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Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

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Authors:
  1. David Cox

    1. Department of Mathematics and Computer Science, Amherst College, Amherst, USA

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    You can also search for this author in PubMed   Google Scholar

  2. John Little

    1. Department of Mathematics, College of the Holy Cross, Worcester, USA

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    You can also search for this author in PubMed   Google Scholar

  3. Donal O’Shea

    1. Department of Mathematics, Statistics, and Computer Science, Mount Holyoke College, South Hadley, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Geometry, Algebra, and Algorithms

    • David Cox, John Little, Donal O’Shea
    Pages 1-46

  3. Groebner Bases

    • David Cox, John Little, Donal O’Shea
    Pages 47-111

  4. Elimination Theory

    • David Cox, John Little, Donal O’Shea
    Pages 112-166

  5. The Algebra-Geometry Dictionary

    • David Cox, John Little, Donal O’Shea
    Pages 167-211

  6. Polynomial and Rational Functions on a Variety

    • David Cox, John Little, Donal O’Shea
    Pages 212-260

  7. Robotics and Automatic Geometric Theorem Proving

    • David Cox, John Little, Donal O’Shea
    Pages 261-310

  8. Invariant Theory of Finite Groups

    • David Cox, John Little, Donal O’Shea
    Pages 311-348

  9. Projective Algebraic Geometry

    • David Cox, John Little, Donal O’Shea
    Pages 349-428

  10. The Dimension of a Variety

    • David Cox, John Little, Donal O’Shea
    Pages 429-495

  11. Back Matter

    Pages 497-538
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Keywords

Authors and Affiliations

  • Department of Mathematics and Computer Science, Amherst College, Amherst, USA

    David Cox

  • Department of Mathematics, College of the Holy Cross, Worcester, USA

    John Little

  • Department of Mathematics, Statistics, and Computer Science, Mount Holyoke College, South Hadley, USA

    Donal O’Shea

Bibliographic Information

  • Book Title: Ideals, Varieties, and Algorithms

  • Book Subtitle: An Introduction to Computational Algebraic Geometry and Commutative Algebra

  • Authors: David Cox, John Little, Donal O’Shea

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-41154-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XIII, 538

  • Number of Illustrations: 42 b/w illustrations

  • Topics: Algebra

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