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Riordan Arrays: a Primer

ByPaul Barry

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The aim of this text is to introduce the beginner to the theory of Riordan arrays. Starting in a simple and constructive manner, the basic structure of these arrays is explained with clear examples, before a more theoretical grounding is provided. Ordinary Riordan arrays and exponential Riordan arrays are examined, with many explicit examples, and their applications to combinatorics and other areas are explored. The production matrix of a Riordan array is shown to play a key role, along with various sequence characterizations. Formal prerequisites are kept to a minimum, in order to provide a gentle introduction to this exciting area, that involves linear algebra, group theory and combinatorics. The reader will be well positioned to further explore Riordan arrays and their applications, and to undertake their own projects. They will join a community of interested mathematicians that now spans all continents, in a growing area of research and application.

Details

Publication Date
May 17, 2022
Language
English
Category
Science & Medicine
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Paul Barry

Specifications

Pages
234
Binding
Paperback
Interior Color
Black & White
Dimensions
A4 (8.27 x 11.69 in / 210 x 297 mm)

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