Algorithms in Real Algebraic Geometry by Saugata Basu

Algorithms in Real Algebraic Geometry by Saugata Basu

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. Mathematicians will find relevant information about the algorithmic aspects. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

From the reviews:

"The monograph gives a self-contained detailed exposition of the algorithmic real algebraic geometry... In general, the monograph is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields."

Eugenii I. Shustin, Zbl. MATH 1031.14028

"... The book under review gives a self-contained account of some of the more recent and important algorithms arising in RAG [real algebraic geometry]. ... This material has mostly appeared in other sources; however, it is very nice to have it all in one book. ...the book is wonderful reference for algorithms in RAG, for the expert and non-expert alike."

V.Powers, Mathematical Reviews Clippings from Issue 2004g

From the reviews of the second edition:

"‘Real root counting problem’ is one of the main problems under consideration in Algorithms in Real Algebraic Geometry … . the authors have posted an interactive version of the book on each of their websites. The book attempts to be self-contained and … the authors succeed … . Basu, Pollack, and Roy have written a detailed book with quite a few examples and … bibliographic references. … The websites also contain implementations of several of the algorithms … which this reviewer found particularly illuminating." (Darren Glass, MathDL, January, 2007)

"Algorithms in Real Algebraic Geometry … provides a self-contained treatment of some of the important classical and modern results in semi-algebraic geometry, many authored by some subset of the trio Basu, Pollack, and Roy. … The authors have clearly done a tremendous service by providing a self-contained and surprisingly complete source for the foundations of algorithmic real algebraic geometry. They have also organized their material in a way that can be reasonably taught to graduate students." (J. Maurice Rojas, Foundations ofcomputational Mathematics, Issue 8, 2008)

Jacob Goodman, Richard Pollack and J�nos Pach are each distinguished professors and authors in their own right, and together they are the pre-eminent founders and editors-in-chief of the journal, Discrete & Computational Geometry. Over the 20 years since the founding of this premiere journal, it has become synonymous with the field of discrete and computational geometry itself.

SKU	Unavailable
ISBN 13	9783642069642
ISBN 10	3642069649
Title	Algorithms in Real Algebraic Geometry
Author	Saugata Basu
Series	Algorithms And Computation In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2010-11-20
Number of pages	662
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.