Computer Algebra And Symbolic Computation: Mathematical Methods

E-Book Overview

Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polynomial factorization. This book includes complexity analysis of algorithms and other recent developments. It is well-suited for self-study and can be used as the basis for a graduate course. Maintaining the style set by Elementary Algorithms, the author explains mathematical methods as needed while introducing advanced methods to treat complex operations.

E-Book Content

Cohen Computer Algebra and Symbolic Computation Mathematical Methods Mathematica™, Maple™, and similar software packages provide programs that carry out sophisticated mathematical operations. In this book the author explores the mathematical methods that form the basis for such programs, in particular the application of algorithms to methods such as automatic simplification, polynomial decomposition, and polynomial factorization. Computer Algebra and Symbolic Computation: Mathematical Methods goes beyond the basics of computer algebra—presented in Computer Algebra and Symbolic Computation: Elementary Algorithms—to explore complexity analysis of algorithms and recent developments in the field. This text: For the student, Mathematical Methods is an essential companion to Elementary Algorithms, illustrating applications of basic ideas. For the professional, Mathematical Methods is a look at new applications of familiar concepts. ISBN 1-56881-159-4 A K Peters, Ltd. ì1H p‚II‚R ]9s}B„ stI NsAsYt >nH $tB‚ >EEH $tB‚ stI 7a‚PQst‚R{Z >EH $RY„s >EMH %Bt 9Z„ psY‚t stI p‚„Ys„I >EH G$t,j‚„ >d(dH Os} >d(xH
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