Real Algebraic Geometry
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Beschreibung
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.
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
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.
Autor*in
Jacek Bochnak
Themen in »Real Algebraic Geometry«
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