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THE MUSIC OF THE PRIMES

SEARCHING TO SOLVE THE GREATEST MYSTERY IN MATHEMASTICS

A must for math buffs.

A Royal Society research fellow takes the Riemann Hypothesis, reputedly the most difficult of all math problems, as the focus for his lively history of number theory.

Du Sautoy (Mathematics/Oxford) begins in 1900 with German mathematician David Hilbert's famous address to the International Congress of Mathematicians in Paris, where Hilbert offered 23 unsolved problems as challenges to his colleagues. Among them was the Reimann Hypothesis, which concerns the distribution of prime numbers; it is the only one still unsolved. Greek mathematicians knew that the primes are infinite in number and distributed randomly in the set of natural numbers. Two centuries ago, Carl Friedrich Gauss offered a formula to estimate how many primes lie below any given number; in 1859, Gauss's student, Bernhard Riemann, refined that estimate, based on the incredibly complex Zeta function, but died without proving his hypothesis. With a minimum of equations and mathematical symbols, du Sautoy outlines the progress each succeeding generation has made on the problem. Along the way, readers meet G.H. Hardy and J.E. Littlewood, the twin beacons of the Cambridge math department between the world wars; Ramanujan, the self-taught Indian clerk who claimed that his ideas were given to him by his family goddess; and Atle Selberg, who survived the Nazi occupation of Norway to become a leading light at Princeton's Institute for Advanced Studies. Alan Turing, the father of modern computers, tried to devise a program to attack the Riemann Hypothesis; now the primes are the key to cryptography. A Boston businessman has offered a million-dollar reward for a proof, although few mathematicians seem to need additional incentive to tackle the Everest of mathematical problems. Du Sautoy keeps the story moving and gives a clear sense of the way number theory is played in his accessible text. (See Karl Sabbagh’s The Riemann Hypothesis, p. 369, which covers similar territory but spotlights current mathematicians searching for a Riemann proof.)

A must for math buffs.

Pub Date: May 1, 2003

ISBN: 0-06-621070-4

Page Count: 336

Publisher: HarperCollins

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: March 15, 2003

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DYLAN GOES ELECTRIC!

NEWPORT, SEEGER, DYLAN, AND THE NIGHT THAT SPLIT THE SIXTIES

An enjoyable slice of 20th-century music journalism almost certain to provide something for most readers, no matter one’s...

Music journalist and musician Wald (Talking 'Bout Your Mama: The Dozens, Snaps, and the Deep Roots of Rap, 2014, etc.) focuses on one evening in music history to explain the evolution of contemporary music, especially folk, blues, and rock.

The date of that evening is July 25, 1965, at the Newport Folk Festival, where there was an unbelievably unexpected occurrence: singer/songwriter Bob Dylan, already a living legend in his early 20s, overriding the acoustic music that made him famous in favor of electronically based music, causing reactions ranging from adoration to intense resentment among other musicians, DJs, and record buyers. Dylan has told his own stories (those stories vary because that’s Dylan’s character), and plenty of other music journalists have explored the Dylan phenomenon. What sets Wald's book apart is his laser focus on that one date. The detailed recounting of what did and did not occur on stage and in the audience that night contains contradictory evidence sorted skillfully by the author. He offers a wealth of context; in fact, his account of Dylan's stage appearance does not arrive until 250 pages in. The author cites dozens of sources, well-known and otherwise, but the key storylines, other than Dylan, involve acoustic folk music guru Pete Seeger and the rich history of the Newport festival, a history that had created expectations smashed by Dylan. Furthermore, the appearances on the pages by other musicians—e.g., Joan Baez, the Weaver, Peter, Paul, and Mary, Dave Van Ronk, and Gordon Lightfoot—give the book enough of an expansive feel. Wald's personal knowledge seems encyclopedic, and his endnotes show how he ranged far beyond personal knowledge to produce the book.

An enjoyable slice of 20th-century music journalism almost certain to provide something for most readers, no matter one’s personal feelings about Dylan's music or persona.

Pub Date: July 25, 2015

ISBN: 978-0-06-236668-9

Page Count: 368

Publisher: Dey Street/HarperCollins

Review Posted Online: May 15, 2015

Kirkus Reviews Issue: June 1, 2015

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NUTCRACKER

This is not the Nutcracker sweet, as passed on by Tchaikovsky and Marius Petipa. No, this is the original Hoffmann tale of 1816, in which the froth of Christmas revelry occasionally parts to let the dark underside of childhood fantasies and fears peek through. The boundaries between dream and reality fade, just as Godfather Drosselmeier, the Nutcracker's creator, is seen as alternately sinister and jolly. And Italian artist Roberto Innocenti gives an errily realistic air to Marie's dreams, in richly detailed illustrations touched by a mysterious light. A beautiful version of this classic tale, which will captivate adults and children alike. (Nutcracker; $35.00; Oct. 28, 1996; 136 pp.; 0-15-100227-4)

Pub Date: Oct. 28, 1996

ISBN: 0-15-100227-4

Page Count: 136

Publisher: Harcourt

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: Aug. 15, 1996

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