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The Theory of Partitions
Open accessAbstract
This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. For example, the five partitions of 4 are 4, 3+1, 2+2, 2+1+1, and 1+1+1+1. Surprisingly, such a simple matter requires some deep mathematics for its study. This book considers the many theoretical aspects of this subject, which have in turn recently found applications to statistical mechanics, computer science and other branches of mathematics. With minimal prerequisites, this book is suitable for students as well as researchers in combinatorics, analysis, and number theory.
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Citations
Cited by
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Bousquet-Mélou, M., & Brak, R. (2009) · Lecture Notes in Physics · doi:10.1007/978-1-4020-9927-4_3 · Cited by 259
The Geometry of Dynamical Triangulations
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Symmetric functions and the Vandermonde matrix
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Metadata
- Authors
- Andrews, G. E.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1984-12-28
- OpenAlex
- W2125838758
- Cited by
- 2,993
- References
- 0
- FWCI
- 28.09
- Type
- book
- Language
- en
- Open access
- green
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- Andrews, G. E. (1984). The Theory of Partitions. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511608650
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
