From the Triangle Inequality to the Isoperimetric Inequality
A lecture in celebration of National Mathematics Day by S. Kesavan, Adjunct Professor, IITM
#Prof. Kesavan retired as professor from the Institute of Mathematical Sciences (IMSc) after over two decades of distinguished service there. He is an expert in differential equations and has authored several books and monographs in addition to research papers.
The triangle inequality states that the sum of the lengths of any two sides of a triangle is at least the length of the third side. Starting from this, we will introduce a series of shape optimization problems in elementary geometry. We will end up proving the isoperimetric inequality which states that of all simple closed curves in the plane with a fixed perimeter, the circle encloses the maximum area.
All are welcome. The lecture is aimed at students of 10th standard and upward.
This program is sponsored by the National Centre for Mathematics (NCM)