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WHAT'S THE USE?

HOW MATHEMATICS SHAPES EVERYDAY LIFE

Richly informative for careful readers who enjoy math.

If you believe mathematics offers little of practical use, Stewart is back to show you the error of your ways.

In the latest of his numerous books on his favorite subject, the acclaimed mathematics popularizer writes for an audience prepared to pay attention to ingenious yet undoubtedly complex insights. He begins by pointing out that scientists and engineers depend on math, but this is no less true of politicians. “One of the curious features of democracy,” he writes, “is that politicians who claim to be devoted to the idea that decisions should be made by ‘the People’ regularly go out of their way to ensure that this doesn’t happen.” Most readers know about gerrymandering, but this turns out to be the tip of the iceberg as Stewart describes many other ways to pervert voting, all revealed and disproved by mathematics. The author then moves on to the larger question of election fairness. America’s winner-takes-all system seems reasonable, but if one candidate is defeated, 100% of his or her supporter’s votes are wasted. In nations with proportional voting systems, minority voters elect a minority of representatives, so their votes are not wasted. This is fairer—in some ways. In fact, mathematicians have proven that a completely fair voting system is impossible. “Dictatorships are so much simpler,” writes Stewart. “One dictator, one vote.” Regarding our most pressing contemporary issue, climate change, Stewart explains that physicists have found that the growth of melting ponds over Arctic ice bears a striking resemblance to other phase transitions, and sea levels are rising faster than predicted. In other sections, the author offers the revealing (but not simple) explanation of the mathematical background of a GPS system, explains the data compression that vastly increases a computer’s power, and delves into the genuinely weird: how a puzzle with no solution—proven by a great mathematician—increases the ease of kidney transplantation.

Richly informative for careful readers who enjoy math.

Pub Date: Aug. 17, 2021

ISBN: 978-1-5416-9948-9

Page Count: 336

Publisher: Basic Books

Review Posted Online: June 15, 2021

Kirkus Reviews Issue: July 1, 2021

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FREQUENTLY ASKED QUESTIONS ABOUT THE UNIVERSE

A solid foundational education in a handful of lively scientific topics.

Two science podcasters answer their mail.

In this illustrated follow-up to We Have No Idea: A Guide to the Unknown Universe (2017), Cham, a cartoonist and former research associate and instructor at Caltech, and Whiteson, professor of physics and astronomy at the University of California, Irvine, explain the basic science behind subjects that seem to preoccupy the listeners of their podcast, Daniel and Jorge Explain the Universe. Most of the questions involve physics or astrophysics and take the form of, is such-and-such possible?—e.g., teleportation, alien visitors, building a warp drive, entering a black hole). The authors emphasize that they are answering as scientists, not engineers. “A physicist will say something is possible if they don’t know of a law of physics that prevents it.” Thus, a spaceship traveling fast enough to reach the nearest star in a reasonable amount of time is not forbidden by the laws of physics, but building one is inconceivable. Similarly, wormholes and time travel are “not known to be impossible”—as are many other scenarios. Some distressing events are guaranteed. An asteroid will strike the Earth, the sun will explode, and the human race will become extinct, but studies reveal that none are immediate threats. Sadly, making Mars as habitable as Earth is possible but only with improbably futuristic technology. For those who suspect that we are living in a computer simulation, the authors describe what clues to look for. Readers may worry that the authors step beyond their expertise when they include chapters on the existence of an afterlife or the question of free will. Sticking closely to hard science, they deliver a lucid overview of brain function and the debate over the existence of alternate universes that is unlikely to provoke controversy. The authors’ work fits neatly into the recently burgeoning market of breezy pop-science books full of jokes, asides, and cartoons that serve as introductions to concepts that require much further study to fully understand.

A solid foundational education in a handful of lively scientific topics.

Pub Date: Nov. 2, 2021

ISBN: 978-0-593-18931-3

Page Count: 336

Publisher: Riverhead

Review Posted Online: Sept. 6, 2021

Kirkus Reviews Issue: Oct. 1, 2021

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SEVEN BRIEF LESSONS ON PHYSICS

An intriguing meditation on the nature of the universe and our attempts to understand it that should appeal to both...

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Italian theoretical physicist Rovelli (General Relativity: The Most Beautiful of Theories, 2015, etc.) shares his thoughts on the broader scientific and philosophical implications of the great revolution that has taken place over the past century.

These seven lessons, which first appeared as articles in the Sunday supplement of the Italian newspaper Sole 24 Ore, are addressed to readers with little knowledge of physics. In less than 100 pages, the author, who teaches physics in both France and the United States, cogently covers the great accomplishments of the past and the open questions still baffling physicists today. In the first lesson, he focuses on Einstein's theory of general relativity. He describes Einstein's recognition that gravity "is not diffused through space [but] is that space itself" as "a stroke of pure genius." In the second lesson, Rovelli deals with the puzzling features of quantum physics that challenge our picture of reality. In the remaining sections, the author introduces the constant fluctuations of atoms, the granular nature of space, and more. "It is hardly surprising that there are more things in heaven and earth, dear reader, than have been dreamed of in our philosophy—or in our physics,” he writes. Rovelli also discusses the issues raised in loop quantum gravity, a theory that he co-developed. These issues lead to his extraordinary claim that the passage of time is not fundamental but rather derived from the granular nature of space. The author suggests that there have been two separate pathways throughout human history: mythology and the accumulation of knowledge through observation. He believes that scientists today share the same curiosity about nature exhibited by early man.

An intriguing meditation on the nature of the universe and our attempts to understand it that should appeal to both scientists and general readers.

Pub Date: March 1, 2016

ISBN: 978-0-399-18441-3

Page Count: 96

Publisher: Riverhead

Review Posted Online: Dec. 7, 2015

Kirkus Reviews Issue: Dec. 15, 2015

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