Computer algebra and symbolic computation : elementary algorithms
著者
書誌事項
Computer algebra and symbolic computation : elementary algorithms
A K Peters, c2002
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注記
Includes bibliographical references (p. 307-315) and index
内容説明・目次
内容説明
This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and construct expressions, we can implement many elementary operations from algebra, trigonometry, calculus, and differential equations. With a minimum of prerequisites this book is accessible to and useful for students of mathematics, computer science, and other technical fields. The book contains a CD with the full, searchable text and implementations of all algorithms in the Maple, Mathematica, and MuPad programming languages.
目次
Preface, 1 Introduction to Computer Algebra, 2 Elementary Concepts of Computer Algebra,3 Recursive Structure of Mathematical Expressions, 4 Elementary Mathematical Algorithms, 5 Recursive Algorithms, 6 Structure of Polynomials and Rational Expressions, 7 Exponential and Trigonometric Transformations, Bibliography, Index
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