Real algebraic geometry
β Scribed by Jacek Bochnak, Michel Coste, Marie-Francoise Roy
- Book ID
- 127433612
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 6 MB
- Series
- Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge, 36
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN-13
- 9783540646631
- ISSN
- 0071-1136
No coin nor oath required. For personal study only.
β¦ Synopsis
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 "Gβometrie algβbrique rβelle" 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.
π SIMILAR VOLUMES
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequent