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Applications of Computational Algebraic Geometry
 
Edited by: David A. Cox Amherst College, Amherst, MA
Bernd Sturmfels University of California, Berkeley, Berkeley, CA
Applications of Computational Algebraic Geometry
Hardcover ISBN:  978-0-8218-0750-7
Product Code:  PSAPM/53
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9268-8
Product Code:  PSAPM/53.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Hardcover ISBN:  978-0-8218-0750-7
eBook: ISBN:  978-0-8218-9268-8
Product Code:  PSAPM/53.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
Applications of Computational Algebraic Geometry
Click above image for expanded view
Applications of Computational Algebraic Geometry
Edited by: David A. Cox Amherst College, Amherst, MA
Bernd Sturmfels University of California, Berkeley, Berkeley, CA
Hardcover ISBN:  978-0-8218-0750-7
Product Code:  PSAPM/53
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9268-8
Product Code:  PSAPM/53.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Hardcover ISBN:  978-0-8218-0750-7
eBook ISBN:  978-0-8218-9268-8
Product Code:  PSAPM/53.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 531998; 172 pp
    MSC: Primary 13; 14; Secondary 05; 68; 90; 94;

    This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that “crunching equations” is now as easy as “crunching numbers” has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply.

    This book begins with an introduction to Gröbner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in the book assume no previous acquaintance with the material.

    Readership

    Graduate students and research mathematicians interested in commutative rings and algebras.

  • Table of Contents
     
     
    • Articles
    • David A. Cox — Introduction to Gröbner bases [ MR 1602343 ]
    • Bernd Sturmfels — Introduction to resultants [ MR 1602347 ]
    • Dinesh Manocha — Numerical methods for solving polynomial equations [ MR 1602351 ]
    • Thomas W. Sederberg — Applications to computer aided geometric design [ MR 1602355 ]
    • Xenia H. Kramer and Reinhard C. Laubenbacher — Combinatorial homotopy of simplicial complexes and complex information systems [ MR 1602359 ]
    • Rekha R. Thomas — Applications to integer programming [ MR 1602363 ]
    • John B. Little — Applications to coding theory [ MR 1602367 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 531998; 172 pp
MSC: Primary 13; 14; Secondary 05; 68; 90; 94;

This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that “crunching equations” is now as easy as “crunching numbers” has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply.

This book begins with an introduction to Gröbner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in the book assume no previous acquaintance with the material.

Readership

Graduate students and research mathematicians interested in commutative rings and algebras.

  • Articles
  • David A. Cox — Introduction to Gröbner bases [ MR 1602343 ]
  • Bernd Sturmfels — Introduction to resultants [ MR 1602347 ]
  • Dinesh Manocha — Numerical methods for solving polynomial equations [ MR 1602351 ]
  • Thomas W. Sederberg — Applications to computer aided geometric design [ MR 1602355 ]
  • Xenia H. Kramer and Reinhard C. Laubenbacher — Combinatorial homotopy of simplicial complexes and complex information systems [ MR 1602359 ]
  • Rekha R. Thomas — Applications to integer programming [ MR 1602363 ]
  • John B. Little — Applications to coding theory [ MR 1602367 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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