100 Essential Things You Didn't Know You Didn't Know


John D. Barrow - 2008
    This hugely informative and wonderfully entertaining little book answers one hundred essential questions about existence. It unravels the knotty, clarifies the conundrums and sheds light into dark corners. From winning the lottery, placing bets at the races and escaping from bears to sports, Shakespeare, Google, game theory, drunks, divorce settlements and dodgy accounting; from chaos to infinity and everything in between, 100 Essential Things You Didn't Know You Didn't Know has all the answers!

Shakespeare Set Free: Teaching Romeo & Juliet, Macbeth & Midsumr Night'


William Shakespeare - 1993
    This text includes provocative essays written by scholars to refresh both teacher and student, successful and understandable techniques for teaching through performance, and teaching methods that engage students at all levels.

Fraction Fun


David A. Adler - 1996
    You'll learn what the top and bottom numbers are called, and what they mean. You will also find out how to recognize and compare different fractions. Just follow the clear instructions and you will learn the most important thing of all -- that fractions can be fun!

The Joy of x: A Guided Tour of Math, from One to Infinity


Steven H. Strogatz - 2012
    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

Conceptual Mathematics: A First Introduction to Categories


F. William Lawvere - 1997
    Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.

Bringing Down the House: The Inside Story of Six M.I.T. Students Who Took Vegas for Millions


Ben Mezrich - 2002
    In two years, this ring of card savants earned more than three million dollars. Filled with tense action and incredibly close calls, this is a real-life adventure that could have stepped straight out of a Hollywood film.

Mummy Math: An Adventure in Geometry


Cindy Neuschwander - 2005
    FWUMP! A secret door suddenly closed behind them . . .Matt and Bibi use math to escape from a pharaoh's tomb!When the Zills family is summoned to Egypt to help find the hidden burial site of an ancient pharaoh, Matt and Bibi are locked into an adventure they did not expect. Stuck inside a pyramid with only each other, their dog Riley, and geometric hieroglyphics to help them find their way, the twins must use their math knowledge to solve the riddles on the walls and locate the burial chamber. Luckily, the two know their stuff when it comes to geometric solids.

How Not to Be Wrong: The Power of Mathematical Thinking


Jordan Ellenberg - 2014
    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

The Puzzler's Dilemma: From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life


Derrick Niederman - 2012
    Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

The R Book


Michael J. Crawley - 2007
    The R language is recognised as one of the most powerful and flexible statistical software packages, and it enables the user to apply many statistical techniques that would be impossible without such software to help implement such large data sets.

Bingo Night at the Fire Hall: Rediscovering Life in an American Village


Barbara Holland - 1997
    In Bingo Night at the Fire Hall, Holland recounts her adventures and misadventures adjusting to life in a rural community, as her small town adjusts to the inevitable encroachment of suburbia. Whether writing obituaries for the local paper or learning how to handle a chainsaw, Holland shares the triumphs and travails of being a newcomer to an old land with a rich history, a beautiful place sadly losing ground to subdivisions and four-lane highways. Filled with wonderful anecdotes, humor, and insight, Bingo Night at the Fire Hall is a fascinating portrait of a paradisical yet disappearing world.

All Things Being Equal: Why Math Is the Key to a Better World


John Mighton - 2020
    For two decades, John Mighton has developed strategies for fostering intellectual potential in all children through learning math. Math, Mighton says, provides us with mental tools of incredible power. When we learn math we learn to see patterns, to think logically and systematically, to draw analogies, to perceive risk, to understand cause and effect--among many other critical skills. Yet we tolerate and in fact expect a vast performance gap in math among students, and live in a world where many adults aren't equipped with these crucial tools. This learning gap is unnecessary, dangerous and tragic, he cautions, and it has led us to a problem of intellectual poverty which is apparent everywhere--in fake news, political turmoil, floundering economies, even in erroneous medical diagnoses. In All Things Being Equal, Mighton argues that math study is an ideal starting point to break down social inequality and empower individuals to build a smarter, kinder, more equitable world. Bringing together the latest cognitive research and incremental learning strategies, Mighton goes deep into the classroom and beyond to offer a hopeful--and urgent--vision for a numerate society.

Teaching in Your Tiara: A Homeschooling Book for the rest of Us


Rebecca Frech - 2013
    then, by golly, stick a tiara on your head and go teach something!" Do you wish that you had the chance to sit down with a seasoned homeschooling veteran over a cup of tea and ask every question that comes to mind? Mother of seven and twelve year homeschooling veteran Rebecca Frech is the common-sense voice of experience and reassurance that you've been hoping to find. Teaching in Your Tiara is a soup-to-nuts homeschooling book that walks you through the first years - deciding that home education is right for your family, choosing the right curriculum, understanding learning styles, not raising socially awkward kids, maintaining your own identity, and more. Whether you're the parent who's already committed to homeschooling or you're just dipping your toe into the pool of consideration, this book is for you! Rebecca's logic, honesty, and humor will leave you both amused and well-informed about the realities of homeschooling and what it could mean for your family.

A Beautiful Question: Finding Nature's Deep Design


Frank Wilczek - 2015
    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

The Signal and the Noise: Why So Many Predictions Fail—But Some Don't


Nate Silver - 2012
    He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.