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Viser: Ideals, Varieties, and Algorithms - An Introduction to Computational Algebraic Geometry and Commutative Algebra
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
John Little, David A. Cox og Donal O'Shea
(2008)
Sprog: Engelsk
Springer
529,00 kr.
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Detaljer om varen
- 3. Udgave
- Hardback: 551 sider
- Udgiver: Springer (Juli 2008)
- Forfattere: John Little, David A. Cox og Donal O'Shea
- ISBN: 9780387356501
This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.
Preface
to the First Edition. - Preface
to the Second Edition. - Preface
to the Third Edition. - Geometry, Algebra, and Algorithms. - Groebner Bases. - Elimination Theory. - The Algebra-Geometry Dictionary. - Polynomial and Rational Functions on a Variety. - Robotics and Automatic Geometric Theorem Proving. - Invariant Theory of Finite Groups. - Projective Algebraic Geometry. - The Dimension of a Variety. -
Appendix A. Some Concepts from Algebra. -
Appendix B. Pseudocode. -
Appendix C. Computer Algebra Systems. -
Appendix D. Independent Projects. - References. -
Index.
to the First Edition. - Preface
to the Second Edition. - Preface
to the Third Edition. - Geometry, Algebra, and Algorithms. - Groebner Bases. - Elimination Theory. - The Algebra-Geometry Dictionary. - Polynomial and Rational Functions on a Variety. - Robotics and Automatic Geometric Theorem Proving. - Invariant Theory of Finite Groups. - Projective Algebraic Geometry. - The Dimension of a Variety. -
Appendix A. Some Concepts from Algebra. -
Appendix B. Pseudocode. -
Appendix C. Computer Algebra Systems. -
Appendix D. Independent Projects. - References. -
Index.
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