xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

    . . 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

    Respect all life2. Live as part of the Animal Kingdom3. Educate our children to respect animals4. Treat animals as you would like to be treated5. Be a steward6. Value the sounds of nature and help preserve them7. Do not harm life in order to learn about it8. Have the courage of your convictions9. Act knowing that your actions make a difference10. Act knowing that you are not alone.Filled with inspirational stories, The Ten Trusts provides lessons Jane Goodall has learned from a lifetime of experience, with the warmth and emotion her readers have come to expect from her. Marc Bekoff, cofounder of the Roots and Shoots program with Jane, also contributes his profound insights and research, which Jane has come to rely on. Together, they share their hope and vision for humanity and all the earth's creatures, distilled into ten eloquent spiritual lessons. Within these ten trusts, Goodall reveals how we can gain true enlightenment by living in harmony with the animal kingdom and honoring the interconnection between all species.

    Authors Peter Tompkins and Christopher Bird suggest that the most far-reaching revolution of the 20th century — one that could save or destroy the planet — may come from the bottom of your garden."Almost incredible ... bristles with plenty of hard facts and astounding scientific and practical lore." —S. K. Oberbeck, Newsweek“This fascinating book roams ... over that marvelous no man's land of mystical glimmerings into the nature of science and life itself." —Henry Mitchell, Washington Post Book World“If I can't ‘get inside a plant’ or ‘feel emanations’ from a plant and don't know anyone else who can. that doesn't detract one whit from the possibility that some people can and do. . . .According to The Secret Life of Plants, plants and men do inter-relate, with plants exhibiting empathetic and spiritual relationships and showing reactions interpreted as demonstrating physical-force connections with men. As my students say, ‘hey, wow!’"—Richard M. Klein, Professor of Botany, University of Vermont (in Smithsonian)

    It is the root of our existence, supporting our feet, our farms, our cities. This fascinating yet disquieting book finds, however, that we are running out of dirt, and it's no laughing matter. An engaging natural and cultural history of soil that sweeps from ancient civilizations to modern times, Dirt: The Erosion of Civilizations explores the compelling idea that we are—and have long been—using up Earth's soil. Once bare of protective vegetation and exposed to wind and rain, cultivated soils erode bit by bit, slowly enough to be ignored in a single lifetime but fast enough over centuries to limit the lifespan of civilizations. A rich mix of history, archaeology and geology, Dirt traces the role of soil use and abuse in the history of Mesopotamia, Ancient Greece, the Roman Empire, China, European colonialism, Central America, and the American push westward. We see how soil has shaped us and we have shaped soil—as society after society has risen, prospered, and plowed through a natural endowment of fertile dirt. David R. Montgomery sees in the recent rise of organic and no-till farming the hope for a new agricultural revolution that might help us avoid the fate of previous civilizations.

    Munari insisted that design be beautiful, functional and accessible, and this enlightening and highly entertaining book sets out his ideas about visual, graphic and industrial design and the role it plays in the objects we use everyday. Lamps, road signs, typography, posters, children's books, advertising, cars and chairs - these are just some of the subjects to which he turns his illuminating gaze.How do we see the world around us? The Penguin on Design series includes the works of creative thinkers whose writings on art, design and the media have changed our vision forever.Bruno Munari (1907-1998), born in Milan, was the enfant terrible of Italian art and design for most of the twentieth century, contributing to many fields of both visual (paint, sculpture, film, industrial design, graphics) and non-visual arts (literature, poetry). He was twice awarded the Compasso d'Oro design prize for excellence in his field.If you enjoyed Design as Art, you might like John Berger's Ways of Seeing, also available in Penguin Modern Classics.'One of the most influential designers of the twentieth century ... Munari has encouraged people to go beyond formal conventions and stereotypes by showing them how to widen their perceptual awareness'International Herald Tribune

    They were discussed, annotated, cited, collected, and translated—the three issues of Artforum in which they appeared have become nearly impossible to obtain. Having Brian O'Doherty's provocative essays available again is a signal event for the art world. This edition also includes "The Gallery as Gesture," a critically important piece published ten years after the others. O'Doherty was the first to explicitly confront a particular crisis in postwar art as he sought to examine the assumptions on which the modern commercial and museum gallery was based. Concerned with the complex and sophisticated relationship between economics, social context, and aesthetics as represented in the contested space of the art gallery, he raises the question of how artists must construe their work in relation to the gallery space and system. These essays are essential reading for anyone interested in the history and issues of postwar art in Europe and the United States. Teeming with ideas, relentless in their pursuit of contradiction and paradox, they exhibit both the understanding of the artist (Patrick Ireland) and the precision of the scholar. With an introduction by Thomas McEvilley and a brilliantly cogent afterword by its author, Brian O'Doherty once again leads us on the perilous journey to center to the art world: Inside the White Cube.

    Each chapter, devoted to a color, begins with a short, inspiring essay that explores the qualities, meaning, and symbolism of that color, written in the same warm and lovely voice that guided the reader through "Visions of Earth." Color chapters include photographs that are predominantly blue, orange, green, yellow, purple and red. Smaller sections present images in silver, brown, black, gold, white, and "unseen color"--not seen with the naked eye, such as laser, the universe, and microscopic images. Throughout, interesting quotes and surprising short insights in the captions give the reader an entirely new look at the color in the world around us. Chock full of beautiful, amazing, fun images, this eye-pleasing volume is sure to appeal to a wide variety of people, most especially to women.

