• Euler's Summation Method

• # Fulltext

https://www.ias.ac.in/article/fulltext/reso/025/07/1045-1053

• # Keywords

Inﬁnite sums, convergence, accuracy.

• # Abstract

What is the meaning of an inﬁnite sum? This question has fascinated mathematicians for a long time; from Zeno's para-dox and the series of Madhava and Leibnitz to more contem-porary times. Euler, Fourier and others played insouciantly with inﬁnite series until Abel, Cauchy and Weierstrass gave us a safe and dependable way to do the right thing" with in-ﬁnite series. Like other such instances in Mathematics, this did not shut the door on the older playground. Rather it pro-vided a framework to play in it with greater clarity.The author learned a lot about this the topic through the bookon $Divergent Series$ by G. H. Hardy, while teaching a course on Computational Methods" at IISER Mohali.

• # Author Affiliations

1. ndian Institute of Science Education and Research Mohali Sector 81, SAS Nagar Manauli PO Punjab 140 306, India.

• # Resonance – Journal of Science Education

Current Issue
Volume 25 | Issue 9
September 2020

• # Resonance – Journal of Science Education | News

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