A complex system--such as an economy or a tropical ecosystem--consists of interacting adaptive entities that produce dynamic patterns and structures. Diversity plays a different role in a complex system than it does in an equilibrium system, where it often merely produces variation around the mean for performance measures. In complex adaptive systems, diversity makes fundamental contributions to system performance.Scott Page gives a concise primer on how diversity happens, how it is maintained, and how it affects complex systems. He explains how diversity underpins system level robustness, allowing for multiple responses to external shocks and internal adaptations; how it provides the seeds for large events by creating outliers that fuel tipping points; and how it drives novelty and innovation. Page looks at the different kinds of diversity--variations within and across types, and distinct community compositions and interaction structures--and covers the evolution of diversity within complex systems and the factors that determine the amount of maintained diversity within a system. Provides a concise and accessible introduction Shows how diversity underpins robustness and fuels tipping points Covers all types of diversity The essential primer on diversity in complex adaptive systems

    Until his writing, the intricate knots, interlacings, and spirals used in illuminating The Book of Kells and in decorating craftwork and jewelry seemed almost impossible, "the work of angels." In this pioneering work, George Bain shows how simple principles, no more difficult than those used in needlecraft, were used to create some of the finest artistic works ever seen. He also explains how you can use these principles in re-creating artifacts and in creating your own Celtic designs for art and craft work or even for recreational use.Step-by-step procedures carefully introduce the simple rules and methods of Celtic knot work and the well-known designs from the great manuscripts and stone work. Later chapters build up to complex knot work, spiral work, and key pattern designs, with special coverage of alphabets and the stylized use of animals, humans, and plants. Altogether over 225 different patterns are presented for your use, with hundreds of modification suggestions, 110 historical and modern artifacts showing designs in use, a great number of letters including six complete alphabets and 25 decorative initials, and a number of animal and human figures used in the original Celtic works.Artists, students, craftspeople, even children can work with these patterns and instructions for creating dynamic designs for use in leather work, in embroidery and other needle work, in metalwork, jewelry making, card design, borders, panels, illuminations, and in countless other ways. Mathematicians will find a great deal of pleasure in the geometric principles on which the patterns are based. Art historians and others interested in studying Celtic art will find a great number of outstanding art works and the best presentation in English for understanding Celtic design.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    In their fun and friendly teaching style, Mark and Mary Willenbrink show you how to realistically capture the world around you. All you need to get started are some simple supplies, basic techniques, and inspiration. From field to forest, beach or mountain, begin with a structural sketch, apply values and textures, and, before you know it, you'll be drawing everything you see. You'll even learn how to render favorite wildlife such as chipmunks, deer and eagles! Follow along with easy step-by-step demonstrations to draw rocks, seashells, butterflies and even more developed nature scenes. Gain a working understanding of key concepts such as perspective, value and composition. Discover simple tools and tips you can use right away to improve your art. Your artistic journey can be as pleasant as your final destination with drawing instruction meant for everyone.

    Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory.All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points.The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated referencesNow current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.

    This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

    We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers.

    The book takes us from the Greeks' earliest scientific observations through Einstein and beyond in an inspiring celebration of human curiosity. It ends with the quest for the Higgs boson, nicknamed the God Particle, which scientists hypothesize will help unlock the last secrets of the subatomic universe. With a new preface by Lederman, The God Particle will leave you marveling at our continuing pursuit of the infinitesimal.

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

    Architecture 101 cuts out the boring explanations, and instead provides a hands-on lesson that keeps you engaged as you explore the world's greatest structures.Featuring only the most important facts, building styles, and architects, you'll enjoy uncovering the remarkable world of architecture with this book. Inside, you'll also find fascinating elements like:Illustrations of popular building styles, such as Georgian and Greek RevivalDrawings of the essential parts of different buildingsUnique profiles of the most inspirational figures in architectureFrom Norman Foster and Frank Lloyd Wright to the Beauvais Cathedral and the Empire State Building, Architecture 101 is packed with hundreds of entertaining architecture tidbits that you can't get anywhere else!

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    Hockney’s extensive research led him to conclude that artists such as Caravaggio, Velázquez, da Vinci, and other hyperrealists actually used optics and lenses to create their masterpieces.In this passionate yet pithy book, Hockney takes readers on a journey of discovery as he builds a case that mirrors and lenses were used by the great masters to create their highly detailed and realistic paintings and drawings. Hundreds of the best-known and best-loved paintings are reproduced alongside his straightforward analysis. Hockney also includes his own photographs and drawings to illustrate techniques used to capture such accurate likenesses. Extracts from historical and modern documents and correspondence with experts from around the world further illuminate this thought-provoking book that will forever change how the world looks at art.Secret Knowledge will open your eyes to how we perceive the world and how we choose to represent it.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    First, you will master these basic concepts:* Composition* Exposure* Shutter speed* Aperture* Depth-of-field* ISO* Natural light* Flash* Posing* Troubleshooting bad pictures* Using raw files* Studio lighting* Night photography* HDR* Macro/close-up photographyThen, you will learn the pro's secrets for photographing these subjects:* People (candid, casual, formal, and underwater portraits)* Weddings* Pets* Wildlife (mammals, birds, insects, fish, and more)* Landscapes* Cityscapes* Sunrises and sunsets* Flowers* Forests, waterfalls, and rivers* Fireworks* Stars