Created by a Hungarian nobleman, the machine-man known as The Turk traveled Europe and America, made the acquaintance of Benjamin Franklin, Catherine the Great, Napoleon Bonaparte, and Edgar Allan Poe.

    It's about the broken, wrinkled, wiggly world - the uneven shapes of nature, unlike the idealized forms of Euclidean geometry. We see fractals everywhere; indeed we are fractal! Fractal Geometry is an extension of classical geometry. Using computers, it can make precise models of physical structures - from ferns to galaxies. Fractal geometry is a new language. Once you speak it, you can describe the shape of cloud as precisely as an architect can describe a house.

    Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea.From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    What I eat. And how I stay lean. If you are over the age of 50 there is no better time to get VERY FIT!! And have the body you truly desire despite your age!!Fitness over 50: Weekly Workout Plan! by Christopher Quinn

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    In his latest book, you’ll learn exactly how to develop laser-sharp focus so that you can complete your key projects and achieve your major goals. Master Your Focus is a clear and concise walkthrough that demonstrates how to use the power of focus to achieve tangible results. Using Thibaut’s straightforward instructions, you’ll learn how to zero-in on key tasks and stick to them until you complete them 100%.  In Master Your Focus, you’ll discover: What true productivity really is (and how to master it)  The 3 types of focus and how exactly you can develop each of them  How to stop jumping from one thing to the next and finally complete your key tasks (and why this is so critical)  How to dramatically reduce your learning curve by finding the right information and applying it effectively  How to achieve more by doing less  The 17 simple strategies to boost your focus And much more. Master Your Focus is your must-read guide to help you sharpen your focus and skyrocket your results long term. If you like easy-to-understand strategies, practical exercises, and no-nonsense teaching, you will love this book. Buy Master Your Focus to sharpen your focus today! This book is the third book in the "Mastery Series" below: Book 1 - Master Your Emotions: A Practical Guide to Overcome Negativity and Better Manage Your Feelings Book 2 - Master Your Motivation: A Practical Guide to Unstick Yourself, Build Momentum and Sustain Long-Term Motivation

    This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    It's not just a list of "superfoods" or trendy exercises; the course takes a rigorous scientific approach to human vitality. Energy is a limited resource; learn to allocate yours in the best way possible to make the most of each day.

    In our ever-more-polarized society, there’s at least one thing we still agree on: The world is overrun with misinformation, faulty logic, and the gullible followers who buy into it all. Of course, we’re not among them—are we? Scientist David Robert Grimes is on a mission to expose the logical fallacies and cognitive biases that drive our discourse on a dizzying array of topics–from vaccination to abortion, 9/11 conspiracy theories to dictatorial doublespeak, astrology to alternative medicine, and wrongful convictions to racism. But his purpose in Good Thinking isn’t to shame or place blame. Rather, it’s to interrogate our own assumptions–to develop our eye for the glimmer of truth in a vast sea of dubious sources–in short, to think critically. Grimes’s expert takedown of irrationality is required reading for anyone wondering why bad thinking persists and how we can defeat it. Ultimately, no one changes anyone else’s mind; we can only change our own–and give others the tools to do the same.

    With problems and solutions. Includes 99 illustrations.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    Halpern is funny. He is handsome. He likes to laugh. I love Mr. Halpern. How can I top that? Who doesn't want to be funny, handsome, laugh all the time, and be loved by their students? What they don't know is I left a dreary cubicle job for the exciting, never boring life of a kindergarten teacher eight years ago and never looked back. I have seen and heard some crazy, hilarious, and even touching moments. Look at My Happy Rainbow is my account of the first few years working in a kindergarten classroom experiencing the day to day trials and tribulations and trying to see the world a little more through the eyes of a five-year-old. From the first time a child reached up to take my hand to learning the true value of zipping a coat, being a 'rooster in a world of hens' my unique perspective on teaching and children will (hopefully) warm your heart, make you laugh, and might even help you remember what it felt like to be in kindergarten. Warning: I have a very short attention span (this is why I'm so well suited to teach kindergarten). Some of the chapters are short. One is less than one page. I think this makes the book 'charming', but please know - this is not War and Peace.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature