Who Is Fourier? a Mathematical Adventure


Transnational College of Lex - 1995
    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

An Introduction to Systems Biology: Design Principles of Biological Circuits


Uri Alon - 2006
    It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.

Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy


Cathy O'Neil - 2016
    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

Islands of Genius: The Bountiful Mind of the Autistic, Acquired, and Sudden Savant


Darold A. Treffert - 2010
    In this fascinating book, Dr. Darold Treffert looks at what we know about this remarkable condition, and at new discoveries that raise interesting questions about the hidden brain potential within us all.Dr. Treffert explores the phenomena of genetic memory - instances in which individuals somehow "know" things they never learned - and sudden genius or "acquired savantism" - where a neuro-typical person unexpectedly and spectacularly develops savant-like abilities following a head injury or stroke. Showing that these phenomena point convincingly towards a reservoir of untapped potential - an inner savant capacity - within us all, he looks both at how savant skills can be nurtured, and how they can help the person who has them, particularly if that person is on the autism spectrum. A central colour section contains the extraordinary artwork of some of the savants who are mentioned in the book.Islands of Genius will intrigue anyone who has ever wondered what makes the mind of a savant tick, as well as clinicians, parents, teachers, therapists, and others who care for, and about, individuals with savant syndrome.

On Being Certain: Believing You Are Right Even When You're Not


Robert A. Burton - 2008
    In On Being Certain, neurologist Robert Burton challenges the notions of how we think about what we know. He shows that the feeling of certainty we have when we know something comes from sources beyond our control and knowledge. In fact, certainty is a mental sensation, rather than evidence of fact. Because this feeling of knowing seems like confirmation of knowledge, we tend to think of it as a product of reason. But an increasing body of evidence suggests that feelings such as certainty stem from primitive areas of the brain, and are independent of active, conscious reflection and reasoning. The feeling of knowing happens to us; we cannot make it happen. Bringing together cutting edge neuroscience, experimental data, and fascinating anecdotes, Robert Burton explores the inconsistent and sometimes paradoxical relationship between our thoughts and what we actually know. Provocative and groundbreaking, On Being Certain, will challenge what you know (or think you know) about the mind, knowledge, and reason.

The Believing Brain: From Ghosts and Gods to Politics and Conspiracies How We Construct Beliefs and Reinforce Them as Truths


Michael Shermer - 2011
    Simply put, beliefs come first and explanations for beliefs follow. The brain, Shermer argues, is a belief engine. From sensory data flowing in through the senses, the brain naturally begins to look for and find patterns, and then infuses those patterns with meaning. Our brains connect the dots of our world into meaningful patterns that explain why things happen, and these patterns become beliefs. Once beliefs are formed the brain begins to look for and find confirmatory evidence in support of those beliefs, which accelerates the process of reinforcing them, and round and round the process goes in a positive-feedback loop of belief confirmation. Shermer outlines the numerous cognitive tools our brains engage to reinforce our beliefs as truths.Interlaced with his theory of belief, Shermer provides countless real-world examples of how this process operates, from politics, economics, and religion to conspiracy theories, the supernatural, and the paranormal. Ultimately, he demonstrates why science is the best tool ever devised to determine whether or not a belief matches reality.

The Man Who Counted Infinity and Other Short Stories from Science, History and Philosophy


Sašo Dolenc - 2012
    The objective here is to explain science in a simple, attractive and fun form that is open to all.The first axiom of this approach was set out as follows: “We believe in the magic of science. We hope to show you that sci-ence is not a secret art, accessible only to a dedicated few. It involves learning about nature and society, and aspects of our existence which affect us all, and which we should all therefore have the chance to understand. We shall interpret science for those who might not speak its language fluently, but want to understand its meaning. We don’t teach, we just tell stories about the beginnings of science, the natural phenomena and the underlying principles through which they occur, and the lives of the people who discovered them.”The aim of the writings collected in this series is to present some key scientific events, ideas and personalities in the form of short stories that are easy and fun to read. Scientific and philo-sophical concepts are explained in a way that anyone may under-stand. Each story may be read separately, but at the same time they all band together to form a wide-ranging introduction to the history of science and areas of contemporary scientific research, as well as some of the recurring problems science has encountered in history and the philosophical dilemmas it raises today.Review“If I were the only survivor on a remote island and all I had with me were this book, a Swiss army knife and a bottle, I would throw the bottle into the sea with the note: ‘Don’t worry, I have everything I need.’”— Ciril Horjak, alias Dr. Horowitz, a comic artist“The writing is understandable, but never simplistic. Instructive, but never patronizing. Straightforward, but never trivial. In-depth, but never too intense.”— Ali Žerdin, editor at Delo, the main Slovenian newspaper“Does science think? Heidegger once answered this question with a decisive No. The writings on modern science skillfully penned by Sašo Dolenc, these small stories about big stories, quickly convince us that the contrary is true. Not only does science think in hundreds of unexpected ways, its intellectual challenges and insights are an inexhaustible source of inspiration and entertainment. The clarity of thought and the lucidity of its style make this book accessible to anyone … in the finest tradition of popularizing science, its achievements, dilemmas and predicaments.”— Mladen Dolar, philosopher and author of A Voice and Nothing More“Sašo Dolenc is undoubtedly one of our most successful authors in the field of popular science, possessing the ability to explain complex scientific achievements to a broader audience in a clear and captivating way while remaining precise and scientific. His collection of articles is of particular importance because it encompasses all areas of modern science in an unassuming, almost light-hearted manner.”— Boštjan Žekš, physicist and former president of the Slovenian Academy of Sciences and Arts

