Introduction to Numerical Computation

Author: Bai Fengshan
Publisher:
Publish Date: 2004-07-01
Features: This book primarily includes the following content: an introduction to MATLAB, basic concepts of numerical computation, and discusses numerical methods for solving problems such as systems of linear equations, function approximation, numerical integration, ordinary differential equations, nonlinear equations, matrix eigenvalues, etc. It also introduces numerical methods for optimization and partial differential equations. In addition to the main text, the book contains numerous supplementary reading materials, which can be used by students with extra time for deeper study or as part of the teaching content. Each chapter includes a "Notes" section that provides further reading materials and discusses developments in related disciplines; the "Exercises" are categorized into three types: "Thought Questions" to help understand basic concepts, "Exercises" to reinforce fundamental theories, and "Experimental Problems" to strengthen algorithmic understanding through computation. The supplementary reading materials include: the "Software Reviews" section introduces relevant mathematical software; the "Interactive Experiments" section uses GUI interfaces and demonstrations to illustrate algorithms; the "Application Examples" section presents practical problems; and the "Extended Reading" section reviews important algorithms and key figures. The book also comes with a CD-ROM containing MATLAB programs for easy use by instructors and students. This book can be used as a textbook for undergraduate students in mathematics and applied mathematics, information and computational science, as well as for graduate students in engineering disciplines.