Prentice Hall
Engineering
ISBN-10: 0130138517
ISBN-13: 9780130138514
Publisher: Prentice Hall
Copyright: 1999
Format: Paper; 608 pp
Published: 04/16/1999
Suggested retail price: $92.00
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For junior/senior/graduate-level courses in Numerical Methods in departments of Chemical and Biochemical Engineering.
Designed for multi-level use, this text explores in detail the derivation of a variety of numerical methods and their application to the solution of engineering problems—with special attention to problems in chemical engineering. It uses MATLAB® extensively throughout (for the WINDOWS, Macintosh, and Unix environments)—but focuses clearly on teaching students numerical methods and problem solving skills. It is not a MATLAB manual for simple number-crunching. An accompanying CD-ROM contains the MATLAB scripts used throughout the text.
- A variety of numerical methods and their application to the solution of engineering problems—Provides clear, concise development of linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, differentiation and integration, ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis.
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Helps students develop a full range of problem-solving skills that they can choose from in tackling the multi-faceted problems they'll encounter in the real world.
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- Flexible, multi-use organization, with advanced topics clearly marked—Covers both basic and advanced numerical methods in each chapter, with the more advanced techniques covered last whenever feasible. Asterisks mark (in the Contents) those sections that may be omitted in an undergraduate course.
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Allows the text to be used with a variety of student levels—a one-semester, graduate-level course in applied numerical methods would cover all the material in the book; while a junior/senior-level course would cover the more basic methods in each chapter.
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- Systematic development of the calculus of finite differences and its application to the integration of differential equations.
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Enhances the students' understandings of the numerical interpretation of ordinary and partial differential equations.
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- Detailed discussion of nonlinear regression analysis—Provides powerful programs for implementing multivariable nonlinear regression and statistical analysis of the results.
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Helps students understand the basic statistical tests required in the evaluation of regressed results. Provides a tool for model building and parameter estimation. This is especially useful for graduate students who do modeling and parameter estimation of experimental results.
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- Extensive use of MATLAB® throughout—Chosen for its ability to perform all the calculations in matrix form, its large library of built-in functions, its strong structural language, and its rich graphical visualization tools.
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Allows students to access the full power of this high-performance, easy-to-use language for technical computing—whether they are working in the WINDOWS 95/98/NT, Macintosh, or Unix operating systems. Provides them with a very useful editor for writing the MATLAB scripts.
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- An optional introduction to MATLAB.
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Helps students who are not familiar with MATLAB get up to speed quickly with the program prior to studying the numerical methods.
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- Several worked examples, using MATLAB, in each chapter (22 in all)—Demonstrates the solution of numerical techniques using programs (compatible with MATLAB 5.0 or higher) available on the accompanying CD-ROM. The examples each present a general MATLAB function which implements a method and which may be applied to the solution of other problems that fall in the same category of application as the worked example.
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Helps students grasp—step by step—the fundamentals of the techniques so they can extend the fundamentals with confidence to similar, but more complex, problems.
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- Source code, general algorithm, and brief and detailed descriptions for all programs.
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Provides students with a thorough background and understanding of how MATLAB is used to implement the numerical methods so they can move beyond mere number-crunching. Allows both students and instructors to easily modify the programs to suit their individual needs.
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- Numerous examples and homework problems drawn from chemical and biochemical engineering.
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Maintains students' interest by giving them immediate, hands-on experience in applying content to subjects in which they already have an interest.
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General Algorithm for the Software Developed in This Book.
Programs on the website.
1. Numerical Solution of Nonlinear Equations.
2. Numerical Solution of Simultaneous Linear Algebraic Equations.
3. Finite Difference Methods and Interpolation.
4. Numerical Differentiation and Integration.
5. Numerical Solution of Ordinary Differential Equations.
6. Numerical Solution of Partial Differential Equations.
7. Linear and Nonlinear Regression Analysis.
Appendix: Introduction to MATLAB.
Index.
ALKIS CONSTANTINIDES is a member of the faculty in the Department of Chemical and Biochemical Engineering at Rutgers, The State University of New Jersey.
NAVID MOSTOUFI is a member of the faculty in the Department of Chemical Engineering, University of Tehran, Iran.
1385A-1
Master numerical methods using MATLAB, today's leading software for problem solving
This complete guide to numerical methods in chemical engineering is the first to take full advantage of MATLAB's powerful calculation environment. Every chapter contains several examples using general MATLAB functions that implement the method and can also be applied to many other problems in the same category.
The authors begin by introducing the solution of nonlinear equations using several standard approaches, including methods of successive substitution and linear interpolation; the Wegstein method, the Newton-Raphson method; the Eigenvalue method; and synthetic division algorithms. With these fundamentals in hand, they move on to simultaneous linear algebraic equations, covering matrix and vector operations; Cramer's rule; Gauss methods; the Jacobi method; and the characteristic-value problem. Additional coverage includes:
Finite difference methods, and interpolation of equally and unequally spaced points
Numerical differentiation and integration, including differentiation by backward, forward, and central finite differences; Newton-Cotes formulas; and the Gauss Quadrature
Two detailed chapters on ordinary and partial differential equations
Linear and nonlinear regression analyses, including least squares, estimated vector of parameters, method of steepest descent, Gauss-Newton method, Marquardt Method, Newton Method, and multiple nonlinear regression
The numerical methods covered here represent virtually all of those commonly used by practicing chemical engineers. The focus on MATLAB enables readers to accomplish more, with less complexity, than was possible with traditional FORTRAN. For those unfamiliar with MATLAB, a brief introduction is provided as an Appendix.
The accompanying website contains MATLAB 5.0 (and higher) source code for more than 60 examples, methods, and function scripts covered in the book. These programs are compatible with all three operating systems: Windows(r), MacOS(r), and UNIX(r).
View a Sample Chapter PDF: /samplechapter/0130138517.pdf
Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, contact your Pearson Higher Education representative for pricing and ordering information.
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Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.

