Related papers: A Proof of Kamp's theorem

In this note, we present a simple directed graph proof of Sharkovsky's theorem.

In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

We give an elementary proof to Hasse theorem.

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

We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.

We give a new simpler proof of a theorem of Jayne and Rogers.

A very short proof of Kneser's theorem via transversal is given.

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

We give a counting based proof of the Graham Pollak Theorem

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

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition 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 give a short and relatively elementary proof of the Hilton-Milner Theorem.

We present in this work a new and simple proof of the false centre theorem.

We give a simple proof of Bourgain's theorem on the singularity of Ornstein's maps.

We give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.

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

This article presents a clear proof of the Riemann Mapping Theorem via Riemann's method, uncompromised by any appeals to topological intuition.

We announce here that Fermat's Last theorem was solved, but there is an easy proof of it on the basis of elemetary undergraduate mathematics. We shall disclose such an easy proof.