An exploration of mathematical style through 99 different proofs of
the same theorem This book offers a multifaceted perspective on
mathematics by demonstrating 99 different proofs of the same
theorem. Each chapter solves an otherwise unremarkable equation in
distinct historical, formal, and imaginative styles that range from
Medieval, Topological, and Doggerel to Chromatic, Electrostatic,
and Psychedelic. With a rare blend of humor and scholarly aplomb,
Philip Ording weaves these variations into an accessible and
wide-ranging narrative on the nature and practice of mathematics.
Inspired by the experiments of the Paris-based writing group known
as the Oulipo-whose members included Raymond Queneau, Italo
Calvino, and Marcel Duchamp-Ording explores new ways to examine the
aesthetic possibilities of mathematical activity. 99 Variations on
a Proof is a mathematical take on Queneau's Exercises in Style, a
collection of 99 retellings of the same story, and it draws
unexpected connections to everything from mysticism and technology
to architecture and sign language. Through diagrams, found
material, and other imagery, Ording illustrates the flexibility and
creative potential of mathematics despite its reputation for
precision and rigor. Readers will gain not only a bird's-eye view
of the discipline and its major branches but also new insights into
its historical, philosophical, and cultural nuances. Readers, no
matter their level of expertise, will discover in these proofs and
accompanying commentary surprising new aspects of the mathematical
landscape.
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