Integer partitions:
The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory tex...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
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| Links: | https://doi.org/10.1017/CBO9781139167239 |
| Zusammenfassung: | The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings. |
| Umfang: | 1 Online-Ressource (x, 141 Seiten) |
| ISBN: | 9781139167239 |
Internformat
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| 100 | 1 | |a Andrews, George E. |d 1938- | |
| 245 | 1 | 0 | |a Integer partitions |c George E. Andrews, Kimmo Eriksson |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2004 | |
| 300 | |a 1 Online-Ressource (x, 141 Seiten) | ||
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| 520 | |a The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings. | ||
| 700 | 1 | |a Eriksson, Kimmo |d 1967- | |
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| spelling | Andrews, George E. 1938- Integer partitions George E. Andrews, Kimmo Eriksson Cambridge Cambridge University Press 2004 1 Online-Ressource (x, 141 Seiten) txt c cr The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings. Eriksson, Kimmo 1967- Erscheint auch als Druck-Ausgabe 9780521600903 Erscheint auch als Druck-Ausgabe 9780521841184 |
| spellingShingle | Andrews, George E. 1938- Integer partitions |
| title | Integer partitions |
| title_auth | Integer partitions |
| title_exact_search | Integer partitions |
| title_full | Integer partitions George E. Andrews, Kimmo Eriksson |
| title_fullStr | Integer partitions George E. Andrews, Kimmo Eriksson |
| title_full_unstemmed | Integer partitions George E. Andrews, Kimmo Eriksson |
| title_short | Integer partitions |
| title_sort | integer partitions |
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