Book Details
Format
Paperback / Softback
Book Series
Lecture Notes in Mathematics
ISBN-10
3319636294
ISBN-13
9783319636290
Edition
1st ed. 2017
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 13th, 2017
Print length
195 Pages
Weight
368 grams
Dimensions
15.90 x 24.20 x 1.50 cms
Product Classification:
Number theoryComplex analysis, complex variables
Ksh 9,000.00
Werezi Extended Catalogue
0 in stock
Delivery Location
Delivery fee: Select location
Secure
Quality
Fast
The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This provides simple proofs of theorems on the summation of some divergent series. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes.
The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
Get Ramanujan Summation of Divergent Series by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer International Publishing AG and it has pages.
