## 10 FebCube of Nature: Evolution of physics and mathematics

“Mathematics is the mirror of civilization” Physics deals with the study and understanding of the physical world. And simultaneous study and measurement of experiment and mathematics lead us to the fundamental understanding of nature. Mathematics is the language of physics, and hence considered as the universal...

## 19 Jan50 Multiple Choice Questions on Mechanical Engineering

Q1. Which one of the following is correct? (IES, 2008) In normal shock wave in one dimensional flow A) the entropy remains constant B) the entropy increases across the shock C) the entropy decreases across the shock D) the velocity, pressure, and density increase across the shock   Q2....

## 07 JanWhy Mathematics Courses Are Demanding In Today’s Education

Various Issues widening the Campus, including the Career Opportunities: The increasing importance of mathematics courses in the present day’s situation is an admitted fact. There are many issues, which have prepared for the strong ground for such courses. Students are bending towards such courses by keeping...

## 07 JanIs Distance Learning Right Option?

What is Distance Learning? Distance learning is a way of learning that aims to deliver education to people remotely or who cannot be physically present in the classroom. It is an ideal solution where the teacher and students are separated by physical distance. With the advancement of...

## 31 DecMathematical Legacy of S. Ramanujan: V. Kumar Murty

Gyanome Foundation did a conversation with Prof. V. Kuamr Murty on the occasion of S. Ramanujan's birth anniversary on 22nd December, 2016. The video is shared below. Prof. Murty speaks about Ramanujan, his life and his work in this video. ...

## 31 DecSome Interesting Properties of the Number 2016

We look at some interesting properties of the number $$2016$$. We mention in passing that the year $$2016$$ is a leap year. The number factors as $$2016=2^5\times 3^2\times 7$$. From the factorisation a lot of interesting observations can be made. Such as $$16$$ divides $$2016$$....

## 17 DecFew Problems - 2

For which $$n\in \mathbb{N}$$, does $$n+1 | \binom{2n}{n}$$ hold? For a polynomial $$p(x) = a_nx^n+\ldots + a_0$$ with integral coefficients, i.e. $$a_i\in \mathbb{Z}$$ for all $$1\leq i\leq n$$ with $$a_n\neq 0$$, if $$p(\frac{r}{s})=0$$ where $$r$$, $$s$$ are coprime integers with $$s\neq 0$$ then show that: $$r|a_0$$ ...

## 30 NovFundamental Theorem of Algebra using Galois theory

In this article we shall prove that $$\mathbb{C}$$ is algebraically closed. Here we consider $$\mathbb{C}$$ as a splitting field of the polynomial $$x^2+1$$. The proof uses very little analysis and most of it is Galois theory. The only facts from analysis which will be used in...

## 14 NovThe End of Theoretical Physics

When dealing with theoretical physics a question always arises – is there any end of the theoretical physics? In the last century most of the physicists were agreed to the point that theoretical physics will face its end one day. But the million dollar question...

## 03 NovBook Review: Men of Mathematics

I discovered a great book today "Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincare'', by E. T. Bell, a Touchstone Book, published by Simon and Schuster. The book was first published in 1937 by Scottish-born American mathematician and...