Question

Inverse restriction for polar coordinates in $\mathbb{R^2}$

score 792 · Answer 1 · 2026-03-21 23:09:34

792

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Inverse restriction for polar coordinates in $\mathbb{R^2}$

Published on 21 Mar 2026 - 23:09

score 147 · Answer 2 · 2026-03-21 23:07:35

147

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I’m missing a step in Lang’s proof of the Holomorphic Inverse Function Theorem

Published on 21 Mar 2026 - 23:07

score 479 · Answer 3 · 2026-03-22 13:46:45

479

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Generalization of inverse function theorem to allow unequal dimensions?

Published on 22 Mar 2026 - 13:46

score 117 · Answer 4 · 2026-03-21 23:04:39

117

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Showing inverse of multivariate holomorphic map is holomorphic using real analysis techniques

Published on 21 Mar 2026 - 23:04

score 523 · Answer 5 · 2026-03-22 09:01:37

523

Views

deducing matrix square root from inverse function theorem

Published on 22 Mar 2026 - 9:01

score 167 · Answer 6 · 2026-03-22 02:33:12

167

Views

Question applying Inverse trigonometry to show ${d\theta\over{dt}}={v\sin\theta\over L}$

Published on 22 Mar 2026 - 2:33

score 865 · Answer 7 · 2026-03-22 10:43:01

865

Views

Applications of Inverse Function Theorem

Published on 22 Mar 2026 - 10:43

score 149 · Answer 8 · 2026-03-22 08:03:02

149

Views

How can I say a function $F:\mathbb{R}^n \longrightarrow \mathbb{R}^m$ $n<m$ is locally homeomorphism?? (Implicit function theorem) !!

Published on 22 Mar 2026 - 8:03

score 130 · Answer 9 · 2026-03-25 11:04:51

130

Views

If $|f'(t)| \leq k < 1$ for all $t$ then $\varphi(x, y) = (x + f(y), y + f(x))$ is a diffeomorphism of $\mathbb{R}^2$ onto itself

Published on 25 Mar 2026 - 11:04

score 2.5k · Answer 10 · 2026-03-22 03:31:51

2.5k

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Inverse Function Theorem for Manifolds with Boundary as the Domain

Published on 22 Mar 2026 - 3:31

score 96 · Answer 11 · 2019-10-19 03:58:56

96

Views

Showing a function in $\mathbb{R}^n$ is locally 1:1

Published on 19 Oct 2019 - 3:58

score 85 · Answer 12 · 2019-10-28 18:00:51

85

Views

Edwards Corollary III 2.8 $df_{a}$ is 1-to-1 $\implies$ $f$ is 1-to-1 in a neighborhood of $a$: versus the Inverse Mapping Theorem

Published on 28 Oct 2019 - 18:00

score 978 · Answer 13 · 2019-10-29 22:28:07

978

Views

Spivak, Calculus on Manifolds, Problem 2-37 (b)

Published on 29 Oct 2019 - 22:28

score 92 · Answer 14 · 2019-11-08 07:04:25

92

Views

Function from $\mathbb {R}$ to $\mathbb{R}^2$ - real analysis problem

Published on 08 Nov 2019 - 7:04

score 4.8k · Answer 15 · 2019-11-08 14:56:10

4.8k

Views

What are some real world applications of the Inverse Function Theorem?

Published on 08 Nov 2019 - 14:56

List Question

Inverse restriction for polar coordinates in $\mathbb{R^2}$

I’m missing a step in Lang’s proof of the Holomorphic Inverse Function Theorem

Generalization of inverse function theorem to allow unequal dimensions?

Showing inverse of multivariate holomorphic map is holomorphic using real analysis techniques

deducing matrix square root from inverse function theorem

Question applying Inverse trigonometry to show ${d\theta\over{dt}}={v\sin\theta\over L}$

Applications of Inverse Function Theorem

How can I say a function $F:\mathbb{R}^n \longrightarrow \mathbb{R}^m$ $n<m$ is locally homeomorphism?? (Implicit function theorem) !!

If $|f'(t)| \leq k < 1$ for all $t$ then $\varphi(x, y) = (x + f(y), y + f(x))$ is a diffeomorphism of $\mathbb{R}^2$ onto itself

Inverse Function Theorem for Manifolds with Boundary as the Domain

Showing a function in $\mathbb{R}^n$ is locally 1:1

Edwards Corollary III 2.8 $df_{a}$ is 1-to-1 $\implies$ $f$ is 1-to-1 in a neighborhood of $a$: versus the Inverse Mapping Theorem

Spivak, Calculus on Manifolds, Problem 2-37 (b)

Function from $\mathbb {R}$ to $\mathbb{R}^2$ - real analysis problem

What are some real world applications of the Inverse Function Theorem?

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