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# Blog Layout 2

### Beautiful Books

Apr 12,15

This is an (ever-growing and ever-changing) list of books, useful for school and college mathematics students. If you are working …

### I.S.I. Entrance Interview Problems

Jun 10,14

a and b are two numbers having the same no. of digits and same sum of digits (=28). Can one …

### Math and Basic Science in India after school

Jan 23,14

We observe a renewed interest in basic science and mathematics in India after decades of engineering mania. This is a …

### Initiating a child into the world of Mathematical Science

Nov 21,13

“How do I involve my son in challenging mathematics? He gets good marks in school tests but I think he …

### What is RMO and how to prepare for it

Nov 14,13

What is RMO RMO or Regional Math Olympiad is the first round of mathematics contest (in India) leading to the …

Nov 21,17

### Continuous functions from discrete space (TIFR 2014 problem 28)

Nov 20,17

Question: Let $$X$$ be a topological space such that every function $$f: X \to \mathbb{R}$$ is continuous. Then A. $$X$$ …

### Homeomorphism of product space with mother space (TIFR 2014 problem 27)

Nov 20,17

Question: $$X$$ is a topological space with infinite cardinality which is homeomorphic to $$X \times X$$. Then A. $$X$$ is …

### Number of irreducible polynomials (TIFR 2014 problem 26)

Nov 18,17

Question: The number of irreducible polynomials of the form $$x^2+ax+b$$ , with $$a,b$$ in the field $$\mathbb{F}_7$$ of 7 elements …

### Order of generated subgroup (TIFR 2014 problem 24)

Nov 18,17

Question:  Let $$H_1, H_2$$ be two distinct subgroups of a finite group G, each of order 2. Let $$H$$ be …

### Identifying isomorphic groups (TIFR 2014 problem 25)

Nov 18,17

Question: Which of the following groups are isomorphic? A. $$\mathbb{R}$$ and $$\mathbb{C}$$ B. $$\mathbb{R}^*$$ and   $$\mathbb{C}^*$$ C. \(S_3 \times …

### CMI Tesselate Contest

Nov 17,17

What: Online Contest in Mathematics, Physics and Computer Science. Organizations: Chennai Mathematical Institute Who are eligible: Students of class 8 through 12 When: will …

### Triangles on a Sphere

Nov 15,17

PROBLEM Suppose the earth is a perfect sphere. You are on its surface at point A. First, you walk 1 …

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