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Soham
  • Member for 11 years, 1 month
  • Last seen more than a week ago
47 votes
9 answers
100k views

Calculus book recommendations (for complete beginner) [closed]

14 votes
2 answers
1k views

Is Vieta the only way out?

13 votes
7 answers
3k views

Beautiful Indefinite Integrals. [closed]

13 votes
3 answers
2k views

Inequality of integrals $\int_0^1(f(x))^2 dx \geq 4$ if $\int_0^1xf(x) dx=\int_0^1f(x) dx = 1$

11 votes
0 answers
196 views

Proving $\partial ^ 2 = 0 $ for the case of Morse-Complex with $\mathbb{Z}$ using orientation of the moduli space

7 votes
1 answer
185 views

Book Recommendation for Linear Algebra using analysis.

7 votes
2 answers
2k views

Finding a combinatorial argument for an interesting identity: $\sum_k \binom nk \binom{m+k}n = \sum_i \binom ni \binom mi 2^i$

7 votes
2 answers
2k views

What is the integral of n-th root of tan x?

6 votes
1 answer
392 views

Motivation for solving integrals of specific forms.

6 votes
2 answers
156 views

Definite Integral of $e^{\large x^2}$

6 votes
2 answers
148 views

$f$ is twice differentiable, $f + 2 f^{'} + f^{''} \geq 0$ , prove the following

6 votes
1 answer
2k views

If $f(2x-f(x))=x$ . Find all bijective functions.

6 votes
2 answers
3k views

Solve for $f(x)$ if $f(f(x))=6x-f(x)$

6 votes
2 answers
156 views

How to decide which moduli to check when solving a "polynomial" congruence?

6 votes
2 answers
2k views

Find all pairs of primes $p,q$ such that $pq \mid 2^p +2^q$

6 votes
2 answers
384 views

How many ways are there to fill up a $2n \times 2n$ matrix with $1, -1$?

5 votes
1 answer
276 views

A query about Atiyah's proof of the convexity of moment map

5 votes
4 answers
257 views

Is $\sum\limits_{n=1}^\infty \sin{\frac{(-1)^{n+1}}{n}}$ convergent?

4 votes
3 answers
284 views

Infinite Sum of algebraic expression

4 votes
1 answer
215 views

Another formula for number of onto function.

4 votes
6 answers
405 views

Evaluate $\int\frac{\sqrt{1+x^2}}{x}\, dx$

4 votes
2 answers
960 views

If $f$ is twice differentiable and satisfies the following constraints, prove that $f'(0)\geq-\sqrt 2$.

4 votes
4 answers
321 views

Prove that $f:\mathbb{R^2} \rightarrow \mathbb{R} $ , $f(x) = \|x\|^2$ is differentiable.

4 votes
3 answers
317 views

How many necklaces are there so that between any two red beads there are at least two blue ones?

4 votes
1 answer
94 views

Help in finding the sum of the series

3 votes
2 answers
154 views

If $\lim\limits_{x \rightarrow \infty} f'(x)^2 + f^3(x) = 0$ , show that $\lim \limits_ {x\rightarrow \infty} f(x) = 0$ [duplicate]

3 votes
0 answers
75 views

If integral of square of modulus of $f$ over $\mathbb C$ is finite, then $f \equiv 0$ [duplicate]

3 votes
6 answers
638 views

$2x^2+ 3y^2+4z^2 =1$ find the maximum of $4x+3y+2z$

3 votes
3 answers
269 views

Doubt about Probability of arranging identical balls

3 votes
1 answer
129 views

Algebraic inequality:$\frac a{b^2} + \frac b{c^2} +\frac c{a^2} \geq \frac1a+\frac1b+ \frac1c$