Ramanujan Summation of Divergent Series

Ramanujan Summation of Divergent Series
Author: Bernard Candelpergher
Publisher: Springer
Total Pages: 211
Release: 2017-09-12
Genre: Mathematics
ISBN: 3319636308

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.

Geostatistics Notes for Practitioners

Geostatistics Notes for Practitioners
Author: Glen Nwaila
Publisher: CRC Press
Total Pages: 305
Release: 2024-08-20
Genre: Science
ISBN: 1040105165

This book provides a practical perspective of all the processes involved in estimating mineral resources and reserves, including mine-to-mill reconciliation. It provides an integrated step-by-step explanation of processes for performing each step, including insight from academic and industry practitioners. Each chapter details a specific aspect of the estimation processes in a practical manner. It contains examples and case studies to illustrate the practical application of geostatistics in mineral resource estimation, mineral reserve conversion, and reconciliation. Features Provides a step-by-step guide with over 10,000 lines of Python code for hands-on demonstration, from start to finish, for both linear and non-linear geostatistical methods. Explains practical geostatistics processes and functionality. Simplifies explanation of mathematical /statistical concepts and application. Discusses generalised examples to aid the process steps. Reviews processes involved in the mineral resources’ estimation and ore reserve conversion. This book is intended for third-year and postgraduate students in Mineral Resources Management, Geology, Spatial Statistics, and Mining Engineering, as well as practising professionals.

Interpolation

Interpolation
Author: Johan Frederik Steffensen
Publisher:
Total Pages: 276
Release: 1927
Genre: Interpolation
ISBN:

Analysis of Numerical Methods

Analysis of Numerical Methods
Author: Eugene Isaacson
Publisher: Courier Corporation
Total Pages: 580
Release: 2012-04-26
Genre: Mathematics
ISBN: 0486137988

This excellent text for advanced undergraduate and graduate students covers norms, numerical solutions of linear systems and matrix factoring, eigenvalues and eigenvectors, polynomial approximation, and more. Many examples and problems. 1966 edition.