Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics

Derbyshire, John

ISBN 10: 0452285259 / ISBN 13: 9780452285255

Published by Plume Book, 2004

About this Item

Thicker trade paperback, glossy green and white wrappers with designs in background, small photo at top front left, 422 pages, formulas throughout. Praise on back wrapper from Scientific American, National Review, Christian Science Monitor. Light wear to bottom front tip, very slight wear at spine bottom left and right corner with very tiny tear. Very Good. Seller Inventory # 52318

Bibliographic Details

Title: Prime Obsession: Bernhard Riemann and the ...

Publisher: Plume Book

Publication Date: 2004

Binding: Trade Paperback

Condition: Very Good

Edition: First Edition

About this title

Synopsis:

The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challege the world.

In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled  “On the Number of Prime Numbers Less Than a Given Quantity.”  Today, after 150 years of careful research and exhaustive study, the Riemann Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it.

Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

Review:

Bernhard Riemann was an underdog of sorts, a malnourished son of a parson who grew up to be the author of one of mathematics' greatest problems. In Prime Obsession, John Derbyshire deals brilliantly with both Riemann's life and that problem: proof of the conjecture, "All non-trivial zeros of the zeta function have real part one-half." Though the statement itself passes as nonsense to anyone but a mathematician, Derbyshire walks readers through the decades of reasoning that led to the Riemann Hypothesis in such a way as to clear it up perfectly. Riemann himself never proved the statement, and it remains unsolved to this day. Prime Obsession offers alternating chapters of step-by-step math and a history of 19th-century European intellectual life, letting readers take a breather between chunks of well-written information. Derbyshire's style is accessible but not dumbed-down, thorough but not heavy-handed. This is among the best popular treatments of an obscure mathematical idea, inviting readers to explore the theory without insisting on page after page of formulae.

In 2000, the Clay Mathematics Institute offered a one-million-dollar prize to anyone who could prove the Riemann Hypothesis, but luminaries like David Hilbert, G.H. Hardy, Alan Turing, André Weil, and Freeman Dyson have all tried before. Will the Riemann Hypothesis ever be proved? "One day we shall know," writes Derbyshire, and he makes the effort seem very worthwhile. --Therese Littleton