As miraculous a feat of nature as the snowflakes has been, have we ever been truly able to appreciate this infinitesimal wonder in all its crystalline glory? Art of the Snowflake, as much a work of art as a testament to science, reveals how one of the snowflake's most inspired photographers came to such intimate knowledge of his craft and its fleeting focus. Beautiful pictures illustrate Kenneth Libbrecht's story of the microphotography of snow crystals, from the pioneering work of Wilson Bentley in the 1890s right up to Ken's own innovations in our age of digital images. A breathtaking look at the works of art that melt in an instant, this is a book to flip through and savor, season after season.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    We’ll look at what identical twins can teach us about the epigenetic effects of our environment and experiences, why certain genes are 'switched on' or off at various stages of embryonic development, and how scientists have reversed the specialization of cells to clone frogs from a single gut cell. In Introducing Epigenetics, Cath Ennis and Oliver Pugh pull apart the double helix, examining how the epigenetic building blocks and messengers that interpret and edit our genes help to make us, well, us.

    state of Delaware in the Brazilian Amazon. His intention was to grow rubber, but the project rapidly evolved into a more ambitious bid to export America itself, along with its golf courses, ice-cream shops, bandstands, indoor plumbing, and Model Ts rolling down broad streets.Fordlandia, as the settlement was called, quickly became the site of an epic clash. On one side was the car magnate, lean, austere, the man who reduced industrial production to its simplest motions; on the other, the Amazon, lush, extravagant, the most complex ecological system on the planet. Ford's early success in imposing time clocks and square dances on the jungle soon collapsed, as indigenous workers, rejecting his midwestern Puritanism, turned the place into a ribald tropical boomtown. Fordlandia's eventual demise as a rubber plantation foreshadowed the practices that today are laying waste to the rain forest. More than a parable of one man's arrogant attempt to force his will on the natural world, Fordlandia depicts a desperate quest to salvage the bygone America that the Ford factory system did much to dispatch. As Greg Grandin shows in this gripping and mordantly observed history, Ford's great delusion was not that the Amazon could be tamed but that the forces of capitalism, once released, might yet be contained.

    Escher / J.L. Locher --Escher : science and fiction / C.H.A. Broos --Approaches to infinity / M.C. Escher --Structural sensation / G.W. Locher --The mathematical implications of Escher's prints / H.S.M. Coxeter.

    Kelly's photos prove that this perspective--from 250 miles above Earth-- while hard-won, is also almost unspeakably beautiful. A gift for photography helped make Kelly a social media sensation, and here his photos are collected alongside his own commentary, which set the images in their proper contexts, human and cosmic.Kelly captures sunsets, moonrises, the aurora borealis, and the luminous, hazy tapestry of the Milky Way. He presents snapshots of life and work on the International Space Station, from spacewalks to selfies. But above all--or floating amidst all--he takes the earth itself as his celestial muse. Here are hurricanes, wrinkled mountains, New York City shining like a galaxy--glorious photographs that are, in themselves, a passionate argument for the preservation of our planet in the face of climate change and environmental destruction.

    This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best. The explanations, theorems, and definitions have been thoroughly and critically reviewed. Additionally, the exercise sets have been carefully and extensively examined to ensure they cover all calculus topics appropriately. Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety of question formats, including matching, free response, true/false, modeling, and fill-in the blank. The Eduspace online resources have been integrated into a comprehensive learning system that combines numerous dynamic calculus resources with online homework and testing materials. Eduspace with eSolutions combines all the features of Eduspace with an electronic version of the textbook exercises and the complete solutions to the odd-numbered text exercises, providing students with a convenient and comprehensive way to do homework and view the course materials. The Integrated Learning System addresses the changing needs of today's instructors and students. Recognizing that the calculus course is presented in a variety of teaching and learning environments, the program resources are available in print, CD-ROM, and online formats. SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.

    Only recently has science sought in earnest to understand and explain this impact. One remarkable recent study, analyzing the cries of newborns, shows that infants' cries contain common musical intervals, and children tease each other in specific, singsong ways no matter where in the world they live. Physics experiments show that sound waves can physically change the structure of a material; musician and world-famous conductor Daniel Barenboim believes musical sound vibrations physically penetrate our bodies, shifting molecules as they do. The Power of Music follows visionary researchers and accomplished musicians to the crossroads of science and culture, to discover: how much of our musicality is learned and how much is innate? Can examining the biological foundations of music help scientists unravel the intricate web of human cognition and brain function? Why is music virtually universal across cultures and time-does it provide some evolutionary advantage? Can music make people healthier? Might music contain organizing principles of harmonic vibration that underlie the cosmos itself?

    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

    This is a clear, vivid text with charts and maps showing the positions of the constellations the year round.

    Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge.Diaconis and Graham tell the stories--and reveal the best tricks--of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick--and much more.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    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.

    All of them - hikers, hunters, fishermen, campers, and canoeists - are drawn to the woods for some special reason. Yet few of them see the forest as a whole, as the web of life it truly is. Here, from New York Times bestselling author Richard M. Ketchum, is the extraordinary story of forests and the trees that comprise them.

    In Leonardo da Vinci, Sherwin Nuland completes his twenty-year quest to understand an unlettered man who was a painter, architect, engineer, philosopher, mathematician, and scientist. What was it that propelled Leonardo's insatiable curiosity? Nuland finds clues in his subject's art, relationships, and scientific studies--as well as in a vast quantity of notes that became widely known in the twentieth century. Scholarly and passionate, Nuland's Leonardo da Vinci takes us deep into the first truly modern, empirical mind, one that was centuries ahead of its time.