Foundations · Applications · Systems
Buch, Englisch, 637 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 984 g
ISBN: 978-3-642-62988-4
Verlag: Springer
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Zielgruppe
Research
Fachgebiete
- Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software
- Mathematik | Informatik Mathematik Algebra
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
Weitere Infos & Material
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.
