Nameless

7,952 reputation

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In mathematics you don’t understand things. You just get used to them.

John von Neumann

A mathematician is a blind man in a dark room looking for a black cat which isn’t there!

Charles Darwin

We must know — we will know!

David Hilbert

	7,952 reputation	bio	website		visits	member for	1 year, 1 month
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17 Questions

views newest activity votes

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answers

560

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Book on the Rigorous Foundations of Mathematics- Logic and Set Theory

feb 16 at 7:55 Nameless 7,952

votes

answer

329

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Proof that a function with a countable set of discontinuities is Riemann integrable without the notion of measure

calculus real-analysis integral

dec 26 at 8:01 Nameless 7,952

votes

answer

140

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Non elementary antiderivative of $\phi(\cos x,\sin x)$ when $\phi(x,y)$ is a rational real function?

definite-integral indefinite-integral residue-calculus

1d ago doraemonpaul 3,072

votes

answer

330

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Principles of Mathematical Analysis, Dedekind Cuts, Multiplicative Inverse

real-analysis elementary-set-theory

jul 28 at 11:03 AlbertH 3,542

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answers

views

Proof that if $f,g,h:[a,b]\to \mathbb{R}$ with $h\le f,g$ and $f,g,h$ are gauge integrable then so is $\min(f,g)$

calculus real-analysis integral definite-integral

jan 29 at 13:28 Nameless 7,952

votes

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120

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Proof using Darboux's Definition: $\int_0^1f=\lim_{n\to \infty}\frac1n\sum_{i=1}^{n}f\left(\frac in\right)$

real-analysis sequences-and-series integral

jan 4 at 21:01 Nameless 7,952

votes

answer

222

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Direct proof of Fubini's Theorem for the Darboux Integral over a rectangle

analysis multivariable-calculus integration

oct 22 at 17:17 Nameless 7,952

votes

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102

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If $f:D\to \mathbb{R}$ is continuous and exists $(x_n)\in D$ such as that $x_n\to a\notin D$ and $f(x_n)\to \ell$ then $\lim_{x\to a}f(x)=\ell$?

calculus real-analysis limit continuity

jul 17 at 9:00 Nameless 7,952

vote

answer

103

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Question on Proof of : power series of complex numbers is holomorphic

complex-analysis power-series

nov 6 at 19:55 Nameless 7,952

vote

answers

116

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A rigorous book (or preferrably set of notes) on classic multivariable calculus-analysis?

reference-request multivariable-calculus big-list self-learning

nov 4 at 18:25 Nameless 7,952

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153

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Rigorous definition of positive orientation of curve in $\mathbb{R}^n$

analysis multivariable-calculus

oct 24 at 19:14 Christian Blatter 32.7k

vote

answer

262

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Question Regarding the Riemann Criterion of Integrability

sequences-and-series limit integration

apr 18 '12 at 12:26 martini 16.3k

votes

answer

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Simpler proof of: $f:(a,b)\to \mathbb{R}$ is continuous, $\lim_{x\to a^+}f(x)=\lim_{x\to b^-}f(x)=+\infty$ then $f$ has a global minimum.

calculus real-analysis continuity

dec 4 at 18:13 tohecz 708

votes

answer

115

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Question on the Proof of Casorati Weierstrass

complex-analysis singularity-theory

nov 17 at 15:58 froggie 4,935

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118

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Extending Cauchy Goursat from triangles to simply connected domains

complex-analysis

nov 10 at 17:19 saz 5,487

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Rigorous proof that a simple closed curve with a given parametrization in $\mathbb{R}^2$ either has positive or negative orientation

analysis multivariable-calculus

oct 25 at 15:08 Hagen von Eitzen 43k

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500

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Prove that the recursive sequence $x_0=1$, $x_{n+1}=\frac{1}{2}(x_{n}+\frac{2}{x_{n}})$ is Cauchy [duplicate]

real-analysis sequences-and-series limit

apr 2 '12 at 21:10 robjohn♦ 60k