Real Algebraic Geometry
Published on 19. August 1998
Book
Hardback
X, 430 pages
978-3-540-64663-1 (ISBN)
Description
The present volume is a translation, revision and updating of our book (published in French) with the title "Géométrie Algébrique Réelle". Since its publication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original.
Reviews / Votes
"Wie schon das franzosische Original, so ist auch die englische Version sehr sorgfaltig verfasst. Beim Vergleich zwischen beiden stosst man immer wieder auf Stellen, wo der ursprungliche Text nicht nur einfach ubersetzt, sondern im Interesse einer noch klareren Darstellung auch neu konzipiert worden ist. Kein Zweifel, dass die neue Fassung auch weiterhin die Rolle einer Standradreferenz spielen wird." DMV Jahresbericht, 103. Band, Heft 2, Juli 2001More details
Series
Edition
1998 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 430 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1760 gr
ISBN-13
978-3-540-64663-1 (9783540646631)
DOI
10.1007/978-3-662-03718-8
Schweitzer Classification
Other editions
Additional editions
Jacek Bochnak | Michel Coste | Marie-Francoise Roy
Real Algebraic Geometry
Book
12/2010
Springer
€192.59
Shipment within 7-9 days
Content
1. Ordered Fields, Real Closed Fields.- 2. Semi-algebraic Sets.- 3. Real Algebraic Varieties.- 4. Real Algebra.- 5. The Tarski-Seidenberg Principle as a Transfer Tool.- 6. Hilbert's 17th Problem. Quadratic Forms.- 7. Real Spectrum.- 8. Nash Functions.- 9. Stratifications.- 10. Real Places.- 11. Topology of Real Algebraic Varieties.- 12. Algebraic Vector Bundles.- 13. Polynomial or Regular Mappings with Values in Spheres.- 14. Algebraic Models of C? Manifolds.- 15. Witt Rings in Real Algebraic Geometry.- Index of Notation.