Related papers: Yet another elementary proof of Morley'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…

A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.

We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.

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

We give a new proof of Lucas' Theorem in elementary number theory.

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

Many proofs of the Fundamental Theorem of Algebra, including various proofs based on the theory of analytic functions of a complex variable, are known. To the best of our knowledge, this proof is different from the existing ones.

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.

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 present an elementary proof of the fundamental theorem of algebra, following Cauchy's version but avoiding his use of circular functions. It is written in the same spirit as Littlewood's proof of 1941, but reduces it to more elementary…

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

This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.

A proof is given of Rosenthal's \(\ell_1\) theorem.

A short and elementary proof is given of a celebrated eigenvalue-perturbation result due to Alfred Brauer.

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

This article provides a simple proof of the quadratic formula, which also produces an efficient and natural method for solving general quadratic equations. The derivation is computationally light and conceptually natural, and has the…

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.

We give a new proof of the fundamental theorem of algebra. It is entirely elementary, focused on using long division to its fullest extent. Further, the method quickly recovers a more general version of the theorem recently obtained by…

In this note we shall give a new proof to a quadrature formulae due to Newton.

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