Mathematics Resources

Mathematics resources are provided below.

Maths Degree Lecture Courses

Open University Mathematics Courses — from the 1970s to the 1990s

MIT OpenCourseWare Mathematics Courses — from the 1960s to the 2020s

A popular lecture series, by the London Mathematical Society — recorded between 1986 and 1997 inclusive

A lecture course on Linear Algebra, by Gilbert Strang — taught at MIT in the USA in Spring 2005

A lecture course on Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, by Gilbert Strang — taught at MIT in the USA in Spring 2018

Number theory resources

The On-Line Encyclopedia of Integer Sequences

The PrimePages – Prime number research, records, and resources

A Bibliography of Bernoulli Numbers – More than 2900 entries

The Number Theory Web – What’s new in the world of number theory

Pi resources

Article on pi

Wolfram MathWorld article on pi

Open University programme from 1986 on defining pi and e

Open University programme from 1987 on calculating pi

Article on William Jones, who introduced the symbol π for pi in 1706

The “Feynman point”, a sequence of six consecutive 9’s in the decimal expansion of pi, beginning at the 762nd decimal place

The Indiana pi bill of 1897, a farcical attempt to establish mathematical truth by legislative fiat, including defining pi as 3.2

Chronology of computation of pi

Approximations of pi

Gregory-Leibniz formula for pi

Machin-like formulae for pi

Gauss–Legendre algorithm, for rapid computation of pi using an iterative algorithm

Chudnovsky algorithm, for rapid computation of pi using an infinite series

1992 article on the Chudnovksy brothers’ record computation of pi

Bailey–Borwein–Plouffe formula (BBP formula), for extraction of digits of pi

List of formulae involving pi

A proof that pi is irrational

Proofs that pi is irrational

Lindemann–Weierstrass theorem, from which the transcendence of pi follows

Sequence of decimal digits of pi

Sequence of binary (base 2) digits of pi

Sequence of ternary (base 3) digits of pi

Sequence of hexadecimal (base 16) digits of pi

Sequence of sexagesimal (base 60) digits of pi

Lists of pi decimal digits

Website for searching the digits of pi

Article on piphilology, the art of using mnemonic techniques to remember many digits

Article on Pilish, a form of constrained writing in which the lengths of consecutive words or sentences match the digits of pi

Website of Michael Keith, author of long texts in Pilish

Cadaeic Cadenza, a 1996 short story in Pilish by Michael Keith

Article on Pi Day

Professor Lesser’s Pi Day page

Other useful resources

List of Mathematical Quotations on the MacTutor online resource for mathematics

Wolfram MathWorld — a huge online encyclopedia of mathematics, with graphs, animations, etc.

The two hundred greatest mathematicians of all time – Biographies of two hundred influential mathematicians

Mathematrix – a website with mathematical recreations

A proof that e is irrational

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