2018/08/02 by Alok Shukla, Shukla, Alok
Mathematics · Physics and Astronomy · #00-02 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #Computer science #FOS: Mathematics #History and Overview (math.HO) #Mathematics and Applications #math.CO #math.HO #msc:00-02
paper · pdf · doi:10.48550/arxiv.1808.01902
The article is an expanded version of a "math-popularization" talk given by the author
arxiv created 2018/08/02 · openalex publication_date 2018/08/02 · arxiv updated 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One source of beauty in mathematics is totally unexpected connections between two fundamentally different objects. For instance, is it not surprising that the time period of a real simple pendulum is linked with a function arising out of finding the number of ways in which a positive integer could be decomposed as a sum of two squares? Why should inherent properties and interrelations among counting numbers should appear in the laws of nature that govern the motion of a simple pendulum? In this article we will see some such surprising and beautiful results coming from combinatorics, number theory and physics.