List questions from self-learning

Published on 19 Jul 2013 - 17:01

139

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Should I learn Commutative rings or finite fields "first" when self teaching?

Published on 10 Apr 2026 - 16:22

1.5k

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Find an equation of each tangent plane to a cone that is parallel to a given plane.

Published on 19 Jul 2013 - 21:20

839

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What textbook should I get to self-learn Calculus?

Published on 04 Apr 2026 - 0:13

782

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What is $\mathfrak a$?

Published on 08 Apr 2026 - 16:46

171

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Assume that $f(x)\ge0$ if $x$ is a point in $\bf{I}$ with a rational component. Prove that $\int_{\bf{I}}f\ge0$.

Published on 24 Jul 2013 - 20:20

91

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Please check my solution: to evaluate $\int_{I}f$

Published on 25 Jul 2013 - 17:27

433

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$(a,b)$ is saddle point if $f_{xy}(a,b)\not= 0$

Published on 25 Jul 2013 - 17:46

547

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IFT application.

Published on 25 Jul 2013 - 19:43

573

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Prove that a proper subset $E$ of $\Bbb R^n$ is connected $\iff$ it contains exactly two relatively clopen sets.

Published on 26 Jul 2013 - 11:51

1.2k

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Prove that $a$ is a cluster point of $E$ $\iff$ for each $r>0$, $E\cap B_r(a)$ \ $\{a\}$ is nonempty.

Published on 26 Jul 2013 - 16:08

15.1k

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Proving Every open set in $\Bbb R$ is a countable union of open intervals.

Published on 26 Jul 2013 - 23:02

134

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What is modular arithmetic?

Published on 10 Apr 2026 - 10:37

8k

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Can a function with just one point in its domain be continuous?

Published on 09 Apr 2026 - 1:51

1.1k

Views

Continuous function between real line and unit circle

Published on 30 Jul 2013 - 5:33

List Question

Resource on Infinite Systems of Difference Equations

Should I learn Commutative rings or finite fields "first" when self teaching?

Find an equation of each tangent plane to a cone that is parallel to a given plane.

What textbook should I get to self-learn Calculus?

What is $\mathfrak a$?

Assume that $f(x)\ge0$ if $x$ is a point in $\bf{I}$ with a rational component. Prove that $\int_{\bf{I}}f\ge0$.

Please check my solution: to evaluate $\int_{I}f$

$(a,b)$ is saddle point if $f_{xy}(a,b)\not= 0$

IFT application.

Prove that a proper subset $E$ of $\Bbb R^n$ is connected $\iff$ it contains exactly two relatively clopen sets.

Prove that $a$ is a cluster point of $E$ $\iff$ for each $r>0$, $E\cap B_r(a)$ \ $\{a\}$ is nonempty.

Proving Every open set in $\Bbb R$ is a countable union of open intervals.

What is modular arithmetic?

Can a function with just one point in its domain be continuous?

Continuous function between real line and unit circle

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