Permanents

The purpose of this book, which was first published in 1978, is to give a complete account of the theory of permanents, their history and applications. This volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt. The work also contains many results stated without formal proofs. This book can be used as a textbook at the advanced undergraduate or graduate level. The only prerequisites are a standard undergraduate course in the theory of matrices and a measure of mathematical maturity.

Editor's statement; Section editor's foreword; Preface; 1. The theory of permanents in the historical order of development; 2. Properties of permanents; 3. (0, 1)-Matrices; 4. Lower bounds for permanents; 5. The van der Waerden conjecture; 6. Upper bounds for permanents; 7. Evaluation of permanents; 8. More about permanents; Bibliography; Index to bibliography; Index of notation; Index.