We see that javascript is disabled or not supported by your browser - javascript is needed for important actions on the site. Read more

What's New - Home - Login

Member $avings: $81,567,195.33 | Books Available: 795,830 | Members Online: 220

Swap Used Books - Buy New Books at Great Prices!

How To Swap Books Sign Up Search submenu

PBS Market (New Books)

Gift Buying Guide

Book Browser Advanced Search Books Posted Today Member Book Reviews Award Winning Books NYT Best Sellers Amazon Best Sellers Most Traveled Copies Club Wish List

Discussion Forums Book Lists

Club Lists My Book Lists My Watched Lists Create a List

Blog Donations

School Donation Program In Memory of... Military Donation Program Friends of PBS

Box-O-Books Maps The Eclectic Pen Fun Stuff

20 Questions Sudoku Bookmark Creator

Top 100

Requests Posts Swappers Referrers Reviewers

Pulse of PBS Spread The Word

Invite Friends Bookmarks Facebook Page Facebook App More Ways...

Photo Gallery Recipes Club Tag Cloud Member Testimonials

Help Center submenu

How To Swap Books Browse Help Docs Ask the Librarian PBS Member Icons Live Help

Kiosk

PBS Market (New Books) Go Shopping Buy Credits Buy PBS Money Upgrade Membership Gift Certificates Transfer Credits

Need Help?

Search - Solving Systems of Polynomial Equations (Cbms Regional Conference Series in Mathematics)

Solving Systems of Polynomial Equations - Cbms Regional Conference Series in Mathematics
Author: Bernd Sturmfels

A classic problem in mathematics is solving systems of polynomial equations in several unknowns. Today, polynomial models are ubiquitous and widely used across the sciences. They arise in robotics, coding theory, optimization, mathematical biology, computer vision, game theory, statistics, and numerous other areas. This book furnishes a bridge ... more »across mathematical disciplines and exposes many facets of systems of polynomial equations. It covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical. The set of solutions to a system of polynomial equations is an algebraic variety--the basic object of algebraic geometry. The algorithmic study of algebraic varieties is the central theme of computational algebraic geometry. Exciting recent developments in computer software for geometric calculations have revolutionized the field. Formerly inaccessible problems are now tractable, providing fertile ground for experimentation and conjecture. The first half of the book gives a snapshot of the state of the art of the topic. Familiar themes are covered in the first five chapters, including polynomials in one variable, Gröbner bases of zero-dimensional ideals, Newton polytopes and Bernstein's Theorem, multidimensional resultants, and primary decomposition. The second half of the book explores polynomial equations from a variety of novel and unexpected angles. It introduces interdisciplinary connections, discusses highlights of current research, and outlines possible future algorithms. Topics include computation of Nash equilibria in game theory, semidefinite programming and the real Nullstellensatz, the algebraic geometry of statistical models, the piecewise-linear geometry of valuations and amoebas, and the Ehrenpreis-Palamodov theorem on linear partial differential equations with constant coefficients. Throughout the text, there are many hands-on examples and exercises, including short but complete sessions in Maple®, MATLAB®, Macaulay 2, Singular, PHCpack, CoCoA, and SOSTools. These examples will be particularly useful for readers with no background in algebraic geometry or commutative algebra. Within minutes, readers can learn how to type in polynomial equations and actually see some meaningful results on their computer screens. Prerequisites include basic abstract and computational algebra. The book is designed as a text for a graduate course in computational algebra.

ISBN-13: 9780821832516
ISBN-10: 0821832514
Publication Date: 10/1/2002
Pages: 152
Rating:

0 stars, based on 0 rating

Publisher: American Mathematical Society
Book Type: Paperback
Members Wishing: 0
Reviews: Amazon | Write a Review

Genres:

Science & Math >> Mathematics >> Pure Mathematics >> Algebra >> Elementary
Science & Math >> Mathematics >> Reference

Back to the Top ↑

Search - Solving Systems of Polynomial Equations (Cbms Regional Conference Series in Mathematics)

Loading...