A Treatise on the Binomial Theorem

"A Treatise on the Binomial Theorem" is a brilliant work of mathematics by the young James Moriarty, the evil archenemy of the detective Sherlock Holmes in the fiction of Arthur Conan Doyle. The treatise is mentioned in the novel "The Final Problem", when Holmes, speaking of Professor Moriarty, states:

:He is a man of good birth and excellent education, endowed by nature with a phenomenal mathematical faculty. At the age of twenty-one he wrote a treatise upon the binomial theorem, which has had a European vogue. On the strength of it he won the mathematical chair at one of our smaller universities, and had, to all appearances, a most brilliant career before him.

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 review it. This is a very different branch of mathematics from the Binomial Theorem, again showing his impressive intellectual prowess.

The "smaller university" involved is sometimes claimed to be one of the collegesthat later comprised the University of Leeds. [Bowers, John F., [http://www.newscientist.com/article/mg12416962.200.html "James Moriarty: A Forgotten Mathematician"] , December 23, 1989, "New Scientist"]

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. Science Fiction writer Poul Anderson, for example, 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 [http://www.cs.uu.nl/docs/vakken/oia/gv/parasol/referee-form.sample.pdf an example review] of a computer science paper (in PDF format).]

Other references

In "The Seven-Per-Cent Solution", a Holmes pastiche by Nicholas Meyer, Moriarty in conversation with Watson denies any treatise on the binomial theorem, saying: "Certainly not. Who has anything new to say about the binomial theorem at this late date? At any rate, I am certainly not the man to know."

In "Sherlock Holmes: The Unauthorized Biography", a book by Nick Rennison, the "smaller university" is said to be Durham.

External links

* [http://www.schoolandholmes.com/canonpubs.html A list] of many references to this work, as well as to other works of Moriarty's such as "The Dynamics of an Asteroid".

References