ISBN : 9782705661441
Ouvrage en anglais
Real algebraic geometry has recently undergone considerable development, from the theoretical point of view as well as that of practical applications. In fact, real algebraic geometry is becoming an autonomous branch of mathematics, with its own problems, methods, and techniques.
This book deals with basic facts, with a special emphasis on geometrical aspects like triangulation, metric proprieties, etc..., and at the same time it seeks to link the practical and theoretical aspects of the field.
Global properties of algebraic curves and surfaces are studied and quantitative facts are also given, such as: effective determination of the roots of a polynomial, bounds on the number of connected components, complexity theory, and the "piano mover's problem".
This book will be useful to both pure and applied mathematicians, and to specialists in C.A.D (computer assisted design), computer graphics, and robotics.
210 pages – 16 x 24 cm – 1997