In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more...
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computer...
For over 100 years 'The Poincare Conjecture' was one of the most confounding puzzles. Invented by a French mathematician it was a theory that had the potential to describe the shape of the universe. It remained unproved & in 2000 the Clay Mathematics Institute identified it as one of the seven great conundrums of the new millennium."
For over 100 years 'The Poincare Conjecture' was one of the most confounding puzzles. Invented by a French mathematician it was a theory that had the ...
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...
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The fir...
