This is the first graduate textbook on the algorithmic aspects
of real algebraic geometry. 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 and other
relevant topics.
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