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.

Probably Approximately Correct: Nature's Algorithms for Learning and Prospering in a Complex World


Leslie Valiant - 2013
    We nevertheless muddle through even in the absence of theories of how to act. But how do we do it?In Probably Approximately Correct, computer scientist Leslie Valiant presents a masterful synthesis of learning and evolution to show how both individually and collectively we not only survive, but prosper in a world as complex as our own. The key is “probably approximately correct” algorithms, a concept Valiant developed to explain how effective behavior can be learned. The model shows that pragmatically coping with a problem can provide a satisfactory solution in the absence of any theory of the problem. After all, finding a mate does not require a theory of mating. Valiant’s theory reveals the shared computational nature of evolution and learning, and sheds light on perennial questions such as nature versus nurture and the limits of artificial intelligence.Offering a powerful and elegant model that encompasses life’s complexity, Probably Approximately Correct has profound implications for how we think about behavior, cognition, biological evolution, and the possibilities and limits of human and machine intelligence.

Fuzzy Thinking: The New Science of Fuzzy Logic


Bart Kosko - 1993
    An authoritative introduction to "fuzzy logic" brings readers up to speed on the "smart" products and computers that will change all of our lives in the future.

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.

Heidegger: An Essential Guide For Complete Beginners


Michael Watts - 2014
    He is a master at this!” (Roy Martinez, Professor and Chair of the Department of Philosophy and Religion at Spelman College, Atlanta, USA).“To write clearly and accessibly, and yet present a philosopher’s ideas without trivialising or distorting them requires considerable intellectual discipline. This challenge is, arguably, all the more severe in the case of philosophers such as Heidegger and Wittgenstein…Michael Watts has understood his responsibilities to the ‘newcomer’ very well.” (Extract from The Philosophers’ Magazine [Summer 2002] review by Jonathan Derbyshire, Culture Editor of New Statesman and Managing Editor of Prospect).“Michael Watts gives an exceptionally clear and readable account of Being and Time, while also performing the difficult feat of weaving this into an account of Heidegger’s later writings. He provides valuable guidance for the beginner through the complexities of Heidegger’s thought and much of interest for those who are already ‘on the way’.” (Michael Inwood, Trinity College, Oxford).Ideal for complete beginners, this is an exceptionally readable and reliable overview of Heidegger's thought, refreshingly free from the complex jargon typical of most academic philosophy. Full of concrete examples, Watts provides easy access to key Heideggerian notions of authenticity, falling, throwness, angst, guilt, conscience, technology and death, while also navigating the difficult relationship between earlier and later texts, to provide readers with a strong sense of the overall continuity of the Heidegger's thought. About the Author Philosophy Publications:1.The Philosophy of Heidegger, Acumen Publishing, Durham (2011)2.Kierkegaard, Oneworld Publications, Oxford (2003) E book version: Kierkegaard: An Essential Introduction3.Heidegger: A Beginner’s Guide, Hodder and Stoughton Educational, London, (2001) 4.Heidegger: A Beginner’s Guide, Spanish Language Edition: Heidegger Guia para Jovenes, Logues Ediciones, Madrid (2003)5.Heidegger: A Beginner’s Guide, Korean Language Edition: Korean Translation Joong-Ang Inc. Seoul, (2006)Psychology Publications:6.Doodle Interpretation: A Beginner's Guide, Hodder and Stoughton Educational, London (2000)7.Lovescript: What Handwriting Reveals About Love & Romance, St Martins Griffin, New York, (1996)8.The Naked Hand: Sexuality Revealed Through Handwriting, Headline Book Publishing, London (1995)9.Graphology: What Your Handwriting Reveals About You, Your Friends and Your Enemies, Simon & Schuster, New York (1991)Michael Watts graduated with honors in 1980 in Experimental Psychology, (Sussex University, UK). Continuing with post-graduate research in Graphology, he became a personnel consultant for companies worldwide, and in 1983 assisted the Security Commission in Whitehall.Writing for numerous magazines and national newspapers in the UK and USA, he has also been a frequent guest on radio and television (ITV, BBC and Sky News channels).An independent scholar and writer, his specialist interests are in philosophy, in particular in the practical application of East Asian thinking and Western Existentialism.

