Computer alegebra and symbolic computation : mathematical methods / Joel S. Cohen.

Format:

Book

Author/Creator:

Cohen, Joel S.

Language:

English

Subjects (All):

Algebra--Data processing.

Algebra.

Physical Description:

1 online resource (466 p.)

Edition:

First edition.

Place of Publication:

Natick, Mass. : AK Peters, c2003.

Language Note:

English

Summary:

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.

Contents:

chapter 1 Background Concepts

chapter 2 Integers, Rational Numbers, and Fields

chapter 3 Automatic Simplification

chapter 4 Single Variable Polynomials

chapter 5 Polynomial Decomposition

chapter 6 Multivariate Polynomials

chapter 7 The Resultant

chapter 8 Polynomial Simplification with Side Relations

chapter 9 Polynomial Factorization.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 431-439) and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

9781040188033

1040188036

9780429064760

0429064764

9781439863701

1439863709

OCLC:

133165473