The notebook Mathematics
Search/

Browse by subject

Mathematics

Problems to sit with. Proofs to enjoy. Connections to uncover.

Mathematics notes

5 entries
Problem Solution included

Trigonometry Without a Word

Two arctangent identities, seen through a geometric proof without words.

geometrytrigonometry
Problem Solution included

Simple but Fun

A permutation of an odd-sized set produces an even product. Can you see why?

number theoryparity
Problem Solution included

Hilbert Matrices

A deceptively simple matrix: can you prove it is always nonsingular?

linear algebraanalysis
Problem Solution included

Conservative Polynomials

What happens to a polynomial when we take its absolute value?

algebrapolynomials