Related papers: An Elementary Proof for the Basel Problem
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.
We provide infinitely many solutions of a Dirichlet problem on balls.
Remarks on mathematical proof and the practice of mathematics.
Stirling's formula is a powerful asymptotic approximation of the factorial function. Many well-known proofs of this formula are grounded in integral calculus. In this paper, we present an alternative proof of Stirling's formula using only…
In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.
We present an extremely simple sorting algorithm. It may look like it is obviously wrong, but we prove that it is in fact correct. We compare it with other simple sorting algorithms, and analyse some of its curious properties.
We present an elementary proof for Ljunggren equation
I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].
"Goldbach's Conjecture" proven by analysis of how all combinations of the odd primes, summed in pairs, generates all of the even numbers.
We give a one-sentence elementary proof of the combinatorial Fa\`a di Bruno's formula.
We give an elementary probabilistic proof of a binomial identity. The proof is obtained by computing the probability of a certain event in two different ways, yielding two different expressions for the same quantity.
We give a new elementary proof of existence and uniqueness of a solution to the Sylvester equation $AX-XB=Y$
A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.
This note offers an elementary proof of the Siegel-Walfisz theorem for primes in arithmetic progressions.
We provide a simple proof of Kamp's theorem.
In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.
We obtain simple proofs of certain inequalites for bivariate means.
In this paper I present a kind of proof for classical Euclidean geometric problems which relies on both synthetic and analytic geometry. Using the elementary tools of polynomial algebra and multivariate calculus we manage to reduce the…