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. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.The polynomial P(X) can be thought of as a formal sum of expressions Xa#39;saquot; (i e Z, r e Q) with coefficients in R. The points (i, r) for which Xa#39;saquot; occurs in P(X) with non- zero coefficient constitute the Newton diagram of P. Notice that the points of theanbsp;...
|Title||:||Algorithms in Real Algebraic Geometry|
|Author||:||Saugata Basu, Richard Pollack, Marie-Françoise Coste-Roy|
|Publisher||:||Springer Science & Business Media - 2013-03-09|