"Magical Mathematics of Ramanujan"

Friday, February 17, 2017 The event started -2595 days ago

3:00 PM 4:00 PM

Shelby Center

Room 218

Dr. A. K. Mallik of the Indian Institute of Engineering Science and Technology Shibpur, India will present his talk "Magical Mathematics of Ramanujan" as part of the UAH Mathematical Sciences Colloquium Series.

Ramanujan’s mathematics had a mystical quality. Very often, his results seem to pop out from nowhere. In this popular level talk, we mention some such works. We start with a 4 x 4 magic square starting with his date of birth, which has many interesting properties beyond a normal magic square. It will be shown how he makes an intuitive leap to get a new result starting from a simple Pythagorean relationship. His famous Taxicab number and its relation to a special case of famous Fermat’s Last Theorem (Conjecture) will be mentioned. Ramnaujan provided a series giving rise to the fastest algorithm for evaluating the decimal digits of . Besides a curious function created by him, we also discuss a problem, involving infinite radicals, posed by Ramanujan in 1911. Then we show how he solved instantaneously all the roots of a so-called Brahmagupta’s equation arising out of a puzzle posed to him by Prof. P. C. Mahalanobis in 1914. A short discussion on highly composite numbers and his celebrated result on the partitioning of a number, the product of a happy collaboration with his mentor Prof. G. H. Hardy, is included. Finally, we present Ramanujan’s primes and a couple of other magical formulas.

Refreshments will be served at 2:30 p.m. in SC 201 suite landing.


Details

Category
Conference/Lecture
department
College of Science, Department of Mathematical Sciences
Audience
Public, Students, Faculty and Staff, Alumni

Contact

Tamara Lang 256.824.6400 This email address is being protected from spambots. You need JavaScript enabled to view it.

Venue

Shelby Center

301 Sparkman DriveHuntsville, AL 35899

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