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VISIONS OF INFINITY

THE GREAT MATHEMATICAL PROBLEMS

Stewart’s imaginative, often-witty anecdotes, analogies and diagrams succeed in illuminating many but not all of some very...

An aggressively unsimplified account of 14 great problems, emphasizing how mathematicians approached but did not always solve them.

Fermat’s Last Theorem, 350 years old and solved by Andrew Wiles in 1995, produced headlines because laymen were amazed that mathematicians could make new discoveries. In fact, mathematics is as creative as physics, writes prolific popularizer Stewart (Mathematics Emeritus/Univ. of Warwick; The Mathematics of Life, 2011): “Mathematics is newer, and more diverse, than most of us imagine.” Goldbach’s Conjecture—that every even number can be written as the sum of two prime numbers (250 years old, probably true but not proven)—provides the background for a chapter on the unruly field of prime numbers: those divisible only by one and itself (3, 5, 7, 11, 13…). Squaring the Circle—constructing a square with an area identical to a given circle (2,500 years old; proven impossible)—introduces pi. Schoolchildren learn that pi is the ratio of the circumference of a circle to its diameter, but it’s a deeply important number that turns up everywhere in mathematics. Most readers know that Newton’s laws precisely predict motions of two bodies, but few know that they flop with three. The Three-body Problem (330 years old, unsolved) continues to worry astronomers since it hints that gravitational forces among three or more bodies may be unstable, so the planets may eventually fly off.

Stewart’s imaginative, often-witty anecdotes, analogies and diagrams succeed in illuminating many but not all of some very difficult ideas. It will enchant math enthusiasts as well as general readers who pay close attention.

Pub Date: March 1, 2013

ISBN: 978-0-465-02240-3

Page Count: 320

Publisher: Basic Books

Review Posted Online: Dec. 10, 2012

Kirkus Reviews Issue: Jan. 1, 2013

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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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TO THE ONE I LOVE THE BEST

EPISODES FROM THE LIFE OF LADY MENDL (ELSIE DE WOLFE)

An extravaganza in Bemelmans' inimitable vein, but written almost dead pan, with sly, amusing, sometimes biting undertones, breaking through. For Bemelmans was "the man who came to cocktails". And his hostess was Lady Mendl (Elsie de Wolfe), arbiter of American decorating taste over a generation. Lady Mendl was an incredible person,- self-made in proper American tradition on the one hand, for she had been haunted by the poverty of her childhood, and the years of struggle up from its ugliness,- until she became synonymous with the exotic, exquisite, worshipper at beauty's whrine. Bemelmans draws a portrait in extremes, through apt descriptions, through hilarious anecdote, through surprisingly sympathetic and understanding bits of appreciation. The scene shifts from Hollywood to the home she loved the best in Versailles. One meets in passing a vast roster of famous figures of the international and artistic set. And always one feels Bemelmans, slightly offstage, observing, recording, commenting, illustrated.

Pub Date: Feb. 23, 1955

ISBN: 0670717797

Page Count: -

Publisher: Viking

Review Posted Online: Oct. 25, 2011

Kirkus Reviews Issue: Feb. 1, 1955

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