The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse
Jennifer Ouellette - 2010
But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.
E=mc²: A Biography of the World's Most Famous Equation
David Bodanis - 2000
Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
Paul J. Nahin - 2006
Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.
Information: A Very Short Introduction
Luciano Floridi - 2010
In this Very Short Introduction, one of the world's leading authorities on the philosophy of information and on information ethics, Luciano Floridi, offers an illuminating exploration of information as it relates to both philosophy and science. He discusses the roots of the concept of information in mathematics and science, and considers the role of information in several fields, including biology. Floridi also discusses concepts such as "Infoglut" (too much information to process) and the emergence of an information society, and he addresses the nature of information as a communication process and its place as a physical phenomenon. Perhaps more important, he explores information's meaning and value, and ends by considering the broader social and ethical issues relating to information, including problems surrounding accessibility, privacy, ownership, copyright, and open source. This book helps us understand the true meaning of the concept and how it can be used to understand our world.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
The God Particle: If the Universe Is the Answer, What Is the Question?
Leon M. Lederman - 1993
The book takes us from the Greeks' earliest scientific observations through Einstein and beyond in an inspiring celebration of human curiosity. It ends with the quest for the Higgs boson, nicknamed the God Particle, which scientists hypothesize will help unlock the last secrets of the subatomic universe. With a new preface by Lederman, The God Particle will leave you marveling at our continuing pursuit of the infinitesimal.
The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation
Hannah Fry - 2015
But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love.
Proofs and Refutations: The Logic of Mathematical Discovery
Imre Lakatos - 1976
Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.
Wait: The Art and Science of Delay
Frank Partnoy - 2012
Even as technology exerts new pressures to speed up our lives, it turns out that the choices we make--unconsciously and consciously, in time frames varying from milliseconds to years--benefit profoundly from delay. As this winning and provocative book reveals, taking control of time and slowing down our responses yields better results in almost every arena of life ... even when time seems to be of the essence.The procrastinator in all of us will delight in Partnoy's accounts of celebrity "delay specialists," from Warren Buffett to Chris Evert to Steve Kroft, underscoring the myriad ways in which delaying our reactions to everyday choices--large and small--can improve the quality of our lives.
Discovering Statistics Using R
Andy Field - 2012
Like its sister textbook, Discovering Statistics Using R is written in an irreverent style and follows the same ground-breaking structure and pedagogical approach. The core material is enhanced by a cast of characters to help the reader on their way, hundreds of examples, self-assessment tests to consolidate knowledge, and additional website material for those wanting to learn more.
A Tour of the Calculus
David Berlinski - 1995
Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review
The Rational Optimist: How Prosperity Evolves
Matt Ridley - 2010
Food availability, income, and life span are up; disease, child mortality, and violence are down — all across the globe. Though the world is far from perfect, necessities and luxuries alike are getting cheaper; population growth is slowing; Africa is following Asia out of poverty; the Internet, the mobile phone, and container shipping are enriching people’s lives as never before. The pessimists who dominate public discourse insist that we will soon reach a turning point and things will start to get worse. But they have been saying this for two hundred years.Yet Matt Ridley does more than describe how things are getting better. He explains why. Prosperity comes from everybody working for everybody else. The habit of exchange and specialization—which started more than 100,000 years ago—has created a collective brain that sets human living standards on a rising trend. The mutual dependence, trust, and sharing that result are causes for hope, not despair.This bold book covers the entire sweep of human history, from the Stone Age to the Internet, from the stagnation of the Ming empire to the invention of the steam engine, from the population explosion to the likely consequences of climate change. It ends with a confident assertion that thanks to the ceaseless capacity of the human race for innovative change, and despite inevitable disasters along the way, the twenty-first century will see both human prosperity and natural biodiversity enhanced. Acute, refreshing, and revelatory, The Rational Optimist will change your way of thinking about the world for the better.
xkcd: volume 0
Randall Munroe - 2009
While it's practically required reading in the geek community, xkcd fans are as varied as the comic's subject matter. This book creates laughs from science jokes on one page to relationship humor on another.xkcd: volume 0 is the first book from the immensely popular webcomic with a passionate readership (just Google "xkcd meetup").The artist selected personal and fan favorites from his first 600 comics. It was lovingly assembled from high-resolution original scans of the comics (the mouseover text is discreetly included), and features a lot of doodles, notes, and puzzles in the margins.The book is published by Breadpig, which donates all of the publisher profits from this book to Room to Read for promoting literacy in the developing world.
The Tyranny of Metrics
Jerry Z. Muller - 2017
But in our zeal to instill the evaluation process with scientific rigor, we've gone from measuring performance to fixating on measuring itself. The result is a tyranny of metrics that threatens the quality of our lives and most important institutions. In this timely and powerful book, Jerry Muller uncovers the damage our obsession with metrics is causing--and shows how we can begin to fix the problem.Filled with examples from education, medicine, business and finance, government, the police and military, and philanthropy and foreign aid, this brief and accessible book explains why the seemingly irresistible pressure to quantify performance distorts and distracts, whether by encouraging "gaming the stats" or "teaching to the test." That's because what can and does get measured is not always worth measuring, may not be what we really want to know, and may draw effort away from the things we care about. Along the way, we learn why paying for measured performance doesn't work, why surgical scorecards may increase deaths, and much more. But metrics can be good when used as a complement to--rather than a replacement for--judgment based on personal experience, and Muller also gives examples of when metrics have been beneficial.Complete with a checklist of when and how to use metrics, The Tyranny of Metrics is an essential corrective to a rarely questioned trend that increasingly affects us all.
Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law
Peter Woit - 2006
In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.
Elementary Statistics: Picturing the World
Ron Larson - 2002
Offering an approach with a visual/graphical emphasis, this text offers a number of examples on the premise that students learn best by doing. This book features an emphasis on interpretation of results and critical thinking over calculations.