A sharp, witty book to press on students and even the teachers of math teachers.
An original book using recipes to explain sophisticated math concepts to students and even the math-phobic.
In a chapter on generalization, Cheng (Mathematics/Univ. of Sheffield and Univ. of Chicago) begins with a recipe she adapted to produce a cake that was vegan as well as gluten-, sugar-, and dairy-free, thus extending the recipe’s usefulness to serve more people. A chapter on axiomatization describes the difference between basic ingredients and things you can make with basic ingredients (e.g., marmalade). Math uses basic ingredients—axioms—that are assumed to be true and proofs that use hard logic to derive new truths. That’s what math is all about, writes the author; it is different from science, which gathers evidence to draw conclusions. By this time, Cheng has introduced readers to number systems, groups and sets, algebra, and topology. She also discusses internal vs. external motivation. In cooking, this is the difference between looking at what is on the shelves and figuring out how to use it in a recipe you invent (internal motivation) versus having a recipe in mind and gathering all the ingredients you need to make it (external). The author laments the way math is often taught, with the teacher providing a problem to solve and students finding the correct answer. She is strongly internally motivated in the pursuit of her specialty, category theory. She calls it the mathematics of mathematics, a field that seeks the most abstract generalizable concepts in relation to the worlds of mathematical objects. Cheng explains how category theory works by emphasizing contexts, relationships, structure, and universal properties, giving examples. The reading is tougher going here, probably because readers are in a state she describes as believing what she is teaching but not fully understanding it. However, Cheng is such a gifted teacher, readers will want to dive in again.
A sharp, witty book to press on students and even the teachers of math teachers.Pub Date: May 5, 2015
ISBN: 978-0-465-05171-7
Page Count: 304
Publisher: Basic Books
Review Posted Online: March 2, 2015
Kirkus Reviews Issue: March 15, 2015
BOOK REVIEW
BOOK REVIEW
BOOK REVIEW
An autobiography as toxic and addictive as any drug its author has ever ingested.
The legendary booze-addled metal rocker turned reality-TV star comes clean in his tell-all autobiography.
Although brought up in the bleak British factory town of Aston, John “Ozzy” Osbourne’s tragicomic rags-to-riches tale is somehow quintessentially American. It’s an epic dream/nightmare that takes him from Winson Green prison in 1966 to a presidential dinner with George W. Bush in 2004. Tracing his adult life from petty thief and slaughterhouse worker to rock star, Osbourne’s first-person slang-and-expletive-driven style comes off like he’s casually relating his story while knocking back pints at the pub. “What you read here,” he writes, “is what dribbled out of the jelly I call my brain when I asked it for my life story.” During the late 1960s his transformation from inept shoplifter to notorious Black Sabbath frontman was unlikely enough. In fact, the band got its first paying gigs by waiting outside concert venues hoping the regularly scheduled act wouldn’t show. After a few years, Osbourne and his bandmates were touring America and becoming millionaires from their riff-heavy doom music. As expected, with success came personal excess and inevitable alienation from the other members of the group. But as a solo performer, Osbourne’s predilection for guns, drink, drugs, near-death experiences, cruelty to animals and relieving himself in public soon became the stuff of legend. His most infamous exploits—biting the head off a bat and accidentally urinating on the Alamo—are addressed, but they seem tame compared to other dark moments of his checkered past: nearly killing his wife Sharon during an alcohol-induced blackout, waking up after a bender in the middle of a busy highway, burning down his backyard, etc. Osbourne is confessional to a fault, jeopardizing his demonic-rocker reputation with glib remarks about his love for Paul McCartney and Robin Williams. The most distinguishing feature of the book is the staggering chapter-by-chapter accumulation of drunken mishaps, bodily dysfunctions and drug-induced mayhem over a 40-plus-year career—a résumé of anti-social atrocities comparable to any of rock ’n’ roll’s most reckless outlaws.
An autobiography as toxic and addictive as any drug its author has ever ingested.Pub Date: Jan. 25, 2010
ISBN: 978-0-446-56989-7
Page Count: 320
Publisher: Grand Central Publishing
Review Posted Online: May 19, 2010
Kirkus Reviews Issue: Dec. 1, 2009
IN THE NEWS
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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