Computational Techniques for the Summation of Series

Authors: Sofo, Anthony

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About this book

Computational Techniques for the Summation of Series is a text on the representation of series in closed form. The book presents a unified treatment of summation of sums and series using function theoretic methods. A technique is developed based on residue theory that is useful for the summation of series of both Hypergeometric and Non-Hypergeometric type. The theory is supported by a large number of examples. The book is both a blending of continuous and discrete mathematics and, in addition to its theoretical base; it also places many of the examples in an applicable setting. This text is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in mathematics, engineering and related fields.

Reviews

From the reviews:

"This book collects in one volume the author’s considerable results in the area of the summation of series and their representation in closed form, and details the techniques by which they have been obtained. … the calculations are given in plenty of detail, and closely related work which has appeared in a variety of places is conveniently collected together. That the author passes on his extensive knowledge of the literature of results for series will also be valued by the interested scholar." (Katherine Seaton, The Australian Mathematical Society Gazette, 32:1, 2005)

"The author presents an unified treatment of summation of sums and series using function theoretic methods. … No book of this type exists which attempts to give a link, by developing a comprehensive method, between non-hypergeometric and hypergeometric summation. … This book is intended for use in the fields of applied mathematics, analysis, non-hypergeometric and hypergeometric summation, summation of series and automated techniques." (Antonio López-Carmona, Zentralblatt MATH, Vol. 1059 (10), 2005)


Table of contents (8 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-1-4615-0057-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-306-47805-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4613-4904-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computational Techniques for the Summation of Series
Authors
Copyright
2003
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4615-0057-5
DOI
10.1007/978-1-4615-0057-5
Hardcover ISBN
978-0-306-47805-5
Softcover ISBN
978-1-4613-4904-4
Edition Number
1
Number of Pages
XV, 189
Topics