On A Mathematical Contradiction to Rethink Associativity and Commutativity for Infinite Series and Infinite Products

Authors

  • Md. Shafiqul Islam Department of Materials and Metallurgical Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh.
  • Sumit Bhowmick Department of Materials and Metallurgical Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh.

Keywords:

Infinite Series, Infinite Product, Commutative Law

Abstract

This paper deals with two contradictory values of π, focusing on the invalidity of associative and commutative laws for infinite series. The argument shows that operating with some infinite products leads to some dangerous contradictions such as the π value turns out to be 4 or 8/3. The study and the findings embedded with the article’s methodology points out that these classical operations like associativity and commutativity on infinite series or infinite products must be handled carefully.

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Published

2022-06-30

Issue

Vol. 18 No. 1 (2022): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On A Mathematical Contradiction to Rethink Associativity and Commutativity for Infinite Series and Infinite Products. (2022). Journal of Prime Research in Mathematics, 18(1). https://jprm.sms.edu.pk/index.php/jprm/article/view/184