Oct 28, 2015
Wednesday

01:00 PM  05:00 PM


Minicourse for Undergraduates: Harshad Numbers and Sage Programming
Alejandra Alvarado (U.S. Navy), Helen Grundman (American Mathematical Society), Pamela Harris (Williams College)

 Location
 
 Video


 Abstract
A Harshad number is a positive integer that is divisible by the sum of its digits. The word “Harshad” comes from the Sanskrit harsa (joy) + da (give), meaning joygiver, which was defined by the Indian mathematician D.R. Kaprekar. All one digit numbers are Harshad numbers and it is fairly simple to determine which two digit numbers are Harshad. In 1994, H. Grundman generalized the concept to bHarshad (or bNiven) numbers. Simply put, for b > 1, a bHarshad number is a positive integer that is divisible by the sum of the digits of its base b expansion. The minicourse will provide undergraduate students with an opportunity to learn about Harshad numbers and how to compute some of their properties using the freely available mathematical program Sage. No prior programing experience is required.
Prerequisite: An undergraduate algebra or number theory course
 Supplements



