1 Algebra.- 2 Affine Algebraic Geometry.- 3 Basics of Analytic Geometry.- 4 Further Development of Analytic Geometry.- 5 Plane Curve Singularities.- 6 The Principle of Conservation of Number.- 7 Standard Bases.- 8 Approximation Theorems.- 9 Classification of Simple Hypersurface Singularities.- 10 Deformations of Singularities.
Mathematisches Lehrbuch: Singularitatentheorie
Die Autoren, Hochschuldozent Dr. Theo de Jong und Prof. Dr. Gerhard Pfister, lehren an den Universitäten Saarbrücken bzw. Kaiserslautern im Fachgebiet Mathematik.
"This book is an introduction to local analytic geometry, with
emphasis on the study of singularities of germs of complex analytic
spaces. It is very well written and the authors, assuming very
little background on the side of the reader, manage to cover in
less than 400 pages a large amount of beautiful material, presented
in a didactical way. ( ) This seems to be an excellent introduction
to the subject and a very appropriate textbook for a graduate
course on these matters" Zentralblatt für Mathematik, 01/09
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