The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.
The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.
Editorial Board
Lev Birbrair,...
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two deca...
Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebra-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebra-geometric approach...
Daniel J. Bates Jonathan D. Haunstein Andrew J. Sommese
The Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a course, with numerous examples, on the use of Bertini to compute solutions, and a complete reference guide with documentation on syntax and usage options. It describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. This...
The Bertini software package provides a powerful toolset for the numerical solution of systems of polynomial equations. This book provides both a cour...
Alicia Dickenstein Frank-Olaf Schreyer Andrew J. Sommese
In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 2006 is one tangible indication of the interest. This volume of articles captures some of the spirit of the IMA workshop.
In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The...