Calling Bullshit: The Art of Skepticism in a Data-Driven World


Carl T. Bergstrom - 2020
    Now, two science professors give us the tools to dismantle misinformation and think clearly in a world of fake news and bad data.It's increasingly difficult to know what's true. Misinformation, disinformation, and fake news abound. Our media environment has become hyperpartisan. Science is conducted by press release. Startup culture elevates bullshit to high art. We are fairly well equipped to spot the sort of old-school bullshit that is based in fancy rhetoric and weasel words, but most of us don't feel qualified to challenge the avalanche of new-school bullshit presented in the language of math, science, or statistics. In Calling Bullshit, Professors Carl Bergstrom and Jevin West give us a set of powerful tools to cut through the most intimidating data.You don't need a lot of technical expertise to call out problems with data. Are the numbers or results too good or too dramatic to be true? Is the claim comparing like with like? Is it confirming your personal bias? Drawing on a deep well of expertise in statistics and computational biology, Bergstrom and West exuberantly unpack examples of selection bias and muddled data visualization, distinguish between correlation and causation, and examine the susceptibility of science to modern bullshit.We have always needed people who call bullshit when necessary, whether within a circle of friends, a community of scholars, or the citizenry of a nation. Now that bullshit has evolved, we need to relearn the art of skepticism.

Naive Set Theory


Paul R. Halmos - 1960
    This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

Precious Metal: Decibel Presents the Stories Behind 25 Extreme Metal Masterpieces


Albert Mudrian - 2009
    Decibel magazine is regarded as the best extreme music magazine around.Precious Metal gathers pieces from Decibel's most popular feature, the monthly “Hall of Fame” which documents the making of landmark metal albums via candid, hilarious, and fascinating interviews with every participating band member.Decibel's editor-in-chief Albert Mudrian, has selected and expanded the best of these features, creating a definitive collection of stories behind the greatest extreme metal albums of all time.

The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine


Charles Petzold - 2008
    Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

Calculus


Gilbert Strang - 1991
    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

The Universal Computer: The Road from Leibniz to Turing


Martin D. Davis - 2000
    How can today's computers perform such a bewildering variety of tasks if computing is just glorified arithmetic? The answer, as Martin Davis lucidly illustrates, lies in the fact that computers are essentially engines of logic. Their hardware and software embody concepts developed over centuries by logicians such as Leibniz, Boole, and Godel, culminating in the amazing insights of Alan Turing. The Universal Computer traces the development of these concepts by exploring with captivating detail the lives and work of the geniuses who first formulated them. Readers will come away with a revelatory understanding of how and why computers work and how the algorithms within them came to be.

Red Tory: How Left and Right have Broken Britain and How we can Fix It


Phillip Blond - 2010
    Amid recession, depression, poverty, increasing violence and rising inequality, our current politics is exhausted and inadequate. In Red Tory, Phillip Blond argues that only a radical new political settlement can tackle the problems we face.Red Toryism combines economic egalitarianism with social conservatism, calling for an end to the monopolisation of society and the private sphere by the state and the market. Decrying the legacy of both the Labour and Conservative parties, Blond proposes a genuinely progressive Conservatism that will restore social equality and revive British culture. He calls for the strengthening of local communities and economies, ending dispossession, redistribution of the tax burden and restoration the nuclear family.Red Tory offers a different vision for our future and asks us to question our long-held political assumptions. No political thinker has aroused more passionate debate in recent times. Phillip Blond's ideas have already been praised or attacked in every major British newspaper and journal. Challenging, stimulating and exhilarating, this is a book for our times.

Computational Geometry: Algorithms and Applications


Mark de Berg - 1997
    The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life


Albert-László Barabási - 2002
    Albert-László Barabási, the nation’s foremost expert in the new science of networks and author of Bursts, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos–Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási–Albert model.

Idea Makers: Personal Perspectives on the Lives & Ideas of Some Notable People


Stephen Wolfram - 2016
    Weaving together his immersive interest in people and history with insights gathered from his own experiences, Stephen Wolfram gives an ennobling look at some of the individuals whose ideas and creations have helped shape our world today. Contents includes biographical sketches of: Richard Feynman Kurt Godel Alan Turing John von Neumann George Boole Ada Lovelace Gottfried Leibniz Benoit Mandelbrot Steve Jobs Marvin Minsky Russell Towle Bertrand Russell Alfred Whitehead Richard Crandall Srinivasa Ramanujan Solomon Golomb