Andrew J. Sommese's Books

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science

By: Andrew J Sommese,Charles W Wampler, Ii

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science

By: Andrew J Sommese,Charles W Wampler, Ii

Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

425

Publisher

World Scientific

Published Date

ISBN 10

9814480886

ISBN 13

9789814480888

The Adjunction Theory of Complex Projective Varieties

By: Mauro C. Beltrametti,Andrew J. Sommese

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Adjunction Theory of Complex Projective Varieties

By: Mauro C. Beltrametti,Andrew J. Sommese

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, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

421

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110871742

ISBN 13

9783110871746

Numerically Solving Polynomial Systems with Bertini

By: Daniel J. Bates,Jonathan D. Hauenstein,Andrew J. Sommese,Charles W. Wampler

Write a review Read reviews Take a Quiz Solve Book Puzzle

Numerically Solving Polynomial Systems with Bertini

By: Daniel J. Bates,Jonathan D. Hauenstein,Andrew J. Sommese,Charles W. Wampler

This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and 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. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

372

Publisher

SIAM

Published Date

ISBN 10

1611972698

ISBN 13

9781611972696

Interactions of Classical and Numerical Algebraic Geometry

A Conference in Honor of Andrew Sommese : Interactions of Classical and Numerical Algebraic Geometry, May 22-24, 2008, University of Notre Dame, Notre Dame, Indiana

By: Daniel James Bates

Write a review Read reviews Take a Quiz Solve Book Puzzle

Interactions of Classical and Numerical Algebraic Geometry

A Conference in Honor of Andrew Sommese : Interactions of Classical and Numerical Algebraic Geometry, May 22-24, 2008, University of Notre Dame, Notre Dame, Indiana

By: Daniel James Bates

This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

379

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821847465

ISBN 13

9780821847466

Book's by Andrew J. Sommese

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science

The Numerical Solution Of Systems Of Polynomials Arising In Engineering And Science

The Adjunction Theory of Complex Projective Varieties

The Adjunction Theory of Complex Projective Varieties

Numerically Solving Polynomial Systems with Bertini

Numerically Solving Polynomial Systems with Bertini

Interactions of Classical and Numerical Algebraic Geometry

Interactions of Classical and Numerical Algebraic Geometry

Username

Password

Username

Password

Password again

Birthday

Email