Category Archives: Mathematics

A Computational Introduction to Number Theory and Algebra by Victor Shoup

A Computational Introduction to Number Theory and Algebra ‘A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. The book (now in its second edition) is published by Cambridge University Press. It can … Continue reading

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An Interview with Neil Sloane the Creator of the Online Encyclopedia of Integer Sequences

‘Neil Sloane is considered by some to be one of the most influential mathematicians of our time. That’s not because of any particular theorem the 75-year-old Welsh native has proved, though over the course of a more than 40-year research … Continue reading

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From Coding Tonic: Depth First Search (DFS) – Graphs

I am working on a project in which I have to traverse an undirected, simple, irregular, graph. There are two ways to accomplish this: depth first search and breadth first search. While the wikipedia articles in the links provide pseudocodes … Continue reading

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From Quanta Magazine: Will Computers Redefine the Roots of Math?

“Will Computers Redefine the Roots of Math?” is an article about Vladimir Voevodsky’s quest to rewrite math using type theory instead of set theory to facilitate using computers to check proofs. ‘Voevodsky pulled out his laptop and opened a program … Continue reading

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Playing with continued fractions and Khinchin’s constant by John Cook

‘Take a real number x and expand it as a continued fraction. Compute the geometric mean of the first n coefficients. Aleksandr Khinchin proved that for almost all real numbers x, as n → ∞ the geometric means converge. Not … Continue reading

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Higher Transcendental Functions – Bateman Manuscript Project

The compendium of special functions started by Harry Bateman and completed after his death is available in three pdf files: Volume 1 Volume 2 Volume 3 From the preface:

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A Course of Modern Analysis by Whittaker and Watson

There are two efforts to create electronic copies of the classic text A Course of Modern Analysis by Whittaker and Watson. Note that neither project has been completed. 1. Eric Nitardy ‘As an experiment,[3] I am transcribing for the web … Continue reading

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