Skip to main content

The Partition Method for a Power Series Expansion

Theory and Applications

  • 1st Edition - January 19, 2017
  • Latest edition
  • Author: Victor Kowalenko
  • Language: English
  • Hardback ISBN:
    9 7 8 - 0 - 1 2 - 8 0 4 4 6 6 - 7
  • eBook ISBN:
    9 7 8 - 0 - 1 2 - 8 0 4 5 1 1 - 4

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… Read more

Fall sale

Fall into Wisdom!

Save up to 25% off books and eBooks!

Elsevier academics book covers

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.

Related books