Contents: 1 Introduction ,- 2 Historical Perspective ,- 3 Basic Principles of Asymmetric Synthesis ,- 4 General Aspects of Asymmetric Catalyis ,- 4.1 Non-Linear Effects and Autocatalysis ,- 5 Hydrogenation of Carbon-Carbon Double Bonds ,- 5.1 Hydrogenation of Functionalized Carbon-Carbon Double Bonds ,- 5.2 Hydrogenation of Non-Functionalized Carbon-Carbon Double Bonds ,- 6 Reduction of Carbonyl and Imino Groups ,- 6.1 Hydrogenation of Carbonyl Groups ,- 6.2 Hydrogenation of Imino Groups ,- 6.3 Hydrosilylation of Carbonyl and Imino Groups ,- 6.4 Hydroboration of Carbonyl Groups ,- 7 Hydrosilylation of Carbon-Carbon Double Bonds ,- 8 Hydroalumination of Carbon-Carbon Double Bonds ,- 9 Hydroboration of Carbon-Carbon Double Bonds ,- 10 Hydrocyanation of Carbon-Carbon Double Bonds ,- 11 Hydrocarbonylation of Carbon-Carbon Double Bonds ,- 12 Hydrovinylation of Carbon-Carbon Double Bonds ,- 13 Carbometalation of Carbon-Carbon Double Bonds ,- 14 Heck Reaction ,- 15 Pauson-Khand Type Reactions ,- 16 Cyclopropanation and C-H Insertion Reactions ,- 16.1 Cyclopropanation and C-H Insertion with Cu ,- 16.2 Cyclopropanation and C-H Insertion with Rh ,- 16.3 Cyclopropanation and C-H Insertion with Metals Other Than Cu and Rh ,- 17 Aziridination ,- 18 Epoxidation ,- 18.1 Epoxidation of Allylic Alcohols ,- 18.2 Epoxidation of Alkenes Other Than Allylic Alcohols ,- 18.3 Epoxide Formation of Enones and Aldehydes ,- 19 Oxidation of Sulfides ,- 20 Dihydroxylation of Carbon-Carbon Double Bonds ,- 21 C-H Oxidation ,- 22 Bayer-Villiger Reaction ,- 23 Isomerization of Carbon-Carbon Double Bonds ,- 24 Allylic Substitution Reactions ,- 25 Cross Coupling Reactions ,- 26 Alkylation of Carbonyl and Imino Groups ,- 26.1 Alkylation of Carbonyl Groups ,- 26.2. Alkylation of Imino Groups ,- 27 Allylation of Carbonyl Groups ,- 28 Cyanation of Carbonyl and Imino Groups ,- 29 Aldol Reactions ,- 29.1 Mukaiyama Aldol Reaction ,- 29.2 Addition of Isocyanocarboxylates and Aldehydes ,- 29.3 Nitroaldol Reaction ,- 30 Addition of Acyl Carbanion Equivalents to the Carbonyl Groups and Enones ,- 31 Conjugate Addition Reactions ,- 31.1 Conjugate Addition of Organometallic Reagents ,- 31.2 Conjugate Addition of Stabilized Carbanions ,- 32 Ene-Type Reactions ,- 33 Cycloaddition Reactions ,- 33.1 Diels-Alder Reactions ,- 33.2 Hetero Diels-Alder and Related Reactions ,- 33.3 (2+2) Cycloaddition Reactions ,- 34 Additions to Enolates ,- 34.1 Alkylation of Enolates ,- 34.2 Protonation of Enolates ,- 35 Ring Opening of Epoxides and Related Reactions ,- 36 Polymerization Reactions ,- 37 Heterogeneous Catalysis ,- 38 Catalyst Immobilization ,- 38.1 Catalyst Immobilization: Solid Supports ,- 38.2 Catalyst Immobilization: Two-Phase Systems ,- 39 Combinatorial Approaches ,- 40 Catalytic Antibodies ,- 41 Industrial Applications ,- 41.1 The Chiral Switch of Metolachlor ,- 41.2 Process R&D of Pharmaceuticals, Vitamins and Fine Chemicals ,- 41.3 Cyclopropanation ,- 41.4 Asymmetric Isomerization of Olefi