The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Is that butterfly outside your window a Monarch or a Giant Swallowtail? What's the best kind of feeder for attracting birds to your backyard? This pocket-size, brilliantly colorful, simple-to-use guide is an ideal introduction to the birds of the Eastern United States. It contains dozens of full-color photographs that enable readers of all ages to identify the most common species; range maps; tips on attracting and observing birds; information on habitat needs, life cycle, food preferences; and much more. Special features include:Coverage of 100 speicesUnique organization by birds' plumage colorsUser-friendly color tab index for quick referenceBrilliant full-color photographs of each species, plus separate images of male and female when plumage differsUseful tips for attracting birdsInformation on voice, habitat, nest, eggs, incubation time, population trends, behavior, birdhouse and feeder preferences, and much more

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    

    Vivid photos capture these historically important machinesincluding the Eniac, Crays 13, Apple I and IIwhile authoritative text profiles each, telling the stories of their innovations and peculiarities. Thirty-five machines are profiled in over 100 extraordinary color photographs, making Core Memory a surprising addition to the library of photography collectors and the ultimate geek-chic gift.

    Missile trajectories. Cornering dynamics in speeding cars. By applying the laws of physics, you can realistically model nearly everything in games that bounces around, flies, rolls, slides, or isn't sitting still, to create compelling, believable content for computer games, simulations, and animation. "Physics for Game Developers" serves as the starting point for those who want to enrich games with physics-based realism.Part one is a mechanics primer that reviews basic concepts and addresses aspects of rigid body dynamics, including kinematics, force, and kinetics. Part two applies these concepts to specific real-world problems, such as projectiles, boats, airplanes, and cars. Part three introduces real-time simulations and shows how they apply to computer games. Many specific game elements stand to benefit from the use of real physics, including: The trajectory of rockets and missiles, including the effects of fuel burn offThe collision of objects such as billiard ballsThe stability of cars racing around tight curvesThe dynamics of boats and other waterborne vehiclesThe flight path of a baseball after being struck by a batThe flight characteristics of airplanesYou don't need to be a physics expert to learn from "Physics for Game Developers, " but the author does assume you know basic college-level classical physics. You should also be proficient in trigonometry, vector and matrix math (reference formulas and identities are included in the appendixes), and college-level calculus, including integration and differentiation of explicit functions. Although the thrust of the book involves physics principles and algorithms, it should be noted that the examples are written in standard C and use Windows API functions.

    Legions of fans have written to her, asking for more recipes that focus on their specific family challenges. She’s heard them loud and clear, and has crafted meals that are targeted to these special needs, including:• Sneaky Chef Light: Delicious recipes for kids struggling with their weight: with lower calories, lower fat—and all the taste!• Sneaky Chef for Food Allergies. For the millions of children who suffer from food allergies, here are recipes that are dairy-free, egg-free, and gluten-free.• Sneaky Chef for More Variety—More make-ahead purees and crafty, kid-friendly recipes the whole family will love.• Sneaky Chef Celebrates! Even special days can be healthy, as the Sneaky Chef unveils recipes for birthdays, Thanksgiving, Christmas, Chanukah, Valentine’s Day, Passover, Easter, and more!Sneaky Chef to the Rescue shows that any family can “sneak” good food into their diets, making everybody (both kids and adults) both happier and healthier.

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    Here are Alexander von Humboldt, whose epic explorations of South America surpassed the Lewis and Clark expedition; Harriet Beecher Stowe, “the little woman who made the big war”; Frederic Remington; the extraordinary Louis Agassiz of Harvard; Charles and Anne Lindbergh, and their fellow long-distance pilots Antoine de Saint-Exupéry and Beryl Markham; Harry Caudill, the Kentucky lawyer who awakened the nation to the tragedy of Appalachia; and David Plowden, a present-day photographer of vanishing America. Different as they are from each other, McCullough’s subjects have in common a rare vitality and sense of purpose. These are brave companions: to each other, to David McCullough, and to the reader, for with rare storytelling ability McCullough brings us into the times they knew and their very uncommon lives.

    A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.In The Advent of the Algorithm, David Berlinski combines science, history, and math to explain and explore the intriguing story of how the algorithm was finally discovered by a succession of mathematicians and logicians, and how this paved the way for the digital age. Beginning with Leibniz and culminating in the middle of the twentieth century with the groundbreaking work of Gödel and Turing, The Advent of the Algorithm is an epic tale told with clarity and imaginative brilliance.

    Plus, One Finger Jimmy and the rest of the gang are here to show how dangerous maths can be.

    The new edition features additional styles and functions, improved font handling, and enhanced graphics capabilities. Other parts of the book have been revised to reflect user comments and suggestions. Selected sections have been rewritten to explain challenging concepts or functions, and the descriptions of both MakeIndex and BibTEX have been updated. New LATEX users will want to start with this book, and current users, particularly as they upgrade to the LATEX2e software, will be eager to obtain the most up-to-date version of its associated manual. Features Revised version of the authoritative user's guide and reference manual for the LATEX computer typesetting system. Features the new standard software release - LATEX2e. Sections rewritten to explain difficult concepts or functions.

    That was before they burst upon my life as vibrant, luminous beings, permeating my art and my everyday existence, causing glorious havoc..." In the long-awaited sequel to the international bestseller "Faeries", artist Brian Froud rescues pixies, gnomes, and other faeries from the isolation of the nursery and the distance of history, bringing them into the present day with vitality and imagination. In this richly imagined new book, Brian reveals the secrets he has learned from the faeries-- what their noses and shoes look like, what mischief and what gentle assistance they can give, what their souls and their dreams are like.As it turns out, faeries aren't all sweetness and light. In addition to such good faeries as Dream Weavers and Faery Godmothers, Brian introduces us to a host of less well behaved creatures-- traditional bad faeries like Morgana le Fay, but also the Soul Shrinker and the Gloominous Doom. The faery kingdom, we find, is as subject to good and evil as the human realm. Brilliantly documenting both the dark and the light, "Good Faeries/Bad Faeries" presents a world of enchantment and magic that deeply compels the imagination.

    Some of the 50 flower images in this collection, all in colour, date from the early 1980s, but many of them from the months leading to his death in 1989.

    Escher, I am absolutely crazy about your work. In your print Reptiles you have given such a striking illustration of reincarnation.' I replied, 'Madame, if that's the way you see it, so be it, '" An engagingly sly comment by the renowned Dutch graphic artist Maurits Cornelis Escher (1898-1972)--the complex ambiguities of whose work leave hasty or single-minded interpretations far behind. Long before the first computer-generated 3-D images were thrilling the public, Escher was a master of the third dimension. His lithograph "Magic Mirror" dates as far back as 1946. In taking that title for this book, mathematician Bruno Ernst is stressing the magic spell Escher's work invariably casts on those who see it. Ernst visited Escher every week for a year, systematically talking through his entire oeuvre with him. Their discussions resulted in a friendship that gave Ernst intimate access to the life and conceptual world of Escher. Ernst's account was meticulously scrutinized and made accurate by the artist himself. Escher's work refuses to be pigeonholed. Scientific, psychological, or aesthetic criteria alone cannot do it justice. The questions remain. Why did he create the pictures? How did he construct them? What preliminary studies were necessary before he could arrive at the final version? And how are the various images Escher created interrelated? This book, complete with biographical data, 250 illustrations, and explications of mathematical problems, offers answers to these and many other questions, and is an authentic source text of the first order.