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.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

    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

    KEY TOPICS: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.

    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.

    Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. Features include: The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated.Carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence.An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. In addition to the text, DasGupta also offers a Solutions Manual, which is available on the Online Learning Center.Algorithms is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its subject. Like a captivating novel, it is a joy to read. Tim Roughgarden Stanford University

    A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? This is the first book to answer that question in language anyone can understand, revealing the extraordinary ideas that power our PCs, laptops, and smartphones. Using vivid examples, John MacCormick explains the fundamental "tricks" behind nine types of computer algorithms, including artificial intelligence (where we learn about the "nearest neighbor trick" and "twenty questions trick"), Google's famous PageRank algorithm (which uses the "random surfer trick"), data compression, error correction, and much more. These revolutionary algorithms have changed our world: this book unlocks their secrets, and lays bare the incredible ideas that our computers use every day.

    Are you overwhelmed by the selection of beers available at your local pub or favorite restaurant? Do you know the difference between a lager and an ale? Would you like to try brewing your own beer but are too afraid that you'd blow up the kitchen? Well, fear no more! "Beer For Dummies™ " is your prefect introduction to the world of beer, covering everything from microbrews to homebrewing -- with tips for how to match beer with food, how to pour and store beer properly, and how to enjoy your beer at its fullest! Inside, you'll find barrels of information on how to: Taste beer and evaluate its hops, malt, color, and clarity Decipher beer labels and read a beer menu like a pro Understand the "technical stuff" about beer and homebrewing techniques Recognize the characteristics of ales, lagers, and other beer styles Try beers from all over the world Pour, store, and drink beer from the right kinds of glassware Brew your own beer in the basement or kitchen Locate cool beer festivals, tastings, and events held around the world Join beer clubs or associations and subscribe to beer publications, online forums, and more

    Reflecting the need for even minor programming in today's model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensures that readers understand enough of the details to make reasonable choices and interpretations in their own modeling work.The text presents generalized linear multilevel models from a Bayesian perspective, relying on a simple logical interpretation of Bayesian probability and maximum entropy. It covers from the basics of regression to multilevel models. The author also discusses measurement error, missing data, and Gaussian process models for spatial and network autocorrelation.By using complete R code examples throughout, this book provides a practical foundation for performing statistical inference. Designed for both PhD students and seasoned professionals in the natural and social sciences, it prepares them for more advanced or specialized statistical modeling.Web ResourceThe book is accompanied by an R package (rethinking) that is available on the author's website and GitHub. The two core functions (map and map2stan) of this package allow a variety of statistical models to be constructed from standard model formulas.

    Based on the 5Cs of Survivability--cutting tools, covering, combustion devices, containers, and cordages--this valuable guide offers only the most important survival skills to help you craft resources from your surroundings and truly experience the beauty and thrill of the wilderness. Inside, you'll also discover detailed information on: Choosing the right items for your kit. Manufacturing needed tools and supplies. Collecting and cooking food. Protecting yourself from the elements. With Canterbury's guidance, you'll not only prepare yourself for any climate and situation, you'll also learn how to use the art of bushcraft to reconnect with nature in ways you've never imagined.

    Some call it morality. Others call it religion. But Bros in the know call this holy grail the Bro Code.Historically a spoken tradition passed from one generation to the next, the official code of conduct for Bros appears here in its published form for the first time ever. By upholding the tenets of this sacred and legendary document, any dude can learn to achieve Bro-dom.

    Amazingly, he completed the task in an intense six weeks, and Eine kurze Weltgeschichte für junge Leser was published in Vienna to immediate success, and is now available in seventeen languages across the world. Toward the end of his long life, Gombrich embarked upon a revision and, at last, an English translation. A Little History of the World presents his lively and involving history to English-language readers for the first time. Superbly designed and freshly illustrated, this is a book to be savored and collected. In forty concise chapters, Gombrich tells the story of man from the stone age to the atomic bomb. In between emerges a colorful picture of wars and conquests, grand works of art, and the spread and limitations of science. This is a text dominated not by dates and facts, but by the sweep of mankind's experience across the centuries, a guide to humanity's achievements and an acute witness to its frailties. The product of a generous and humane sensibility, this timeless account makes intelligible the full span of human history.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    After years of enduring her grandfather's sexual abuse, 14-year-old Samantha Hart runs away from her Pennsylvania family farm in search of her estranged father in Arizona.After a troubling reunion, she flees to the promising lights of La-La Land. Desperate to forget the past, she immerses herself in a spectacle of drugs, decadence, and money in Hollywood.But when a wealthy playboy mistakes her Pittsburgh accent for British, a new spiral of white lies begins, and a new identity is born. Swept to Europe, Samantha floats through champagne parties, sexual adventures, and a whirlwind of international escapades. With a portfolio of nude photos under her arm, she is determined to make something of herself.Will her young, broken spirit find the strength to persevere, to survive the unsurvivable? Will she transcend the temptation to give up in a world that seems so set against her?BLIND PONY: AS TRUE A STORY AS I CAN TELL is the tale of one young woman's unwillingness to accept the circumstances life dealt her, and instead, takes the reins to find success beyond her wildest dreams.