Permanents
著者
書誌事項
Permanents
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 6 . Section,
Cambridge University Press, 1984
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注記
Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1978
Publication taken over by Cambridge University Press in 1984 with a new copyright date
Bibliography: p. 161-196
Includes indexes
内容説明・目次
内容説明
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.
目次
- 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.
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