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E-raamat: Computer Algebra and Symbolic Computation: Elementary Algorithms [Taylor & Francis e-raamat]

  • Formaat: 323 pages
  • Ilmumisaeg: 19-Jul-2002
  • Kirjastus: A K Peters
  • ISBN-13: 9780429064753
  • Taylor & Francis e-raamat
  • Hind: 133,87 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
  • Tavahind: 191,24 €
  • Säästad 30%
  • Formaat: 323 pages
  • Ilmumisaeg: 19-Jul-2002
  • Kirjastus: A K Peters
  • ISBN-13: 9780429064753
This textbook explains the formulation of algorithms that solve symbolic mathematical problems, and the implementation of these algorithms in computer algebra programming languages. The mathematical pseudo-language (MPL) is used throughout the book to illustrate the structure of recursive procedures, polynomials, rational expressions, and exponential and trigonometric functions. The CD- ROM contains algorithms and an electronic version of the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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.
Preface ix
Introduction to Computer Algebra
1(28)
Computer Algebra and Computer Algebra Systems
1(9)
Applications of Computer Algebra
10(19)
Elementary Concepts of Computer Algebra
29(48)
Mathematical Pseudo-language (MPL)
29(20)
Expression Evaluation
49(9)
Mathematical Programs
58(10)
Sets and Lists
68(9)
Recursive Structure of Mathematical Expressions
77(42)
Recursive Definitions and Algorithms
77(7)
Expression Structure and Trees
84(24)
Structure-Based Operators
108(11)
Elementary Mathematical Algorithms
119(52)
Mathematical Algorithms
119(13)
MPL's Algorithmic Language
132(24)
Case Study: First Order Ordinary Differential Equations
156(15)
Recursive Algorithms
171(42)
A Computational View of Recursion
171(5)
Recursive Procedures
176(23)
Case Study: Elementary Integration Operator
199(14)
Structure of Polynomials and Rational Expressions
213(62)
Single Variable Polynomials
214(9)
General Polynomial Expressions
223(19)
Relationships Between Generalized Variables
242(5)
Manipulation of General Polynomial Expressions
247(12)
General Rational Expressions
259(16)
Exponential and Trigonometric Transformations
275(32)
Exponential and Trigonometric Expansion
275(14)
Exponential and Trigonometric Contraction
289(18)
Bibliography 307(10)
Index 317
Joel S. Cohen