Mathematics
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Samrat Mukhopadhyay
  • Member for 8 years, 11 months
  • Last seen more than a week ago
  • India
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About

I am always an avid lover of Mathematics. I am now a PhD student on Signal Processing. I have started learning bits of real Analysis, general topology, functional analysis and measure theory. I want to know the subjects more deeply and thoroughly. I am currently following the books by Rudin for analysis, Munkres for topology, Kreyzig for functional analysis and schilling for measure theory. Hope to know more.

These daunting busy days are keeping me from coming to this site. But I will return.

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All Questions Answers
Score Newest
answer
52
How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$?
Jul 25, 2013
answer
22
$\sum a_n$ converges $\implies\ \sum a_n^2$ converges?
May 14, 2015
answer
19
How to compute $\prod_{n=1}^\infty\left(1+\frac{1}{n!}\right)$?
Aug 5, 2013
answer
18
Prove that $ n < 2^{n}$ for all natural numbers $n$.
Jul 22, 2013
answer
17
How to show $\lim_{x \to 1} \frac{x + x^2 + \dots + x^n - n}{x - 1} = \frac{n(n + 1)}{2}$?
Jul 25, 2013
answer
17
What functions satisfy such equation?
Feb 20, 2015
answer
16
Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?
Jul 24, 2013
question
16
Are eigenvalues of the limit of a sequence of matrices limits of eigenvalue sequences?
Jul 2, 2015
answer
14
Prove that $z_{n+1} = \frac12 \left(z_n +\frac{1}{z_n} \right) $ converges to $1$
Jun 29, 2013
answer
14
How do you express the Frobenius norm of a Matrix as the squared norm of its singular values?
Feb 10, 2015
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Inverse of particular lower triangular matrix

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