Computer Algebra Handbook Foundations · Applications · Systems
Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. David Berli...
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Format:  eBook 
Language:  English 
Published: 
Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003

Edition:  1st ed. 2003 
Subjects:  
Online Access:  
Collection:  Springer Book Archives 2004  Collection details see MPG.ReNa 
Table of Contents:
 1 Development, Characterization, Prospects
 1.1 Historical Remarks
 1.2 General Characterization
 1.3 Impact on Education
 1.4 Impact on Research
 1.5 Computer Algebra — Today and Tomorrow
 2 Topics of Computer Algebra
 2.1 Exact Arithmetic
 2.2 Algorithms for Polynomials and Power Series
 2.3 Linear Algebra
 2.4 Constructive Methods of Number Theory
 2.5 Algorithms of Commutative Algebra and Algebraic Geometry
 2.6 Algorithmic Aspects of the Theory of Algebras
 2.7 Computational Group Theory
 2.8 Algorithms of Representation Theory
 2.9 Algebraic Methods for Constructing Discrete Structures
 2.10 Summation and Integration
 2.11 Symbohc Methods for DiflFerential Equations
 2.12 Symbolic/Numeric Methods
 2.13 Algebraic Complexity Theory
 2.14 Coding Theory and Cryptography
 2.15 Algorithmic Methods inUniversal Algebra and Logic
 2.16 Knowledge Representation and Abstract Data Types
 2.17 On the Design of Computer Algebra Systems
 2.18 Parahel Computer Algebra Systems
 2.19 Interfaces and Standardization
 2.20 Hardware Implementation of Computer Algebra Algorithms
 3 Applications of Computer Algebra
 3.1 Physics
 3.2 Mathematics
 3.3 Computer Science
 3.4 Engineering
 3.5 Chemistry
 3.6 Computer Algebra in Education
 4 Computer Algebra Systems
 4.1 General Purpose Systems
 4.2 Special Purpose Systems
 4.3 Packages
 5 Meetings and Publications
 5.1 Conferences and Proceedings
 5.2 Books on Computer Algebra
 Cited References
 Index for Authors’ Contributions