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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York, NY, USA :
Cambridge University Press,
©1984.
|
| Colección: | Encyclopedia of mathematics and its applications ;
v. 6. Encyclopedia of mathematics and its applications. Section, Linear algebra. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 008 | 130716s1984 enk ob 001 0 eng d | ||
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| 100 | 1 | |a Minc, Henryk. | |
| 245 | 1 | 0 | |a Permanents / |c Henryk Minc ; with a foreword by Marvin Marcus. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York, NY, USA : |b Cambridge University Press, |c ©1984. | ||
| 300 | |a 1 online resource (xviii, 205 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 6. |a Section, Linear algebra | |
| 500 | |a Imprint and ISBN from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1978. | ||
| 500 | |a Publication taken over by Cambridge University Press in 1984 with a new copyright date. | ||
| 504 | |a Includes bibliographical references (pages 161-196). | ||
| 500 | |a Includes indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 505 | 8 | |a 2.2 The Permanent Function as an Inner ProductProblems; CHAPTER 3 (0, 1)-Matrices; 3.1 Incidence Matrices; 3.2 Theorems of Frobenius and Konig; 3.3 Structure of Square (0, 1)-Matrices; 3.4 (0, 1)-Circulants; Problems; CHAPTER 4 Lower Bounds for Permanents; 4.1 Marshall Hall's Theorem; 4.2 (0, I)-Matrices; 4.3 Fully Indecomposable (0, I)-Matrices; 4.4 Nonnegative Matrices; 4.5 Positive Semi-definite Hermitian Matrices; Problems; CHAPTER 5 The van der Waerden Conjecture; 5.1 The Marcus-Newman Theory; 5.2 Properties of Minimizing Matrices; 5.3 Some Partial Results. Friedland's Theorem | |
| 505 | 8 | |a 5.4 A Conjecture of Marcus and Mine5.5 Lower Bounds for the Permanents of Doubly Stochastic Matrices; Problems; CHAPTER 6 Upper Bounds for Permanents; 6.1 From Muir to Jurkat and Ryser; 6.2 (0, I)-Matrices; 6.3 Nonnegative Matrices; 6.4 Complex Matrices; Problems; CHAPTER 7 Evaluation of Permanents; 7.1 Binet-Mine Method; 7.2 Ryser's Method; 7.3 Comparison of Evaluation Methods; Problems; CHAPTER 8 More about Permanents; 8.1 Other Results; 8.2 Some Applications of Permanents; 8.3 Conjectures and Unsolved Problems-Vintage 1965; 8.4 Conjectures and Unsolved Problems-A Current List; Problems | |
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| 650 | 0 | |a Permanents (Matrices) | |
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 6 | |a Permanents (Matrices) | |
| 650 | 6 | |a Inégalités (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Elementary. |2 bisacsh | |
| 650 | 7 | |a Inequalities (Mathematics) |2 fast | |
| 650 | 7 | |a Permanents (Matrices) |2 fast | |
| 650 | 7 | |a Matrix |g Mathematik |2 gnd | |
| 650 | 7 | |a Permanente |2 gnd | |
| 650 | 7 | |a Ungleichung |2 gnd | |
| 650 | 7 | |a Lineare Algebra |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Minc, Henryk. |t Permanents. |d Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, ©1984 |z 0521302269 |w (DLC) 85121118 |w (OCoLC)12555819 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 6. | |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. |p Section, Linear algebra. | |
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