E-Book, Englisch, 514 Seiten, eBook
Cox / Little / OSHEA Ideals, Varieties, and Algorithms
1992
ISBN: 978-1-4757-2181-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
An Introduction to Computational Algebraic Geometry and Commutative Algebra
E-Book, Englisch, 514 Seiten, eBook
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-1-4757-2181-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
1 Geometry, Algebra, and Algorithms.- 2 Groebner Bases.- 3 Elimination Theory.- 4 The Algebra-Geometry Dictionary.- 5 Polynomial and Rational Functions on a Variety.- 6 Robotics and Automatic Geometric Theorem Proving.- 7 Invariant Theory of Finite Groups.- 8 Projective Algebraic Geometry.- 9 The Dimension of a Variety.- Appendix A Some Concepts from Algebra.- §1. Fields and Rings.- §2. Groups.- §3. Determinants.- Appendix B Pseudocode.- §1. Inputs, Outputs, Variables, and Constants.- §2. Assignment Statements.- §3. Looping Structures.- §4. Branching Structures.- Appendix C Computer Algebra Systems.- §1. Maple.- §2. Mathematica.- §3. REDUCE.- §4. Other Systems.- Appendix D Independent Projects.- §1. General Comments.- §2. Suggested Projects.- References.
