Permanents

This 1978 book gives an account of the theory of permanents, their history and applications.

Henryk Minc (Author), Marvin Marcus (Foreword by)

9780521175142, Cambridge University Press

Paperback, published 21 July 2011

224 pages
23.5 x 15.8 x 1.2 cm, 0.32 kg

Review of the hardback: ' … the first complete account of the theory of permanents … Minc's enthusiasm never wanes, and the book is a joy to read. Permanents is unquestionably the definitive treatise on the subject' American Scientist

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.

Subject Areas: Algebra [PBF]