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INFINITE POWERS

HOW CALCULUS REVEALS THE SECRETS OF THE UNIVERSE

An energetic effort that successfully communicates the author’s love of mathematics, if not the secrets of calculus itself.

A complex attempt to render calculus accessible.

Strogatz (Applied Mathematics/Cornell Univ.; The Joy of X: A Guided Tour of Math, from One to Infinity, 2013, etc.) emphasizes that “calculus is an imaginary realm of symbols and logic” that “lets us peer into the future and predict the unknown. That’s what makes it such a powerful tool for science and technology.” It works by breaking problems down into tiny parts—infinitely tiny—and then putting them back together. Breaking down is the work of differential calculus; putting together requires integral calculus. Early civilizations, including the Babylonians, Greeks, and Chinese, had no trouble measuring anything straight, including complex structures such as the icosahedron, but curves and movement caused problems. Thus, finding the area of a circle by converting it into a 10-sided polygon and measuring the polygon’s area yields a fair approximation. A 100-sided polygon gave a more accurate result. Perfection required a polygon with an infinite number of infinitely small sides, but dealing with infinity was particularly tricky. Invented in its modern version by Newton and Leibniz in the late 17th century, calculus solved the problem. Readers who pay close attention to Strogatz’s analogies, generously supplied with graphs and illustrations, may or may not see the light, but all will enjoy the long final section, which eschews education in favor of a history of modern science, which turns out to be a direct consequence of this mathematics. The best introduction to calculus remains a textbook—Calculus Made Easy by Silvanus P. Thompson—published in 1910 and, amazingly, still in print. Readers who dip into Thompson will understand Strogatz’s enthusiasm. His own explanations will enlighten those with some memory of high school calculus, but innumerate readers are likely to remain mystified.

An energetic effort that successfully communicates the author’s love of mathematics, if not the secrets of calculus itself.

Pub Date: April 2, 2019

ISBN: 978-1-328-87998-1

Page Count: 384

Publisher: Houghton Mifflin Harcourt

Review Posted Online: Dec. 18, 2018

Kirkus Reviews Issue: Jan. 15, 2019

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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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