Philosophy of Mathematics: Selected Readings


Paul Benacerraf - 1983
    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

Evolution as a Religion (Routledge Classics)


Mary Midgley - 1985
    This book examines how science comes to be used as a substitute for religion and points out how badly that role distorts it. Her argument is flawlessly insightful: a punch, compelling, lively indictment of these misuses of science. Both the book and its author are true classics of our time.

The Genius Within: Discovering the Intelligence of Every Living Thing


Frank T. Vertosick Jr. - 2002
    A gifted writer, Vertosick shows us that intelligence - the ability to react to the outside world, to change behaviour, to survive - can be found wherever life exists. He demonstrates the keen intelligence of our immune system, how lowly bacteria mutate and outwit antibiotics, and how canny cancer cells elude our natural defences.

The Art of Memory


Frances A. Yates - 1966
    Yates traces the art of memory from its treatment by Greek orators, through its Gothic transformations in the Middle Ages, to the occult forms it took in the Renaissance, and finally to its use in the seventeenth century. This book, the first to relate the art of memory to the history of culture as a whole, was revolutionary when it first appeared and continues to mesmerize readers with its lucid and revelatory insights.

Mathematics and Humor


John Allen Paulos - 1980
    C. Fields, and Woody Allen."Jokes, paradoxes, riddles, and the art of non-sequitur are revealed with great perception and insight in this illuminating account of the relationship between humor and mathematics."—Joseph Williams, New York Times"'Leave your mind alone,' said a Thurber cartoon, and a really complete and convincing analysis of what humour is might spoil all jokes forever. This book avoids that danger. What it does. . .is describe broadly several kinds of mathematical theory and apply them to throw sidelights on how many kinds of jokes work."—New Scientist"Many scholars nowadays write seriously about the ludicrous. Some merely manage to be dull. A few—like Paulos—are brilliant in an odd endeavor."—Los Angeles Times Book Review

The Scientist in the Crib: What Early Learning Tells Us About the Mind


Alison Gopnik - 1999
    It argues that evolution designed us both to teach and learn, and that the drive to learn is our most important instinct. It also reveals as fascinating insights about our adult capacities and how even young children -- as well as adults -- use some of the same methods that allow scientists to learn so much about the world. Filled with surprise at every turn, this vivid, lucid, and often funny book gives us a new view of the inner life of children and the mysteries of the mind.

Superintelligence: Paths, Dangers, Strategies


Nick Bostrom - 2014
    The human brain has some capabilities that the brains of other animals lack. It is to these distinctive capabilities that our species owes its dominant position. If machine brains surpassed human brains in general intelligence, then this new superintelligence could become extremely powerful--possibly beyond our control. As the fate of the gorillas now depends more on humans than on the species itself, so would the fate of humankind depend on the actions of the machine superintelligence.But we have one advantage: we get to make the first move. Will it be possible to construct a seed Artificial Intelligence, to engineer initial conditions so as to make an intelligence explosion survivable? How could one achieve a controlled detonation?

Common Sense, the Turing Test, and the Quest for Real AI


Hector J. Levesque - 2017
    AI is all the rage, and the buzziest AI buzz surrounds adaptive machine learning computer systems that learn intelligent behavior from massive amounts of data. This is what powers a driverless car, for example. In this book, Hector Levesque shifts the conversation to -good old fashioned artificial intelligence, - which is based not on heaps of data but on understanding commonsense intelligence. This kind of artificial intelligence is equipped to handle situations that depart from previous patterns -- as we do in real life, when, for example, we encounter a washed-out bridge or when the barista informs us there's no more soy milk.Levesque considers the role of language in learning. He argues that a computer program that passes the famous Turing Test could be a mindless zombie, and he proposes another way to test for intelligence -- the Winograd Schema Test, developed by Levesque and his colleagues. -If our goal is to understand intelligent behavior, we had better understand the difference between making it and faking it, - he observes. He identifies a possible mechanism behind common sense and the capacity to call on background knowledge: the ability to represent objects of thought symbolically. As AI migrates more and more into everyday life, we should worry if systems without common sense are making decisions where common sense is needed.