Wikipedia.org/wiki/Bayesian. 'Bayesianism is the philosophical tenet that the mathematical theory of probability applies to the degree of plausibility of statements, or to the degree of belief of rational agents in the truth of statements; when used with Bayes theorem, it then becomes Bayesian inference. This is in contrast to frequentism, which rejects degree-of-belief interpretations of mathematical probability, and assigns probabilities only to random events according to their relative frequencies of occurrence. The Bayesian interpretation of probability allows probabilities assigned to random events, but also allows the assignment of probabilities to any other kind of statement. Whereas a frequentist and a Bayesian might both assign probability 1/2 to the event of getting a head when a coin is tossed, only a Bayesian might assign probability 1/1000 to personal belief in the proposition that there was life on Mars a billion years ago, without intending to assert anything about any relative frequency.'
Fibonacci numbers, the Golden section and the Golden string. The Fibonacci series, discovered by Leonardo Fibonacci in 1202, is where each number is the sum of the preceding 2 numbers: 0, 1, 1, 2, 3, 5, 8, 13, .... The neat thing is that the Fibonacci series is related to the Golden section, the Golden string, and occurs in nature. EG: Nautilus shells and cauliflowers.
Euclidean plane isometry. Translations, Rotations, Reflections, and Glide Reflections. This is in essence a truth table of whether an isometry has some combination of preserving hands and has a fixed point.
'The Ethnomathematics Digital Library (EDL) ... is a resource network and interactive learning community for ethnomathematics, with emphasis on the indigenous mathematics of the Pacific region.'
Although we often view mathematics as objective, our view on mathematics is also inevitably colored by our culture.
'The Math Forum [at Drexel University] is a leading center for mathematics and mathematics education on the Internet. The Math Forum's mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world.'
'An unusual and attractive edition of Euclid was published in 1847 in England, edited by an otherwise unknown mathematician named Oliver Byrne. It covers the first 6 books of Euclid, which range through most of elementary plane geometry and the theory of proportions. What distinguishes Byrne's edition is that he attempts to present Euclid's proofs in terms of pictures, using as little text - and in particular as few labels - as possible. What makes the book especially striking is his use of colour.'
Beautiful.
PlanetMath.org. 'PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members. '
Research.att.com/~njas/sequences/Seis.html. 'On-Line Encyclopedia of Integer Sequences ... The main purpose is to allow mathematicians or other scientists to find out if some sequence that turns up in their research has ever been seen before.'