## 16 DecTIFR PhD Entrance 2012 Question paper

The Tata Institute of Fundamental Research (TIFR) conducts  a graduate programme leading to the award of PhD degree in certain subjects.  The 2012 Mathematics question paper can be found here. We had also earlier posted the 2011 question paper here. [ad#ad-2]...

## 11 DecA Brief History of Ancient Indian Mathematics (part II)

(India’s Romance with Numbers)   A Brief History of Ancient Indian Mathematics (part I)⪼   Bhaskar I continued where Aryabhatta left off, and discussed in further detail topics such as the longitudes of the planets; conjunctions of the planets with each other and with bright stars; risings and settings...

## 11 DecA Brief History of Ancient Indian Mathematics (part I)

(India’s Romance with Numbers) It is without doubt that mathematics, the science of numbers, today owes a huge debt to the outstanding contributions made by Indian mathematicians over many hundreds of years. From zero to geometry, Indian mathematicians made some great historical achievements. Frankly speaking, without...

## 09 DecMorley's Theorem

INTRODUCTION: One of the most elementary theorems in elementary geometry was discovered about 1899 by F. Morley (whose son Cristopher wrote novels such as Thunder on the Left). He mentioned it to his friends, who spread it over the world in the form of mathematical gossip....

## 07 DecMusic, Mathematics and Mozart

We find in human history instances of various geniuses who live for a very short span of life but who leave lasting impression in the field of his/her interest. In the field of music, Wolfgang Amadeus Mozart was such a genius. Mozart was born January...

## 30 NovWeirstrass' M-Test

We shall state and prove a very important result in Real Analysis called the Weirstrass' M-Test. The statement of the theorem is give below. Let \$\$\$\$ be a sequence of positive real numbers such that \$\$mid f_n(x) mid leq M_n\$\$ for \$\$x in D\$\$, \$\$n in...

## 23 NovDiligimus Cognition (We Love Knowledge) (3)

1.The name of this particular company is is derived from the names of two elements osmium and  tungsten as both these elements were commonly used for lighting filaments at the time the company was founded. Identify the company. 2. Cover Page of a book on the life of? 3.You know...

## 18 NovKannan Soundararajan wins the Infosys Prize 2011

Kannan Soundararajan, a professor of mathematics at the Stanford University has won this year's prestigious Infosys Prize in Mathematical Sciences. His prize citation reads Prof. Kannan Soundararajan has made fundamental contributions to analytic number theory. These include numerous brilliant breakthroughs in well known and difficult problems,...

## 18 NovS. R. S. Varadhan gets US highest scientific honour

S.R. Srinivasa Varadhan, a professor at New York University’s Courant Institute of Mathematical Sciences, was named a recipient of the National Medal of Science, the highest honor bestowed by the United States government on scientists and engineers. Varadhan and the six other recipients of this...

## 10 NovLogic and Games

Soumya Paul, from the Institute of Mathematical Sciences, Chennai recently gave a talk titled "Logic and Games" at the Department of Mathematical Sciences, Tezpur University. The abstract of the talk is given below: The connection between logic and two player zero sum games is well known. They...