In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Great for the beginner and the expert, this book offers readers exercises to improve their work.

    Let's face it, comparing cats and dogs is like, well, like comparing apples and oranges. They are different, and they have different needs. A dog is a pack animal that needs a leader. By nature a dog expects to get rubbed and wrestled with. Dogs like to horse around. A cat does not. A cat is a solitary predator and needs its space. But what both cats and dogs do need is your love and attention. Just because a cat is, by nature, independent doesn't mean that he or she doesn't need your praise or physical affection. There are a lot of myths about cats -- like the one above -- that lead to their mistreatment. By learning more about what makes a cat a cat, you will be better able to give your feline the space, care, and love that he or she needs. And this sentiment couldn't be truer when it comes to training your cat. Hitting or yelling at your cat when he scratches his claws on your nice new couch just doesn't make sense. Your cat is only being a cat. He needs to scratch his nails so they can stay healthy and strong. Also, scratching helps a cat relieve stress and relax. Imagine being yelled at and hit for sprawling out on the couch with a magazine and a glass of nice red wine after a long day's work. You must align your training expectations with your cat's needs if you want to have a happy, well-trained cat. Johnson-Bennett advises you to "get on her level emotionally, physically, and mentally in order to map out an effective training plan." She outlines three basic methods for training: positive reinforcement (rewarding kitty for good behavior), remote control (spraying kitty with a water gun when she jumps on the kitchen counter), and redirection (getting kitty to scratch on a scratching post instead of your expensive couch). By using these training methods in the first place, you will get a head start in establishing good behavior, and in the process you and your cat will become closer.If you want to learn more about your cat and what you can do to strengthen and enjoy your relationship with each other, then Think Like a Cat should really be on your reading list. From years of experience as a vet technician and as an adoring cat owner, Johnson-Bennett knows her stuff. And she covers it all in this book -- from grooming, training, health, and nutrition to emergency care, games, and toys. So get ready to hear a lot more purring around the house!—Jen Forman

    Along the way he provides an engaging and witty commentary while introducing the lay reader to both classic and cutting-edge concepts in physics, including:What Superman's strength can tell us about the Newtonian physics of force, mass, and accelerationHow Iceman's and Storm's powers illustrate the principles of thermal dynamicsThe physics behind the death of Spider-Man's girlfriend Gwen StacyWhy physics professors gone bad are the most dangerous evil geniuses!

    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    While unraveling the inner workings of the human mind it also introduces many of the luminaries in the field along the way, including William James, Aaron Beck, and (of course) Sigmund Freud. From Behaviorism to Cognitivism, what better way to get a handle on your inner demons?Wundt's introspection --Watson's behaviorism --Psychoanalysis - Profile: Sigmund Freud --The cognitive revolution --Evolutionary psychology --Positive psychology --Piaget's stages --Vygotsky's zone --Birth order --Profile: Jean Piaget --Harlow's monkeys --Kohlberg's moral stages --Neuroplasticity --Ekman's universal emotions --Festinger's boring task --James-Lange theory of emotion --Profile: William James --Damasio's emotional decision making --Wason's confirmation bias --Baumeister's ego depletion --Kahneman & Tversky's prospect theory --The bystander effect --Jansi's groupthink --Allport's contact hypothesis --Zimbardo's prison --Profile: Stanley Milgram --Milgram's obedience study --Stereotype threat --Follow the leader --The Lake Wobegon effect --The big five --Fundamental attribution error --Profile: Hans Eysenck --Nature via nurture --The Flynn effect --Ericsson's 10,000-hour rule --Nominative determinism --Sperry's split brains --Seligman's prepared learning --Charcot's hysteria --Rosenhan's insane places --Profile Aaron Beck --Kapur's aberrant salience --Maslow's humanistic psychology --Beck's cognitive therapy --Extreme male brains --The placebo effect --Pavlov's dogs --Sapir-Whorf hypothesis --Chomsky's universal grammar --Loftus's false memories --Profile: Elizabeth Loftus --Embodied cognition --Broadbent's bottleneck --Miller's seven --Consciousness

    One hundred crystal-clear articles explore the Law Code of Hammurabi, the Renaissance, the American Revolution, World War II, and much, much more, bringing the events and people of history to life.As part of DK's award-winning Big Ideas Simply Explained series, The History Book uses infographics and images to explain key ideas and themes. Biographies of key leaders, thinkers, and warriors, from Julius Caesar to Barack Obama, offer insight into their lives and further historical insight into these world-changing episodes.The History Book makes the past 4,000 years of history accessible and provides enlightenment on the forces that shaped the world as we know it today, for students and history buffs alike.Series Overview: Big Ideas Simply Explained series uses creative design and innovative graphics, along with straightforward and engaging writing, to make complex subjects easier to understand. These award-winning books provide just the information needed for students, families, or anyone interested in concise, thought-provoking refreshers on a single subject.Reviews:"[The Big Ideas Simply Explained books] are beautifully illustrated with shadow-like cartoons that break down even the most difficult concepts so they are easier to grasp. These step-by-step diagrams are an incredibly clever learning device to include, especially for visual learners." - Examiner.com"The visual layout promotes browsing with illustrations, pull quotes, and simple mind maps to explain concepts quickly." - Library Journal"Accessible guide to the great thinkers." - School Library Journal"Clever and engaging." - Booklist

    The science consultant with "The X-Files" takes an official and entertaining look at the science behind this sci-fi phenomenon, revealing many scientific facts that are even more bizarre than fiction.

    But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.Hidden symmetries were first discovered nearly two hundred years ago by French mathematician �variste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

    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.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    From the Senate, SATs, and sex, to crime, celebrities, and cults, he takes stories that may not seem to involvemathematics at all and demonstrates how a lack of mathematical knowledge canhinder our understanding of them.After reading A Mathematician Reads the Newspaper, it will beimpossible to look at the newspaper in the same way.-- PhiladelphiaInquirer It would be great to have John Allen Paulos living next door. Everymorning when you read the paper and come across some story that didn't seemquite right--that had the faint odor of illogic hovering about it-- you couldjust lean out the window and shout, 'John! Get the hell over here!'. A fun, spunky, wise little book that would be helpful to both the consumers of thenews and its purveyors. -- Washington Post Book World

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures.The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary onthe puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking throughmore difficult puzzles.