This work offers a comprehensive account of skew fields and related mathematics.

Preface; From the preface to Skew Field Constructions; Note to the reader; Prologue; 1. Rings and their fields of fractions; 2. Skew polynomial rings and power series rings; 3. Finite skew field extensions and applications; 4. Localization; 5. Coproducts of fields; 6. General skew fields; 7. Rational relations and rational identities; 8. Equations and singularities; 9. Valuations and orderings on skew fields; Standard notations; List of special notations used throughout the text; Bibliography and author index; Subject index.