Monthly Archives: August 2014

Modular functions and Elliptic curves – Taniyamma and Weil

These are photographs of my notes showing the many connections that must be appreciated to have an overview of the Taniyamma and Weil conjecture about elliptic curves defined over Q. The first image shows the A3 sheets arranged in order … Continue reading

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The St Petersburg School of Number Theory

Pafnuty Lvovich Chebyshev (1821-1894) often asserted that the excessive effort needed to read other’s work affected the independence of his own ideas negatively. Chebyshev’s work on the precise distribution of primes in the sequence of natural numbers was considered the … Continue reading

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Numbers and numeracy in Chinese culture and education

What follows, in no particular order, is a list of facts and characteristics to stimulate thought about the Chinese use of numbers and numeracy. There are still echoes of the early methods of numerology and divination in popular culture. Symbolic … Continue reading

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Developments in Infinity (2) – Jainism

Photo of a Jaina, Madhya Praddesh, 1000 – 1100 CE, Ashmolean museum, Oxford Ancient Sanskrit texts reflect a remarkable breadth of imagination in dealing with numerical concepts. Their different types of numbers, enurable (samkhyeya), innumerable (asamkhyeya) and infinite (ananta) were … Continue reading

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Russian mathematics and mathematics education: a tradition of involvement

Between the 10th C and the 17th C the vast majority of educational texts in Russia were mathematical. These disseminated the methods of Indo-Arabic numeration. The texts contained ‘artificial’ rules such as the ‘rule of three’ that was introduced into … Continue reading

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Art full mathematics

The works of an artist are not intended to transmit messages, but to open spaces for personal transformations. This contrasts with those visual and auditory products that are only intended to represent; photographic snap shots and recorded radio interviews. An … Continue reading

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