Book 10

Saugata BasuRichard PollackMarie-Françoise Coste-RoyApril 21, 2007

Springer Science & Business MediaThe algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook the main ideas and techniques presented form a coherent and rich body of knowledge.

Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background.

Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

This second edition contains several recent results, on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.

Publisher

Springer Science & Business Media

Published on

Apr 21, 2007

Pages

662

ISBN

9783540330998

Language

English

Genres

Computers / Data Processing

Computers / Programming / Algorithms

Mathematics / Algebra / General

Mathematics / Discrete Mathematics

Mathematics / Geometry / Algebraic

Mathematics / Numerical Analysis

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