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37 votes

Why do complex function have derivatives?

complex-analysis derivatives complex-numbers partial-derivative intuition asked Aug 22, 2016 at 21:22
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18 votes

Is there a group theoretic proof that $(\mathbf Z/(p))^\times$ is cyclic?

abstract-algebra group-theory proof-writing soft-question cyclic-groups asked Feb 17, 2020 at 22:11
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13 votes

What is the meaning of $dz$ in Complex Integrals?

integration complex-analysis complex-numbers complex-integration asked Apr 16, 2017 at 23:32
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9 votes

The best source to study Galois theory for beginners

abstract-algebra group-theory reference-request field-theory galois-theory asked Sep 21, 2017 at 15:26
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9 votes

Is there a flaw on "Galois for beginners"?

abstract-algebra group-theory reference-request field-theory galois-theory asked Sep 22, 2017 at 13:57
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9 votes

Matrices which determinant is obvious.

linear-algebra matrices linear-transformations determinant big-list asked Jan 18, 2021 at 21:34
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9 votes

Are linear transformations precisely those that keep lines straight and the origin fixed?

linear-algebra proof-writing linear-transformations asked Sep 19, 2019 at 6:31
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8 votes

What natural ways of partitioning a group $G$ are there?

abstract-algebra group-theory finite-groups big-list set-partition asked Jan 24, 2019 at 13:07
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8 votes

Could one define a function in the following way, without leading to a contradiction?

functional-equations asked Sep 13, 2017 at 10:04
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7 votes

Is $\text{GL}_2(\mathbb{R})/\mathbb{R}^{\times}$ isomorphic to $\text{SL}_2(\mathbb{R})$?

linear-algebra matrices group-theory group-homomorphism asked May 24 at 13:50
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