Opening book details…
Can I read Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) on EtoBox?
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David A. Cox, John Little, Donal O'Shea (auth.) is a mathematics available to read on EtoBox.
What is Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) about?
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. 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 level courses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system.
Who reads Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- David A. Cox, John Little, Donal O'Shea (auth.)
- Publisher
- Springer International Publishing : Imprint : Springer
- Published
- 2015
- Language
- EN
- ISBN
- 9783319167213
- Category
- mathematics
- Subjects
- Computer Science, Mathematics, Geometry And Topology
- Rating
- 4.7 / 5 (51 ratings)
- Updated
- 2026-03-14
Other editions & translations
- Идеалы, многообразия и алгоритмы (2000)
- Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics) (2007)
- Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) (2007)
- Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra (1992)
- Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) (2013)
- Ideals, Varieties, and Algorithms : an Introduction to Computational Algebraic Geometry and Commutative Algebra : with 91 Illustrations (2006)
More by David A. Cox, John Little, Donal O'Shea (auth.)
Browse all works by David A. Cox, John Little, Donal O'Shea (auth.)
Similar books
- Introduction To Commutative Algebra And Algebraic Geometry% — Ernst Kunz (1984)
- Computational Methods In Commutative Algebra And Algebraic Geometry (algorithms And Computation In Mathematics) — Wolmer Vasconcelos, D. Eisenbud, D.R. Grayson, J. Herzog, M. Stillman (1998)
- Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics (150)) — David Eisenbud (auth.) (1995)
- Computational Commutative and Non-Commutative Algebraic Geometry — Svetlana Cojocaru, Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry, Nato Advanced Research Workshop on Computational Commutative and Non-Commutative Algebraic Geometry, Svetlana Cojocaru, Gerhard Pfister (2005)
- Algebraic Geometry and Commutative Algebra (Universitext) — Siegfried Bosch (auth.) (2013)
- The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry (Graduate Texts in Mathematics) — David Eisenbud (auth.) (2005)