The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Are You Up to the Challenge? With just watercolors, colored pencils, and white gouache, artist Mark Crilley takes you step-by-step through his process for producing stunning, hyperrealistic recreations of everyday items. Based on Crilley’s mega-popular “Realism Challenge” YouTube videos, The Realism Challenge contains thirty lessons demonstrating how to render mirror-like duplicates in the trompe l’oeil tradition of everything from shells, leaves, and candy bars to your very own still life arrangements. Each lesson builds off the previous one, as you’ll master essential artistic techniques like creating drop shadows, adding highlights, and building from light to dark. Learn the secrets of one of hyperrealism’s biggest stars. Come take . . . The Realism Challenge!

    Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.

    Scholars and students need to be able to analyze, design and curate information into useful tools of communication, insight and understanding. This book is the starting point in learning the process and skills of data visualization, teaching the concepts and skills of how to present data and inspiring effective visual design. Benefits of this book: A flexible step-by-step journey that equips you to achieve great data visualization.A curated collection of classic and contemporary examples, giving illustrations of good and bad practice Examples on every page to give creative inspiration Illustrations of good and bad practice show you how to critically evaluate and improve your own work Advice and experience from the best designers in the field Loads of online practical help, checklists, case studies and exercises make this the most comprehensive text available

    Collected here for the first time in one deluxe volume are over 100 of these vintage educational posters now important relics in the history of science, art, and design. From the anatomy of a tulip or an apple tree to that of a hedgehog or starfish, the botanical and zoological images in this collection are captivating with their curious visuals and intricate details. With a compelling introduction about the history of educational charts and their production, The Art of Instruction provides a glimpse into a rich, significant heritage and will enlighten those with an interest in art, design, science, or natural history.

    With the right tools, we can start to make sense of all this data to see patterns and trends that would otherwise be invisible to us. By transforming numbers into graphical shapes, we allow readers to understand the stories those numbers hide. In this practical introduction to understanding and using information graphics, you'll learn how to use data visualizations as tools to see beyond lists of numbers and variables and achieve new insights into the complex world around us. Regardless of the kind of data you're working with-business, science, politics, sports, or even your own personal finances-this book will show you how to use statistical charts, maps, and explanation diagrams to spot the stories in the data and learn new things from it.You'll also get to peek into the creative process of some of the world's most talented designers and visual journalists, including Conde Nast Traveler's John Grimwade, National Geographic Magazine's Fernando Baptista, The New York Times' Steve Duenes, The Washington Post's Hannah Fairfield, Hans Rosling of the Gapminder Foundation, Stanford's Geoff McGhee, and European superstars Moritz Stefaner, Jan Willem Tulp, Stefanie Posavec, and Gregor Aisch. The book also includes a DVD-ROM containing over 90 minutes of video lessons that expand on core concepts explained within the book and includes even more inspirational information graphics from the world's leading designers.The first book to offer a broad, hands-on introduction to information graphics and visualization, The Functional Art reveals:- Why data visualization should be thought of as "functional art" rather than fine art - How to use color, type, and other graphic tools to make your information graphics more effective, not just better looking - The science of how our brains perceive and remember information - Best practices for creating interactive information graphics - A comprehensive look at the creative process behind successful information graphics - An extensive gallery of inspirational work from the world's top designers and visual artistsOn the DVD-ROM: In this introductory video course on information graphics, Alberto Cairo goes into greater detail with even more visual examples of how to create effective information graphics that function as practical tools for aiding perception. You'll learn how to: incorporate basic design principles in your visualizations, create simple interfaces for interactive graphics, and choose the appropriate type of graphic forms for your data. Cairo also deconstructs successful information graphics from The New York Times and National Geographic magazine with sketches and images not shown in the book.

    In Landscape Painting, Mitchell Albala shares his concepts and practices for translating nature's grandeur, complexity, and color dynamics into convincing representations of space and light.  Concise, practical, and inspirational, Landscape Painting focuses on the greatest challenges for the landscape artist, such as: •  Simplification and Massing: Learn to reduce nature's complexity by looking beneath the surface of a subject to discover the form's basic masses and shapes.•  Color and Light: Explore color theory as it specifically applies to the landscape, and learn the various strategies painters use to capture the illusion of natural light.•  Selection and Composition: Learn to select wisely from nature's vast panorama. Albala shows you the essential cues to look for and how to find the most promising subject from a world of possibilities. The lessons in Landscape Painting—based on observation rather than imitation and applicable to both plein air and studio practice—are accompanied by painting examples, demonstrations, photographs, and diagrams. Illustrations draw from the work of more than 40 contemporary artists and such masters of landscape painting as John Constable, Sanford Gifford, and Claude Monet.  Based on Albala's 25 years of experience and the proven methods taught at his successful plein air workshops, this in-depth guide to all aspects of landscape painting is a must-have for anyone getting started in the genre, as well as more experienced practitioners who want to hone their skills or learn new perspectives.

    Gamow, physicist and gifted writer, has sketched an intriguing portrait of the scientists and clashing ideas that made the quantum revolution…”—Christian Science MonitorIn 1900, German physicist Max Planck postulated that light, or radiant energy can exist only in the form of discrete packages or quanta. This profound insight, along with Einstein's equally momentous theories of relativity, completely revolutionized man's view of matter, energy, and the nature of physics itself.In this lucid layman's introduction to quantum theory, an eminent physicist and noted popularizer of science traces the development of quantum theory from the turn of the century to about 1930—from Planck's seminal concept (still developing) to anti-particles, mesons and Enrico Fermi's nuclear research. Gamow was not just a spectator at the theoretical breakthroughs which fundamentally altered our view of the universe, he was an active participant who made important contributions of his own. This “insider's” vantage point lends special validity to his careful, accessible explanation of Heisenberg's Uncertainty Principle, Neils Bohr's model of the atom, the pilot waves of Louis de Broglie and other path-breaking ideas.In addition, Gamow recounts a wealth of revealing personal anecdotes which give a warm human dimension to many giants of 20th-century physics. He end the book with the Blegdamsvej Faust, a delightful play written in 1932 by Niels Bohr's students and colleagues to satirize the epochal developments that were revolutionizing physics. This celebrated play is available only in this volume.Written in a clear, lively style, and enhanced by 12 photographs (including candid shots of Rutherford, Bohr, Pauli, Heisenberg, Fermi and other notables), Thirty Years that Shook Physics offers both scientists and laymen a highly readable introduction to the brilliant conception that helped unlock many secrets of energy and matter and laid the groundwork for future discoveries.(Back Cover)

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    Switching from thin tailed to fat tailed distributions requires more than "changing the color of the dress." Traditional asymptotics deal mainly with either n=1 or n=∞, and the real world is in between, under the "laws of the medium numbers"-which vary widely across specific distributions. Both the law of large numbers and the generalized central limit mechanisms operate in highly idiosyncratic ways outside the standard Gaussian or Levy-Stable basins of convergence. A few examples: - The sample mean is rarely in line with the population mean, with effect on "na�ve empiricism," but can be sometimes be estimated via parametric methods. - The "empirical distribution" is rarely empirical. - Parameter uncertainty has compounding effects on statistical metrics. - Dimension reduction (principal components) fails. - Inequality estimators (Gini or quantile contributions) are not additive and produce wrong results. - Many "biases" found in psychology become entirely rational under more sophisticated probability distributions. - Most of the failures of financial economics, econometrics, and behavioral economics can be attributed to using the wrong distributions. This book, the first volume of the Technical Incerto, weaves a narrative around published journal articles.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    Never again will you order the Poisson Distribution in a French restaurant!This updated version features all new material.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.