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.
A systematic treatment of real algebraic geometry Carefully and clearly written – may serve as a basis for a graduate course Many of the new developments are included in this edition
Jacek Bochnak
Nash functions Nash-Funktionen Semi-algebraic sets Semi-algebraische Mengen algebraic varieties algebraic vector bundles algebraische Vektorbündel quadratische Formen real algebraic varieties reelle algebraische Mannigfaltigkeiten singularity theory