Tag Archives: Number theory

The Notorious Collatz conjecture

Terence Tao has uploaded his slides on the Collatz conjecture (targeted at high school students): https://terrytao.files.wordpress.com/2020/02/collatz.pdf A very enjoyable read indeed. The best “encyclopedic” reference on the Collatz conjecture is the one listed below, published by the American Math Society. … Continue reading

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Holder’s Inequality for Lp Spaces

These are two excellent videos explaining Holder’s Inequality for Lp Spaces: Featured book: Divine Proportions: Rational Trigonometry to Universal Geometry This revolutionary book establishes new foundations for trigonometry and Euclidean geometry. It shows how to replace transcendental trig functions with … Continue reading

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Dissecting The Riemann Zeta Function

Originally posted on PERPETUAL ENIGMA:
The Riemann Zeta function is an extremely important special function of mathematics and physics. It is intimately related with very deep results surrounding the prime numbers. Now why would we want to care about prime…

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Carl Friedrich Gauss

Source: http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss Johann Carl Friedrich Gauss (/ɡaʊs/; German: Gauß, pronounced [ɡaʊs] ( listen); Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, algebra, statistics, … Continue reading

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Gotthold Eisenstein (Mathematician)

Gotthold Eisenstein (Mathematician) *Not Einstein! Ferdinand Gotthold Max Eisenstein (16 April 1823 – 11 October 1852) was a German mathematician. He specialized in number theory and analysis, and proved several results that eluded even Gauss. Like Galois and Abel before … Continue reading

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Number Theory Notes – Art of Problem Solving

Source: http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Excellent notes on Olympiad Number Theory! Preface: This set of notes on number theory was originally written in 1995 for students at the IMO level. It covers the basic background material that an IMO student should be familiar … Continue reading

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Fermat’s Last Theorem

BBC Horizon programme. Simon Singh’s moving documentary of Andrew Wiles’ extraordinary search for the most elusive proof in number theory.

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