A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.

A mathematical journey through the most fascinating problems of extremes and how to solve them What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.

The New York Times bestselling work of undercover reportage from our sharpest and most original social critic, with a new foreword by Matthew Desmond, author of Evicted Millions of Americans work full time, year round, for poverty-level wages. In 1998, Barbara Ehrenreich decided to join them. She was inspired in part by the rhetoric surrounding welfare reform, which promised that a job—any job—can be the ticket to a better life. But how does anyone survive, let alone prosper, on $6 an hour? To find out, Ehrenreich left her home, took the cheapest lodgings she could find, and accepted whatever jobs she was offered. Moving from Florida to Maine to Minnesota, she worked as a waitress, a hotel maid, a cleaning woman, a nursing-home aide, and a Wal-Mart sales clerk. She lived in trailer parks and crumbling residential motels. Very quickly, she discovered that no job is truly "unskilled," that even the lowliest occupations require exhausting mental and muscular effort. She also learned that one job is not enough; you need at least two if you int to live indoors. Nickel and Dimed reveals low-rent America in all its tenacity, anxiety, and surprising generosity—a land of Big Boxes, fast food, and a thousand desperate stratagems for survival. Read it for the smoldering clarity of Ehrenreich's perspective and for a rare view of how "prosperity" looks from the bottom. And now, in a new foreword, Matthew Desmond, author of Evicted: Poverty and Profit in the American City, explains why, twenty years on in America, Nickel and Dimed is more relevant than ever.

The #1 New York Times bestseller that has all America talking—with a new afterword on expanding your range—as seen on CNN's Fareed Zakaria GPS, Morning Joe, CBS This Morning, and more. “The most important business—and parenting—book of the year.” —Forbes “Urgent and important. . . an essential read for bosses, parents, coaches, and anyone who cares about improving performance.” —Daniel H. Pink Shortlisted for the Financial Times/McKinsey Business Book of the Year Award Plenty of experts argue that anyone who wants to develop a skill, play an instrument, or lead their field should start early, focus intensely, and rack up as many hours of deliberate practice as possible. If you dabble or delay, you’ll never catch up to the people who got a head start. But a closer look at research on the world’s top performers, from professional athletes to Nobel laureates, shows that early specialization is the exception, not the rule. David Epstein examined the world’s most successful athletes, artists, musicians, inventors, forecasters and scientists. He discovered that in most fields—especially those that are complex and unpredictable—generalists, not specialists, are primed to excel. Generalists often find their path late, and they juggle many interests rather than focusing on one. They’re also more creative, more agile, and able to make connections their more specialized peers can’t see. Provocative, rigorous, and engrossing, Range makes a compelling case for actively cultivating inefficiency. Failing a test is the best way to learn. Frequent quitters end up with the most fulfilling careers. The most impactful inventors cross domains rather than deepening their knowledge in a single area. As experts silo themselves further while computers master more of the skills once reserved for highly focused humans, people who think broadly and embrace diverse experiences and perspectives will increasingly thrive.

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.

A Dominican-born academic tells the story of how the Great Books transformed his life—and why they have the power to speak to people of all backgrounds What is the value of a liberal education? Traditionally characterized by a rigorous engagement with the classics of Western thought and literature, this approach to education is all but extinct in American universities, replaced by flexible distribution requirements and ever-narrower academic specialization. Many academics attack the very idea of a Western canon as chauvinistic, while the general public increasingly doubts the value of the humanities. In Rescuing Socrates, Dominican-born American academic Roosevelt Montás tells the story of how a liberal education transformed his life, and offers an intimate account of the relevance of the Great Books today, especially to members of historically marginalized communities. Montás emigrated from the Dominican Republic to Queens, New York, when he was twelve and encountered the Western classics as an undergraduate in Columbia University’s renowned Core Curriculum, one of America’s last remaining Great Books programs. The experience changed his life and determined his career—he went on to earn a PhD in English and comparative literature, serve as director of Columbia’s Center for the Core Curriculum, and start a Great Books program for low-income high school students who aspire to be the first in their families to attend college. Weaving together memoir and literary reflection, Rescuing Socrates describes how four authors—Plato, Augustine, Freud, and Gandhi—had a profound impact on Montás’s life. In doing so, the book drives home what it’s like to experience a liberal education—and why it can still remake lives.

PORCHLIGHT BOOKS JUNE 2022 NONFICTION BESTSELLER “I can see this book helping estranged parties who are equally invested in bridging a gap—it could be assigned reading for fractured families aspiring to a harmonious Thanksgiving dinner.” —New York Times “Like all skills, these techniques take practice. But anyone who sincerely wants to bridge the gaps in understanding will appreciate this book. Guzmán is emphatic about making an effort to work on difficult conversations.” —Manhattan Book Review We think we have the answers, but we need to be asking a lot more questions. Journalist Mónica Guzmán is the loving liberal daughter of Mexican immigrants who voted—twice—for Donald Trump. When the country could no longer see straight across the political divide, Mónica set out to find what was blinding us and discovered the most eye-opening tool we’re not using: our own built-in curiosity. Partisanship is up, trust is down, and our social media feeds make us sure we’re right and everyone else is ignorant (or worse). But avoiding one another is hurting our relationships and our society. In this timely, personal guide, Mónica, the chief storyteller for the national cross-partisan depolarization organization Braver Angels, takes you to the real front lines of a crisis that threatens to grind America to a halt—broken conversations among confounded people. She shows you how to overcome the fear and certainty that surround us to finally do what only seems impossible: understand and even learn from people in your life whose whole worldview is different from or even opposed to yours. Drawing from cross-partisan conversations she’s had, organized, or witnessed everywhere from the echo chambers on social media to the wheat fields in Oregon to raw, unfiltered fights with her own family on election night, Mónica shows how you can put your natural sense of wonder to work for you immediately, finding the answers you need by talking with people—rather than about them—and asking the questions you want, curiously. In these pages, you’ll learn: How to ask what you really want to know (even if you’re afraid to) How to grow smarter from even the most tense interactions, online or off How to cross boundaries and find common ground—with anyone Whether you’re left, right, center, or not a fan of labels: If you’re ready to fight back against the confusion, heartbreak, and madness of our dangerously divided times—in your own life, at least—Mónica’s got the tools and fresh, surprising insights to prove that seeing where people are coming from isn’t just possible. It’s easier than you think.

With the arrival of the 21st century we have encountered a mental and material explosion in the Western world: we have near-unlimited information at our fingertips, we can have children who are healthy and safe, and we have wealth and possessions beyond what most of the world can dream of. However, this is not a boast. We are more stressed than we have ever been: the majority of us are profoundly unhappy. Despite the potential of prosperity, our fears are undiminished: we are stuck with cars and computers and houses and mobiles and hundreds of other tiny apparent "needs" that, when all combined, build to something unsustainable. Though we are surrounded by what we want, our desire to keep and still get more creates a pressure that we cannot tolerate. But we do not need to "keep up with the Joneses". The flip side of our society's growth is that we can choose what to accept, and what not to accept: what to keep, and what to lose, joyfully and consciously. With this handbook of simplicity, Leo Babauta shows us: • why less is powerful • how to know what you want, and what you need • how to choose what is essential, and clear out the rest With The Power of Less, you will be able to start a complete shift from wanting everything to needing nothing, be able to live your life simply without compromise, and discover that though we cannot have everything we want, we can obtain anything we will ever need. With this book, you will find how to go through life not carefully, but carefreely.