Gödel's Proof


Ernest Nagel - 1958
    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

Statistics Done Wrong: The Woefully Complete Guide


Alex Reinhart - 2013
    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

Calculus and Analytic Geometry


George B. Thomas Jr. - 1920
    It features a visual presentation, designed to encourage learning; revised exercises to ensure clarity, balance and relevance; and clear commentary on the difficult subject of critical multivariable calculus topics.

Measure Twice, Cut Once: Lessons from a Master Carpenter


Norm Abram - 1996
    In this book, Abram presents a series of sixty lessons for carpenters of all levels of expertise.

Logic: An Introduction to Elementary Logic


Wilfrid Hodges - 1980
    From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

Chance: The science and secrets of luck, randomness and probability (New Scientist)


Michael Brooks - 2015
    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

All the Mathematics You Missed


Thomas A. Garrity - 2001
    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

What is a P-Value Anyway? 34 Stories to Help You Actually Understand Statistics


Andrew J. Vickers - 2009
    Drawing on his experience as a medical researcher, Vickers blends insightful explanations and humor, with minimal math, to help readers understand and interpret the statistics they read every day. Describing data; Data distributions; Variation of study results: confidence intervals; Hypothesis testing; Regression and decision making; Some common statistical errors, and what they teach us For all readers interested in statistics.

Automate This: How Algorithms Came to Rule Our World


Christopher Steiner - 2012
    It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills—and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These “bots” started with human programming and logic, but now their reach extends beyond what their creators ever expected. In this fascinating, frightening book, Christopher Steiner tells the story of how algorithms took over—and shows why the “bot revolution” is about to spill into every aspect of our lives, often silently, without our knowledge. The May 2010 “Flash Crash” exposed Wall Street’s reliance on trading bots to the tune of a 998-point market drop and $1 trillion in vanished market value. But that was just the beginning. In Automate This, we meet bots that are driving cars, penning haiku, and writing music mistaken for Bach’s. They listen in on our customer service calls and figure out what Iran would do in the event of a nuclear standoff. There are algorithms that can pick out the most cohesive crew of astronauts for a space mission or identify the next Jeremy Lin. Some can even ingest statistics from baseball games and spit out pitch-perfect sports journalism indistinguishable from that produced by humans. The interaction of man and machine can make our lives easier. But what will the world look like when algorithms control our hospitals, our roads, our culture, and our national security? What hap­pens to businesses when we automate judgment and eliminate human instinct? And what role will be left for doctors, lawyers, writers, truck drivers, and many others?  Who knows—maybe there’s a bot learning to do your job this minute.

The Transparent Society: Will Technology Force Us to Choose Between Privacy and Freedom?


David Brin - 1998
    Huge commercial databases track your finances and sell that information to anyone willing to pay. Host sites on the World Wide Web record every page you view, and “smart” toll roads know where you drive. Every day, new technology nibbles at our privacy. Does that make you nervous?David Brin is worried, but not just about privacy. He fears that society will overreact to these technologies by restricting the flow of information, frantically enforcing a reign of secrecy. Such measures, he warns, won’t really preserve our privacy. Governments, the wealthy, criminals, and the techno-elite will still find ways to watch us. But we’ll have fewer ways to watch them. We’ll lose the key to a free society: accountability.The Transparent Society is a call for “reciprocal transparency.” If police cameras watch us, shouldn’t we be able to watch police stations? If credit bureaus sell our data, shouldn't we know who buys it? Rather than cling to an illusion of anonymity - a historical anomaly, given our origins in close-knit villages - we should focus on guarding the most important forms of privacy and preserving mutual accountability. The biggest threat to our freedom, Brin warns, is that surveillance technology will be used by too few people, now by too many.A society of glass houses may seem too fragile. Fearing technology-aided crime, governments seek to restrict online anonymity; fearing technology-aided tyranny, citizens call for encrypting all data. Brins shows how, contrary to both approaches, windows offer us much better protection than walls; after all, the strongest deterrent against snooping has always been the fear of being spotted. Furthermore, Brin argues, Western culture now encourages eccentricity - we’re programmed to rebel! That gives our society a natural protection against error and wrong-doing, like a body’s immune system. But “social T-cells” need openness to spot trouble and get the word out.The Transparent Society is full of such provocative and far-reaching analysis. The inescapable rush of technology is forcing us to make new choices about how we want to live. This daring book reminds us that an open society is more robust and flexible than one where secrecy reigns. In an era of gnat-sized cameras, universal databases, and clothes-penetrating radar, it will be more vital than ever for us to be able to watch the watchers. With reciprocal transparency we can detect dangers early and expose wrong-doers. We can gauge the credibility of pundits and politicians. We can share technological advances and news. But all of these benefits depend on the free, two-way flow of information.

