Some Tapas of Computer Algebra [1 ed.] 3540634800, 9783540634805
This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its cha
218 86 4MB
English Pages 352 [366] Year 1999
Table of contents :
Front Matter....Pages I-XIV
Gröbner Bases, an Introduction....Pages 1-33
Symbolic Recipes for Polynomial System Solving....Pages 34-65
Lattice Reduction....Pages 66-77
Factorisation of Polynomials....Pages 78-90
Computations in Associative and Lie Algebras....Pages 91-120
Symbolic Recipes for Real Solutions....Pages 121-167
Gröbner Bases and Integer Programming....Pages 168-183
Working with Finite Groups....Pages 184-207
Symbolic Analysis of Differential Equations....Pages 208-236
Gröbner Bases for Codes....Pages 237-259
Gröbner Bases for Decoding....Pages 260-275
Automatic Geometry Theorem Proving....Pages 276-296
The Birkhoff Interpolation Problem....Pages 297-304
The Inverse Kinematics Problem in Robotics....Pages 305-310
Quaternion Algebras....Pages 311-314
Explorations with the Icosahedral Group....Pages 315-322
The Small Mathieu Groups....Pages 323-337
The Golay Codes....Pages 338-347
Back Matter....Pages 349-352
Front Matter....Pages I-XIV
Gröbner Bases, an Introduction....Pages 1-33
Symbolic Recipes for Polynomial System Solving....Pages 34-65
Lattice Reduction....Pages 66-77
Factorisation of Polynomials....Pages 78-90
Computations in Associative and Lie Algebras....Pages 91-120
Symbolic Recipes for Real Solutions....Pages 121-167
Gröbner Bases and Integer Programming....Pages 168-183
Working with Finite Groups....Pages 184-207
Symbolic Analysis of Differential Equations....Pages 208-236
Gröbner Bases for Codes....Pages 237-259
Gröbner Bases for Decoding....Pages 260-275
Automatic Geometry Theorem Proving....Pages 276-296
The Birkhoff Interpolation Problem....Pages 297-304
The Inverse Kinematics Problem in Robotics....Pages 305-310
Quaternion Algebras....Pages 311-314
Explorations with the Icosahedral Group....Pages 315-322
The Small Mathieu Groups....Pages 323-337
The Golay Codes....Pages 338-347
Back Matter....Pages 349-352
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- Author / Uploaded
- Arjeh M. Cohen (auth.)
- Arjeh M. Cohen
- Hans Cuypers
- Hans Sterk (eds.)
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