Synopsis
In a modern programming environment such as MATLAB® it is possible, through simple commands, to perform advanced calculations on a personal computer, To use this powerful tool, students do not need to understand algorithmic details, but they do need a familiarity with numerical methods and the properties of algorithms. This text, for an introductory course in scientific computation at an advanced undergraduate level, is a revision and translation of a Swedish work by Eldén and Wittmeyer-Koch. It offers an introduction to basic ideas in numerical analysis including classical algorithms for solutions of nonlinear equations and linear systems of algebraic equations as well as ordinary differential equations plus methods for error analysis, interpolation, integration and approximation. Moreover, the text covers important applications in science and engineering such as floating point computer arithmetic and standard functions, splines, finite elements and discrete cosine transform. The authors focus on simplicity and readability in order to help students prepare for more complex mathematical software; they also offer useful materials on their personal Web site homepages. Useful end of chapter questions on theory and computer exercises make this a valuable tool for students as well as professionals
"synopsis" may belong to another edition of this title.
Synopsis
This book is a translation and revision of an earlier textbook in Swedish by the first two authors. It is intended as a textbook for an introductory course in scientific computation at an advanced undergraduate level. In a modern programming environment, such as MATLAB, it is possible by means of simple commands to perform advanced calculations on a personal computer. In order to use such a powerful tool efficiently it is necessary to have a good knowledge of numerical methods and algorithms and to know about their properties. The book describes and analyses numerical methods for error analysis, differentiation, integration, interpolation and approximation, and the solution of non-linear equations, linear systems of algebraic equations and systems of ordinary differential equations. Principles and algorithms are illustrated by examples in MATLAB. At the end of each chapter, questions on theory and computer exercises are given. Some of the MATLAB codes and supplementary material are available from the books web page.
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