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THE ARTIST AND THE MATHEMATICIAN

THE STORY OF NICOLAS BOURBAKI, THE GENIUS MATHEMATICIAN WHO NEVER EXISTED

A fascinating topic, despite the author’s sometimes plodding approach.

The greatest mathematician of the 20th century was actually a committee.

Science popularizer Aczel (Chance, 2004, etc.) begins with a mystery: the voluntary disappearance in 1991 of Alexandre Grothendieck, a leading French mathematician. The author surveys Grothendieck’s childhood in a concentration camp in Nazi-occupied France, then shifts to the careers of several other French mathematicians active before WWII. The common thread in their lives is Nicolas Bourbaki, a fictional mathematician under whose name the most influential work of the modern era was published. Bourbaki was, in reality, a group that first met in December 1934 in Paris, believing that math needed to be rebuilt from its foundations, starting with the fundamentals of set theory. Although there were always acknowledged leaders, beginning with André Weil, decisions were made collectively. Bourbaki’s members shouted each other down and argued vehemently over every detail of the work in progress. Miraculously, this chaotic methodology produced brilliant results. Bourbaki’s insistence on rigor and its emphasis on structure revolutionized the way math was taught. The “new math” that swept through schools in the 1960s was a Bourbaki creation. Likewise, as Aczel points out at length, the “structural” movement in philosophy, science and the arts derives from the Bourbaki approach, especially as adopted by Claude Lévi-Strauss, to whom Weil taught the mathematics that would underpin his anthropological studies. For four decades, the best young French—and, increasingly, foreign—mathematicians were recruited into the group, and its influence was unmatched. Grothendieck, most brilliant of the latter-day members, eventually took math beyond the reach of set theory, at which point he left Bourbaki, and the group began its decline. But as Aczel shows, it had left an indelible stamp on mathematics and on the world at large.

A fascinating topic, despite the author’s sometimes plodding approach.

Pub Date: Oct. 10, 2006

ISBN: 1-56025-931-0

Page Count: 272

Publisher: N/A

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: Aug. 1, 2006

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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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THE ELEMENTS OF STYLE

50TH ANNIVERSARY EDITION

Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis...

Privately published by Strunk of Cornell in 1918 and revised by his student E. B. White in 1959, that "little book" is back again with more White updatings.

Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis (whoops — "A bankrupt expression") a unique guide (which means "without like or equal").

Pub Date: May 15, 1972

ISBN: 0205632645

Page Count: 105

Publisher: Macmillan

Review Posted Online: Oct. 28, 2011

Kirkus Reviews Issue: May 1, 1972

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