The Partition Method for a Power Series Expansion
Language: English
Published by Elsevier Science Publishing Co Inc, US, 2017
- Hardcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
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The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.
Seller Inventory # LU-9780128044667
- Title
- The Partition Method for a Power Series Expansion
- Author
- Victor Kowalenko
- Publisher
- Elsevier Science Publishing Co Inc, US
- Publication year
- 2017
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0128044667
- ISBN 13
- 9780128044667
- Item weight
- 640 grams
The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics.
In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established.
Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.
- Explains the partition method by presenting elementary applications involving the Bernoulli, cosecant, and reciprocal logarithm numbers
- Compares generating partitions via the BRCP algorithm with the standard lexicographic approaches
- Describes how to program the partition method for a power series expansion and the BRCP algorithm
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