Numerical Analysis: Mathematics of Scientific Computing

David Kincaid;Ward Cheney

ISBN: 9780821852071 | Year: 2010 | Paperback | Pages: 788 | Language : English

Book Size: 180 x 240 mm | Territorial Rights: Restricted| Series Indian Editions of AMS Titles

Price: 2875.00

About the Book

This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages.

Contributors (Author(s), Editor(s), Translator(s), Illustrator(s) etc.)

University of Texas at Austin, Texas, USA

Table of Content

Mathematical Preliminaries
Computer Arithmetic
Solution of Nonlinear Equations
Solving Systems of Linear Equations
Selected Topics in Numerical Linear Algebra
Approximating Functions
Numerical Differentiation and Integration
Numerical Solution of Ordinary Differential Equations
Numerical Solution of Partial Differential Equations
Linear Programming and Related Topics
Optimization
Appendix A: An Overview of Mathematical Software
Bibliography
Index

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