This book is a systematic treatment of real algebraic geometry. It is carefully and clearly written; it starts with the basic concepts and leads to up-to-date research topics. The present volume is a translation, revision and updating of ERGEBNISSE vol.12, published in French in 1987. Many new developments in this field have been included in this book.

Recensione

"Wie schon das franz�sische Original, so ist auch die englische Version sehr sorgf�ltig verfasst. Beim Vergleich zwischen beiden st�sst man immer wieder auf Stellen, wo der urspr�ngliche Text nicht nur einfach �bersetzt, 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 2001

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