Related papers: A short proof of the Hilton-Milner Theorem

We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.

We provide a simple proof of Kamp's theorem.

In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic…

We show that an elementary proof of Fermat's Last Theorem (FLT) exists. Our paper also extends the scope of FLT from integers to all rational numbers.

We present a short and self-contained proof of the choosability version of Brooks' theorem.

We give a short proof of Stein's universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or transference methods).

I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.

In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.

We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.

A very short proof of G\"odel's second incompleteness theorem (for set theory, second order arithmetic etc.)

A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case

In this short paper we review and extract some features of the Fredholm Alternative problem .

We present a simple proof of the Riemann's Hypothesis (RH) where only undergraduate mathematics is needed.

A very simple but useful almost sure convergence theorem of probability is given.

We present a new, elementary, dynamical proof of the prime number theorem.

In this note we exhibit a very simple proof of McNaughton Theorem, almost right out of the definitions, and at the same time we observe that this theorem does not depend of Chang's completeness theorem.

An elementary proof of Bertrand's theorem is given by examining the radial orbit equation, without needing to solve complicated equations or integrals.

Simple and shorter proofs of two Dirac-type theorems involving connectivity are presented.

We give a short proof to the following tilting theorem by Happel, Reiten and Smal{\o} via an explicit construction: given two abelian categories $\mathcal{A}$ and $\mathcal{B}$ such that $\mathcal{B}$ is tilted from $\mathcal{A}$, then…

We produce a new, shorter construction of a minor-universal planar graph.