teaching of elementary mathematics

“The human mind is so constructed that it must see every perception in a time-relation—in an order—and every perception of an object in a space-relation—as outside or beside our perceiving selves. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra. These necessary space-relations are reducible … Continue reading teaching of elementary mathematics

online book: Mathematical Excursions to the World’s Great Buildings

(345 pages) Here is the link. This book contains an introduction to Calculus, and a Glossary of Architectural Terms. Chapter Headings 1. Humanity Awakening: Sensing Form and Creating Structures 2. Greek Geometry and Roman Engineering 3. Architecture Inspired by Faith 4. Transmission of Mathematics and Transition in Architecture 5. The Renaissance: Architecture and the Human … Continue reading online book: Mathematical Excursions to the World’s Great Buildings

Fermat’s polygonal number theorem

Here is the link to the Wikipedia article on this topic. Note that Lagrange’s four-square theorem is a special case of Fermat’s polygonal number theorem. keywords: [Mathematics] [Number Theory] [b^2 < 4a] [3a < b^2 + 2b + 4] see also: [‘regular’ polygonal numbers] [n-gonal numbers] [additive basis of order n]

polygonal numbers

Here is the link to the Wikipedia article on this topic. aka ‘regular polygonal numbers’, since ‘centered’ polygonal numbers also exist. keywords: [Mathematics] [Number Theory] [backronym] see also: [centered polygonal numbers]