Mathematical gems of Debrecen old mathematical textbooks from the 16-18th centuries

Six mathematical gems from the history of distance geometry

This is a partial account of the fascinating history of Distance Geometry. We make no claim to completeness, but we do promise a dazzling display of beautiful, elementary mathematics. We prove Heron’s formula, Cauchy’s theorem on the rigidity of polyhedra, Cayley’s generalization of Heron’s formula to higher dimensions, Menger’s characterization of abstract semi-metric spaces, a result of Gödel...

Why the Structure Encountered in Mathematical Textbooks Is Adequate Also for Automated Theorem Proving 2 Learning from Mathematical Textbooks Workshop on Representation of Mathematical Knowledge Edited

Successful application of deduction systems in practice depends (besides other factors) on whether the huge sets of formulae encountered in mathematical knowledge bases can be eeciently maintained. This does not only apply to the eld of mathematics itself, but is crucial in hard-and software-veriication as well. The complexity induced by thousands of formulae (axioms, deenitions, theorems and l...

Mathematical Statistics Old School

conics in mathematical textbooks of contemporary educational system of iran

conics or the science of conic sections is one of the highest theoretical topics of geometry in classical antiquity and the middle ages. it was also studied for its practical applications. in this paper, we first present a short history of conics in antiquity and the islamic civilization, then we show how this discipline was introduced in persian textbooks in the qajar period and a little after...

Functions of Interactive Visual Representations in Interactive Mathematical Textbooks

The paper explores changes in technology that have implications for the teaching and learning of school mathematics. To this end, it examines aspects of interactive mathematical textbooks, specifically of functions designed to be carried out by embedded interactive diagrams. The paper analyzes theoretical as well as practical lessons that I learned while designing such a book. It is the purpose...