Monday, December 21, 2009

Fictional Mathematics Papers

E. Wiltshire, N. Rangathan, Q. J. X. Thuyere: Why the Riemann Hypothesis took so Long To Prove, Cruithne Journal of Mathematics Vol. 18 pps 334-540. August 2781. Discusses the history of mathematics from the beginnings of the Riemann hypothesis to the controversial (but finally vindicated) proof by Frontega, Mueller, and Gissflon. Recounts the infamous development of differential category theory, X-matrix decompositions, toric eigengerbes, and Ulk Thuntek's kappa functor which are necessary ingredients to the proof. The first thirty pages are mostly biographical in nature, while the rest of the article concentrates on the proof, and what FM&G call 'myopias', various mathematical alleys and bottlenecks which delayed the proof for so long. The last fourty pages of the article are extremely technical, and discuss things like "Nevanlinna-Mandelbrot correspondences", "Ramunajan-Grothendieck catalogues" and other esoterica. Four stars.

N. J. Teltshmire, A. F. Yquem, C. A. Vandersmeck, I. H. K. Malgreave: The Disasters of 25th Century Mathematics: A Retrospective. Vaz-Mundgram Journal of Mathematics Vol 21. pps 1560-1620. September 2781. If 25th century mathematics can be remembered for anything, it was a series of complicated missteps that in retrospective were really hard to avoid. Bandymire and Zhu Chu Shi's relentless stream of counterexamples to conjectures published in major mathematical journals for the first twenty years of the century made everyone on sour feet, but when such powerhouses as George Wax and Fryme kept up the tradition after Bandymire and Zhu Chu Shi retired, it seemed that making any real progress would be impossible. Also discusses to a limited degree the successes of 25th century mathematics: the seminal paper in 2452 by Yratz-Gauthome about knot pleuromorphisms definitely seemed to offer an amazing way of immediately classifying a knot, and that was confirmed by Fryme. Mostly readable. Three stars.

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