1 programming, maximization and minimization, semi-infinite problems, least squares problems and equation solving, as well as methods for solving large-scale optimization problems. The Numerical Solution of Partial Differential Equations Toolbox includes how to solve partial differential equations using the graphical user interface and toolbox functions, common numerical solution problems for partial differential equations, and application models in multiple fields such as structural mechanics (plane stress and plane strain), electrostatics, static magnetism, electromagnetism, heat conduction, and divergence problems. The Splines Toolbox covers B-splines, cubic splines, piecewise polynomial splines, and the graphical user interface for splines. The Curve Fitting Toolbox includes preprocessing, fitting, and post-processing steps for curve fitting. This book is rich in content and examples, making it suitable as a textbook and supplementary material for courses such as multivariate statistical analysis, optimization methods, numerical solution of partial differential equations, and related subjects. It can also be used as a reference for undergraduate and graduate students, as well as researchers in relevant fields.