List questions from winding-number

Published on 10 Apr 2026 - 23:02

199

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How winding number in a boundary point of a curve is defined?

Published on 17 Apr 2021 - 12:23

95

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Proving that the winding number is $k$

Published on 06 May 2021 - 13:32

44

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Calculate the integral $ \int_{0}^{1} \frac{1}{z_0+t(z_1-z_0)-z} \,dt $.

Published on 18 May 2021 - 10:23

627

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Winding number is locally-constant for general curves (not $C^1$) using variation of argument definition

Published on 25 Jul 2021 - 12:24

39

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Why is $n(F,D)$ odd, when $F$ is odd?

Published on 07 Aug 2021 - 0:54

45

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A question about such integrations relating to winding numbers

Published on 09 Apr 2026 - 5:46

336

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usage of Rouche's theorem for winding number in proof of Residue theorem

Published on 25 Mar 2026 - 13:56

76

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Embedding of graphs in topological spaces

Published on 14 Nov 2021 - 23:08

71

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$W(\gamma +v , p+ v) = W(\gamma, p)$ why is this true?

Published on 19 Nov 2021 - 7:58

118

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Winding Number of Linear Map

Published on 19 Nov 2021 - 16:44

191

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How do I prove this statement about winding numbers and continuous maps?

Published on 30 Nov 2021 - 9:59

57

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Can I compute contour orientation without using polygon area sign?

Published on 28 Mar 2026 - 8:08

55

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Does injective continuous / holomorphic functions preserve winding number?

Published on 19 Dec 2021 - 10:13

280

Views

How can I prove that this defintion of a winding number is valid?

Published on 28 Dec 2021 - 17:09

List Question

Is this set a star domain?

How winding number in a boundary point of a curve is defined?

Proving that the winding number is $k$

Calculate the integral $ \int_{0}^{1} \frac{1}{z_0+t(z_1-z_0)-z} \,dt $.

Winding number is locally-constant for general curves (not $C^1$) using variation of argument definition

Why is $n(F,D)$ odd, when $F$ is odd?

A question about such integrations relating to winding numbers

usage of Rouche's theorem for winding number in proof of Residue theorem

Embedding of graphs in topological spaces

$W(\gamma +v , p+ v) = W(\gamma, p)$ why is this true?

Winding Number of Linear Map

How do I prove this statement about winding numbers and continuous maps?

Can I compute contour orientation without using polygon area sign?

Does injective continuous / holomorphic functions preserve winding number?

How can I prove that this defintion of a winding number is valid?

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