Real algebraic geometry
Información General
- Autores: Jacek Bochnak, Marie-Françoise Roy
, Michel Coste - Editores: Berlin [etc. : Springer, cop. 1998
- Año de publicación: 1998
- País: Alemania
- Idioma: inglés
- ISBN: 3-540-64663-9
- Texto completo no disponible (Saber más ...)
Resumen
This book is a systematic treatment of real algebraic geometry, a subject that has strong interrelation with other areas of mathematics: singularity theory, differential topology, quadratic forms, commutative algebra, model theory, complexity theory etc. The careful and clearly written account covers both basic concepts and up-to-date research topics. It may be used as text for a graduate course. The present edition is a substantially revised and expanded English version of the book "Géometrie algébrique réelle" originally published in French, in 1987, as Volume 12 of ERGEBNISSE. Since the publication of the French version the theory has made advances in several directions. Many of these are included in this English version. Thus the English book may be regarded as a completely new treatment of the subject.
Otros catálogos
Índice
Ordered Fields, Real Closed Fields.- Semi-algebraic Sets.- Real Algebraic Varieties.- Real Algebra.- The Tarski-Seidenberg Principle as a Transfer Tool.- Hilbert's 17th Problem. Quadratic Forms.- Real Spectrum.- Nash Functions.- Stratifications.- Real Places.- Topology of Real Algebraic Varieties.- Algebraic Vector Bundles.- Polynomial of Regular Mappings with Values in Spheres.- Algebraic Models of C¿ Manifolds.- Witt Rings in Ral algebraic Geometry.
