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MATH WITHOUT NUMBERS

A pleasant, amusing look at mathematics as a description of everything.

A math prodigy examines how mathematicians view the world.

Math enthusiasts have a spotty record explaining their favorite subject to a popular audience, even when they exert themselves to hold attention with calculating tricks, paradoxes, or illusions. Beckman, who entered Harvard at age 15, eschews them all, maintaining that everything—“plants, love, music, everything”—can be understood in terms of math and proceeds to explain how mathematicians try. They love to overthink things. “We take some concept everyone understands on a basic level, like symmetry or equality, and pick it apart, trying to find a deeper meaning in it.” His first example is a simple concept: shape. By the mathematical definition, a square and a circle have the same shape, but a figure 8 is different. It turns out that thinking about shapes is a major field of study called topology. Beckman admits that this has no practical significance, but it’s odd and interesting, and most readers will agree. There seems little to say about infinity, but this turns out to be wrong and pleasantly bizarre. If you remove any number of marbles from a bag containing infinite marbles, what’s left is still infinite. Adding one or 1 trillion—still exactly infinite. Infinity times infinity…the same. Is any quantity more than infinity? Yes; it’s called the continuum, and Beckman offers a fairly clear explanation. Ultimately, the author argues that math is not about numbers or equations but models. A model breaks down phenomena into specific rules that, when applied, explain it. A few simple rules produce a quasi-game remarkably similar to Darwinian natural selection. Beckman concludes with a model of an empty space containing 17 particles that follow well-defined if absurd rules, but the end result is the “standard model,” physicists’ best interpretation of how the universe operates.

A pleasant, amusing look at mathematics as a description of everything.

Pub Date: Oct. 27, 2020

ISBN: 978-1-5247-4554-7

Page Count: 224

Publisher: Dutton

Review Posted Online: June 12, 2020

Kirkus Reviews Issue: July 15, 2020

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THE ELEPHANTS OF THULA THULA

A heartwarming and inspiring story for animal lovers.

The third volume in the Elephant Whisperer series.

In this follow-up to An Elephant in My Kitchen, Malby-Anthony continues her loving portrait of the Thula Thula wildlife reserve, which she co-founded in 1998 with her late husband, South African conservationist Lawrence Anthony, who published the first book in the series, The Elephant Whisperer, in 2009. Following his death in 2012, Malby-Anthony sought to honor his legacy by continuing his vision “to create a massive conservancy in Zululand, incorporating our land and other small farms and community land into one great big game park.” At the same time, the elephants gave her “a sense of purpose and direction.” In the Zulu language, thula means quiet, and though the author consistently seeks to provide that calm to her charges, peace and tranquility are not always easy to come by at Thula Thula. In this installment, Malby-Anthony discusses many of the challenges faced by her and her staff, particularly during the Covid-19 pandemic. These included an aggressive, 2-ton rhino named Thabo; the profound loss felt by all upon the death of their elephant matriarch, Frankie; difficulty obtaining permits and the related risk of having to relocate or cull some of their animals; the fear of looting and fire due to civil unrest in the region; and the ongoing and potentially deadly struggles with poachers. Throughout, the author also shares many warm, lighthearted moments, demonstrating the deep bond felt among the humans and animals at the reserve and the powerful effects of the kindness of strangers. “We are all working in unity for the greater good, for the betterment of Thula Thula and all our wildlife….We are humbled by the generosity and love, both from our guests and friends, and from strangers all around the world,” writes the author. “People’s open-hearted support kept us alive in the darkest times.”

A heartwarming and inspiring story for animal lovers.

Pub Date: April 25, 2023

ISBN: 9781250284259

Page Count: 320

Publisher: St. Martin's

Review Posted Online: Feb. 22, 2023

Kirkus Reviews Issue: March 15, 2023

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IS A RIVER ALIVE?

Are rivers alive? Macfarlane delivers a lucid, memorable argument in the affirmative.

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The accomplished British nature writer turns to issues of environmental ethics in his latest exploration of the world.

In 1971, a law instructor asked a musing-out-loud question: Do trees have legal standing? His answer was widely mocked at the time, but it has gained in force: As Macfarlane chronicles here, Indigenous groups around the world are pressing “an idea that changes the world—the idea that a river is alive.” In the first major section of the book, Macfarlane travels to the Ecuadorian rainforest, where a river flows straight through a belt of gold and other mineral deposits that are, of course, much desired; his company on a long slog through the woods is a brilliant mycologist whose research projects have led not just to the discovery of a mushroom species that “would have first flourished on the supercontinent [of Gondwana] that formed over half a billion years ago,” but also to her proposing that fungi be considered a kingdom on a footing with flora and fauna. Other formidable activists figure in his next travels, to the great rivers of northern India, where, against the odds, some courts have lately been given to “shift Indian law away from anthropocentrism and towards something like ecological jurisprudence, underpinned by social justice.” The best part of the book, for those who enjoy outdoor thrills and spills, is Macfarlane’s third campaign, this one following a river in eastern Canada that, as has already happened to so many waterways there, is threatened to be impounded for hydroelectric power and other extractive uses. In delightfully eccentric company, and guided by the wisdom of an Indigenous woman who advises him to ask the river just one question, Macfarlane travels through territory so rugged that “even the trout have portage trails,” returning with hard-won wisdom about our evanescence and, one hopes, a river’s permanence and power to shape our lives for the better.

Are rivers alive? Macfarlane delivers a lucid, memorable argument in the affirmative.

Pub Date: May 20, 2025

ISBN: 9780393242133

Page Count: 374

Publisher: Norton

Review Posted Online: March 8, 2025

Kirkus Reviews Issue: April 1, 2025

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