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A Treatise on the Binomial Theorem
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A Treatise on the Binomial Theorem : ウィキペディア英語版
A Treatise on the Binomial Theorem
''A Treatise on the Binomial Theorem'' is a fictional work of mathematics by the young Professor James Moriarty, the criminal mastermind and archenemy of the detective Sherlock Holmes in the fiction of Arthur Conan Doyle. The actual title of the treatise is never given in the stories; Holmes simply refers to "a treatise upon the binomial theorem." The treatise is mentioned in the short story "The Final Problem", when Holmes, speaking of Professor Moriarty, states:
Moriarty was a versatile mathematician as well as a criminal mastermind. In addition to the ''Treatise'', he wrote the book ''The Dynamics of an Asteroid'', containing mathematics so esoteric that no one could even review it. This is a very different branch of mathematics from the Binomial Theorem, again showing his impressive intellectual prowess.
The "smaller university" involved has been claimed to be one of the colleges
that later comprised the University of Leeds.〔Bowers, John F., ("James Moriarty: A Forgotten Mathematician" ), December 23, 1989, ''New Scientist''〕 However, in ''Sherlock Holmes: The Unauthorized Biography'', the "smaller university" is said to be Durham.〔Nick Rennison, (Sherlock Holmes: The Unauthorized Biography ), p. 68〕
== Review and discussion ==
Doyle, in his works, never describes the contents of the treatise. This has not stopped people from speculating on what it might have contained. Davis, in the book ''The Summation of Series'', attributes certain binomial identities to Moriarty.〔, p 71.〕 These have been expanded on in further work, firmly tying ''Treatise'' into the standard mathematical literature. Less formal depictions of the content are also available. For example, science fiction writer Poul Anderson wrote about the treatise for the ''Baker Street Journal''.〔Anderson, Poul. (A Treatise on the Binomial Theorem ), ''Baker Street Journal'', 5, No. 1 (January 1955), 13-18.〕
''Treatise'' is sometimes used when a reference is needed to a non-specific example of a scientific paper.〔This is the case in (an example review ) of a computer science paper (in PDF format).〕

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