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Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:
Introduction To Numerical Ordinary and Partial Differential Equations Using Matlabby Alexander Stanoyevitch
Synopses & Reviews
Learn how to solve complex differential equations using MATLAB®
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB and programming alongside theory and modeling. By presenting these topics in tandem, the author enables and encourages readers to perform their own computer experiments, leading them to a more profound understanding of differential equations.
The text consists of three parts:
All the tools needed to master using MATLAB to solve differential equations are provided and include:
This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom-tested over the course of many years, with the result that any self-learner with an understanding of basic single-variable calculus can master this topic. Systematic use is made of MATLAB's superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.
Book News Annotation:
Stanoyevitch (University of Guam) introduces the Matlab program for solving computations involving matrices, particularly the data spreadsheets generated in many scientific fields, then describes numerical methods for solving differential equations. The inclusion of rootfinding, floating point arithmetic, and numerical linear algebra make the undergraduate textbook also suitable for a course in numerical analysis.
Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(r) teaches you how to numerically solve both ordinary and partial differential equations with ease. This innovative resource brings together a skillful treatment of MATLAB and programming alongside current theory and modeling methods. All the tools needed to master MATLAB and then use it to solve differential equations are provided. "Exercises for the Reader" range from routine computations to more advanced conceptual and theoretical questions, while illustrative examples demonstrate MATLAB's powerful ability to solve differential equations. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(r) is an unsurpassed pedagogical tool.
ALEXANDER STANOYEVITCH, PhD, is a professor of mathematics and has served as department chairman at the University of Guam. He completed his graduate work in mathematical analysis at the University of MichiganAnn Arbor. He has published several articles in leading mathematical journals and has been an invited speaker at numerous lectures and conferences. Dr. Stanoyevitch makes extensive use of MATLAB in most of the classes that he teaches.
About the Author
"…reading it is a pleasure. In summary, here is an excellent, readable introduction to the elementary theory and practice of numerical mathematics." (CHOICE, September 2005)
Table of Contents
PART I: INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor’s Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB’s Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
MATLAB Command Index.
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