I want to find derivative/variation (I think variation is more correct) of solution of a differential equation with respect to one parameter of differenti...
If for the function $f$ there exists $g$ such that $g(f(x)) = x $, find the derivative of $g$. Then use this for computing the derivative of $f(x) = \log(...
In mathematics, I want to know what is indeed the difference between a ring and an algebra?
In all calculus textbooks, after the part about successive derivatives, the $C^k$ class of functions is defined. The definition says : A function is of cl...
Anyone can suggest me one or more good books on Statistical Inference (estimators, UMVU estimators, hypothesis testing, UMP test, interval estimators, ANO...
How has it been proven that the derivative of position is velocity and the derivative of velocity is acceleration? From Google searching, it seems that ev...
I'm reading Sedgewick's "Algorithms" and completely stuck at one exercise. It is formulated like that: Develop an appropriate mathematical model...
In my book the value of $\,x\,$ for $\,\cos x>0\,$ is given as : $$\bigcup_{n=-\infty}^\infty \left(\left(2n-\frac12\right)\pi, \left(2n+1\right)\frac\...
Q&A for people studying math at any level and professionals in related fields
My book is demanding that I show that the Maclaurin polynomial for $\ln(1+x)$ is $$T_n (x) = x - \frac{x^2}{2} + \frac{x^3}{3}+ \cdots + (-1)^{n-1} \frac{...
What is the difference between a complete metric space and a closed set? Can a set be closed but not complete?
This is from Grimmett and Stirzaker, Chapter 1, page 7. Lemma. Let $A_{1},A_{2},...$ be an increasing sequence of events, so that $A_{1}\subseteq{A_{2}}\s...