Suitable for a first year graduate course, this textbook unites the applications of numerical mathematics and scientific computing to the practice of chemical engineering. Written in a pedagogic style, the book describes basic linear and nonlinear algebric systems all the way through to stochastic methods, Bayesian statistics and parameter estimation. These subjects are developed at a level of mathematics suitable for graduate engineering study without the exhaustive level of the theoretical mathematical detail. The implementation of numerical methods in MATLAB is integrated within each chapter and numerous examples in chemical engineering are provided, with a library of corresponding MATLAB programs. This book will provide the graduate student with essential tools required by industry and research alike. Supplementary material includes solutions to homework problems set in the text, MATLAB programs and tutorial, lecture slides, and complicated derivations for the more advanced reader. These are available online at www.cambridge.org/9780521859714.
Author(s): Kenneth J. Beers
Edition: 1
Publisher: Cambridge University Press
Year: 2006
Language: English
Pages: 488
Frontmatter......Page 1
Contents......Page 5
Preface......Page 9
1 - Linear algebra......Page 13
2 - Nonlinear algebraic systems......Page 73
3 - Matrix eigenvalue analysis......Page 116
4 - Initial value problems......Page 166
5 - Numerical optimization......Page 224
6 - Boundary value problems......Page 270
7 - Probability theory and stochastic simulation......Page 329
8 - Bayesian statistics and parameter estimation......Page 384
9 - Fourier analysis......Page 448
References......Page 473
Index......Page 476
