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Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra
BuchGebunden
646 Seiten
Englisch
Springererschienen am13.05.20154. Aufl.
The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D).The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra.mehr
Verfügbare Formate
BuchGebunden
EUR26,74
BuchKartoniert, Paperback
EUR26,74
E-BookPDF1 - PDF WatermarkE-Book
EUR48,14

Produkt

KlappentextThe book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D).The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra.
Details
ISBN/GTIN978-3-319-16720-6
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2015
Erscheinungsdatum13.05.2015
Auflage4. Aufl.
ReiheUndergraduate Texts in Mathematics
Seiten646 Seiten
SpracheEnglisch
Gewicht1200 g
IllustrationenXVI, 646 p. 95 illus., 7 illus. in color.
Artikel-Nr.33936425

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- Notation for Sets and Functions.- 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.- 10. Additional Groebner Basis Algorithms.- Appendix A. Some Concepts from Algebra.- Appendix B. Pseudocode.- Appendix C. Computer Algebra Systems.- Appendix D. Independent Projects.- References.- Index.mehr
Kritik
"In each of the new editions the authors' were interested to incorporate new developments, simplifications of arguments as well as further applications. Thanks to the authors' this is also the case in the present fourth edition. ... Thanks to the continuously updating the textbook will remain an excellent source for the computational Commutative Algebra for students as well as for researchers interested in learning the subject." (Peter Schenzel, zbMATH 1335.13001, 2016)mehr

Schlagworte

Autor


David A. Cox is currently Professor of Mathematics at Amherst College. John Little is currently Professor of Mathematics at College of the Holy Cross. Donal O'Shea is currently President and Professor of Mathematics at New College of Florida.