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Examples of subgroups where it's nontrivial to show closure under multiplication?
abstract-algebra
group-theory
examples-counterexamples
big-list
Daily exercises to speed up my mental calculations?
arithmetic
big-list
mental-arithmetic
Neat solutions to tedious questions
big-list
In which topologies do open sets maintain open under countable or arbitrary intersection?
general-topology
definition
examples-counterexamples
big-list
A list of Rudin-style textbooks
reference-request
soft-question
book-recommendation
big-list
Problems with seemingly not enough information
geometry
big-list
Problems with interesting, non-trivial analogues in finite fields
soft-question
finite-fields
big-list
conjectures
What calculation shortcuts exist to help or speed-up mental (or paper) calculations?
big-list
arithmetic
Examples of non-constructive results
big-list
constructive-mathematics
Examples of open problems solved through short proof
soft-question
problem-solving
math-history
big-list
Show me some pigeonhole problems [closed]
combinatorics
problem-solving
big-list
pigeonhole-principle
Mathematics and literature [closed]
soft-question
big-list
book-recommendation
Good (Auto)Biographies of von Neumann and other physicists/mathematicians
reference-request
big-list
math-history
Why do we consider prime numbers important, and what are their applications other than number theory in pure math?
soft-question
prime-numbers
big-list
math-history
What is the theorem that has the most proofs?
soft-question
big-list
formal-proofs
Examples of fallacies in arithmetic and/or algebra [closed]
algebra-precalculus
big-list
Discrepancies in mathematical definitions. [closed]
soft-question
big-list
Examples of bi-implications ($\Leftrightarrow$) where the $\Rightarrow$ direction is used in the proof of the $\Leftarrow$ direction.
examples-counterexamples
big-list
Is there more to complex analysis than a two-dimensional potential theory?
complex-analysis
harmonic-functions
big-list
potential-theory
What are some easily-stated recently proven theorems? [closed]
soft-question
big-list
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