Calculus with Analytic Geometry


Howard Anton - 1980
    This popular student textbook has been revised and updated in order to provide clear explanations of the subject matter, permitting more classroom time to be spent in problem solving, applications or explanations of the most difficult points.

A Pattern Language: Towns, Buildings, Construction


Christopher W. Alexander - 1977
    It will enable making a design for almost any kind of building, or any part of the built environment. ‘Patterns,’ the units of this language, are answers to design problems: how high should a window sill be?; how many stories should a building have?; how much space in a neighborhood should be devoted to grass and trees?More than 250 of the patterns in this language are outlined, each consisting of a problem statement, a discussion of the problem with an illustration, and a solution. As the authors say in their introduction, many of the patterns are archetypal, so deeply rooted in the nature of things that it seems likely that they will be a part of human nature and human action as much in five hundred years as they are today.A Pattern Language is related to Alexander’s other works in the Center for Environmental Structure series: The Timeless Way of Building (introductory volume) and The Oregon Experiment.

Big Data: A Revolution That Will Transform How We Live, Work, and Think


Viktor Mayer-Schönberger - 2013
    “Big data” refers to our burgeoning ability to crunch vast collections of information, analyze it instantly, and draw sometimes profoundly surprising conclusions from it. This emerging science can translate myriad phenomena—from the price of airline tickets to the text of millions of books—into searchable form, and uses our increasing computing power to unearth epiphanies that we never could have seen before. A revolution on par with the Internet or perhaps even the printing press, big data will change the way we think about business, health, politics, education, and innovation in the years to come. It also poses fresh threats, from the inevitable end of privacy as we know it to the prospect of being penalized for things we haven’t even done yet, based on big data’s ability to predict our future behavior.In this brilliantly clear, often surprising work, two leading experts explain what big data is, how it will change our lives, and what we can do to protect ourselves from its hazards. Big Data is the first big book about the next big thing.www.big-data-book.com

Methods in Behavioral Research


Paul C. Cozby - 2008
    Combining helpful pedagogy and rich examples, Cozby's tenth edition again incorporates learning objectives, illustrative graphics, and activities to increase student involvement. Highlights of the new edition include a broader introduction of different research techniques in Chapter 4, extensive revision of the "validity of measurements" section, and updated structural equations models.

Wiring a House


Rex Cauldwell - 1996
    Wiring a House: 5th Edition, is a must-have reference on home wiring - essential for homeowners, electricians, and apprentices. You'll find all the information is updated to the latest electrical code and contains significant revisions that impact residential work, including:Expanded AFCI and GFCI protection in homes New approaches to ensure the safety of photovoltaic (PV) electrical systems New methods to distribute low voltage power New DC provisions designed to save energy lost in conversion from AC Written in plain language. Author Rex Cauldwell shares his wealth of experience in a simple, straightforward manner. He covers all the basics from idiot-proof advice on how to keep track of your tools -- cart them in bins in a little red wagon -- to the highly technical aspects of wiring, and tried-and-true industry tips.Current and accurate information. Wiring a House is a comprehensive guide written by a master electrician with over 37 years of experience. An indispensable reference for keeping pros up-to-date, it also provides apprentices and homeowners an accessible reference with the latest information: 350 full-color photographs 120 instructive illustrations Plus information on lighting, inverters, and electrical vehicle chargers.