Tag Archive for: proofs

How to Write a Math Proof and Their Structure
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Proofs in mathematics are what mathematics is all about. They are subject to entire books, created entire theories like Fermat's last theorem, are hard…

A Pure Hamiltonian Proof of the Maupertuis Principle
Here is another version of proof of Maupertuis's principle. This version is pure Hamiltonian and independent of the Lagrangian approach.The proof…

When Simple Geometry Unveils Deep Math
Introduction
It is a remarkable fact that consideration of very elementary concepts in geometry often leads quickly into deep and unexpected mathematical…

Mathematical Irrationality for Dummies
On one of my restless wanderings around the Internet, I came upon a collection of proofs of the statement that the square root of 2 is an irrational…

Proofs in Mathematics: Methods, Examples, and How to Write Them
A mathematical proof is a logical argument, built only from definitions, axioms, and previously established results, that shows a statement is true in…
