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# ðŸ“™ Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-FranÃ§oise Roy â€” free download

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The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing.

Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and 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.

- Series:
**Algorithms and Computation in Mathematics, V. 10** - Author:
**Saugata Basu, Richard Pollack, Marie-FranÃ§oise Roy** - Year:
**2003** - Publisher:
**Springer** - Language:
**German** - ISBN:
**3540009736,9783540009733**

- File size:
**303 718** - Format:
**pdf**

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The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebr...

This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, alg...

The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interes...

This volume covers many topics including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. This book contains many interesting theoretical and applicated new results and surveys presented by the best specialists ...

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to...

These lectures are designed to provide a survey of modern intersection theory in algebraic geometry. This theory is the result of many mathematicians' work over many decades; the form espoused here was developed with R. MacPherson. Published for the Confe...

One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.These ten original articles by prominent mathematic...

This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commu...

This is a genuine introduction to algebraic geometry. The author makes no assumption that readers know more than can be expected of a good undergraduate. He introduces fundamental concepts in a way that enables students to move on to a more advanced book ...

The author gives a clear analysis, in mathematical terms where necessary, of basic electronic devices and circuit components which make up telecommunications systems. Discussions generally begin with elementary systems which serve to best illustrate the p...

This is really a nice text book, with excellent illustrations of a wide variety of mammalian teeth. Althought it is intended for archaeologists, it will be of great use for zoologists and paleontologists. The book is divided into two parts: a first one (c...

Working in the telecommunications industry, I have become all too familiar with texts that skimp on topics important to the reader and are skewed toward the authors' interests. Freeman does an excellent job of balancing his coverage and providing a book ...

This book is an analysis of the rich experience of South Africa and Uganda in their quest for universal access, with particular emphasis on the role of shared access centers (public telephones, cybercafes, telecenters, business centers, etc.) and the fact...

With a balance of theory and practical applications, Tectonic Geomorphology of Mountains is essential reading for research geologists and upper-level undergraduate and graduate students in the earth sciences. This book describes how tectonic events inf...

This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on SDL and MSC, SAM 2002, held in Aberystwyth, UK in June 2002.The 15 revised full papers presented were carefully selected during two rounds of reviewing a...

Ted Turner, Americaâ€™s maverick multi-billionaire, is best known as the creator of CNN who revolutionized the news industry, married Jane Fonda, and then became the largest shareholder in media powerhouse Time-Warner. What makes him tick? And, perhaps more...

With a balance of theory and practical applications, Tectonic Geomorphology of Mountains is essential reading for research geologists and upper-level undergraduate and graduate students in the earth sciences. This book describes how tectonic events inf...