    Presenting details about the parts of the skull (including the cranium, the mandible, the shape and positioning of the eye sockets, and species-specific features like horns, teeth, beaks and bills), information about the science and pseudoscience of skulls, and a look at skulls in religion, art and popular culture, his stories and information are riveting and enlightening.At the center of "Skulls" is a stunning, never-before-seen-in-any-capacity, visual array of the skulls of more than 300 animals that walk, swim, and fly. The skulls are from the collection of Alan Dudley, a British collector and owner of what is probably the largest and most complete private collection of skulls in the world. Every skull is beautifully photographed to show several angles and to give the reader the most intimate view possible. Each includes a short explanatory paragraph and a data box with information on the animal's taxonomy, behavior, and diet."Skulls "was published in December 2011 as an e-book for the iPad by the innovative e-book publishers Touch Press, creators of the best-selling e-books for iPad "The Elements" and "Solar System." Both books were also published in print by Black Dog & Leventhal.

    It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

    But there is an important and simple step toward reversing this alarming trend: Everyone with access to a patch of earth can make a significant contribution toward sustaining biodiversity.There is an unbreakable link between native plant species and native wildlife—native insects cannot, or will not, eat alien plants. When native plants disappear, the insects disappear, impoverishing the food source for birds and other animals. In many parts of the world, habitat destruction has been so extensive that local wildlife is in crisis and may be headed toward extinction.Bringing Nature Home has sparked a national conversation about the link between healthy local ecosystems and human well-being, and the new paperback edition—with an expanded resource section and updated photos—will help broaden the movement. By acting on Douglas Tallamy's practical recommendations, everyone can make a difference.

    His essays--several of which have never before been translated into English--are collected here for the first time. The Mind's Eye features Cartier-Bresson's famous text on "the decisive moment" as well as his observations on Moscow, Cuba and China during turbulent times. These essays ring with the same immediacy and visual intensity that characterize his photography.

    While it embodies the entire system of his teaching, with much technical advice and critical comment for the student, it also contains inspiration for those to whom the happiness to be found through all the arts is important.No other American painter attracted such a large, intensely personal group of followers as Henri, whose death in 1929 brought to an end a life that has been completely devoted to art. He was an inspired artist and teacher who believed that everyone is vitally concerned in the happiness and wisdom to be found through the arts. Many of his paintings have been acquired by museums and private collectors. Among them are the Baltimore Museum of Art, the Metropolitan Museum of Art, the National Gallery of Art, the Whitney Museum of American Art, the Wichita Art Museum, and Yale University Art Gallery.

    Seeing Trees celebrates seldom seen but easily observable tree traits and invites you to watch trees with the same care and sensitivity that birdwatchers watch birds. Many people, for example, are surprised to learn that oaks and maples have flowers, much less flowers that are astonishingly beautiful when viewed up close. Focusing on widely grown trees, this captivating book describes the rewards of careful and regular tree viewing, outlines strategies for improving your observations, and describes some of the most visually interesting tree structures, including leaves, flowers, buds, leaf scars, twigs, and bark. In-depth profiles of ten familiar species—including such beloved trees as white oak, southern magnolia, white pine, and tulip poplar—show you how to recognize and understand many of their most compelling (but usually overlooked) physical features.

    The story starts in earnest 3.8 billion years ago, with the earliest-known form of life on Earth, a bacteria that still exists today, and journeys through action-packed millennia, charting the appearance of new life forms as well as devastating extinction events. Of course, the ever-popular and endlessly intriguing dinosaurs feature large, but Prehistoric Life gives you the whole picture, and the plants, invertebrates, amphibians, birds, reptiles, and mammals that are the ancestors of today's species also populate its pages, making this book unprecedented in its coverage of prehistory. Specially commissioned artworks use cutting-edge technology to render species in breathtakingly realistic fashion, with astonishing images of prehistoric remains, such as skeletons and fossils, to complete the story. To put all the evidence in context, the concept of geological time is explored, as is the classification of species and how the evidence for their evolution is preserved and can be deciphered.New technologies have brought new life to inanimate fossils. CT scanning, for example, unlocks a 3D image of a plant or animal from a piece of rock, which can then be viewed from all angles revealing never-before-seen details. From this researchers can fill in missing pieces and even simulate how an animal might have moved. Panels explore these and numerous other scientific techniques for recovering, dating, and reconstructing, as well as profiling individuals, key excavations and discoveries, and some of the unique anatomical features that nature has developed over the course of time.The last section of the book looks at the development of humans and the eventual rise to dominance of Homo sapiens, exploring not only their changing anatomy as revealed by the fossils but also the evidence for culture and society as evidenced by extraordinary cave paintings and intricately worked tools.In combination, the stunning visuals, captivating, authoritative text, and comprehensive approach make Prehistoric Life a fascinating and revealing encyclopedia that will appeal to the whole family.TABLE OF CONTENTS1. LIVING PLANET (38 pp)Foundations of a living planet. The Earth's structure. Plate tectonics, formation of oceans and continents.Changing climate. factors that contribute to climate change, how those can be seen in the geological record, and how that has affected life on Earth.Reconstructing the past. Using the present to understand the past (rocks and the rock cycle, layers of rock and dating)Fossils. Types of fossils, how they form, reconstructing the past from them (digging up, analysis), reconstructing past environments, dating using fossils.Geological timescale. Explanation of geological time.Life on Earth. What is life? Natural selection, DNA, molecular clocks, mass extinctions.Timeline of Evolution. Broad-scale look at major evolutionary markers through time.Classification. How we classify living organisms. The kingdoms of life.2. ON EARTH (398 PP) This chapter will be organized so that pages can be removed to leave a section of 360pp.his consists of a catalog divided into geological periods. Each period introduction covers the conditions on Earth at the time (geology and climate) and includes a chart showing the evolution of the main forms of life. The subsequent catalog entries are organized into groups: Microscopic life; Plants and Fungi; Invertebrates; and Vertebrates, with each having an introduction detailing the main evolutionary developments within the group.Archean 3.8-2.5 billion years ago (4pp)Period introduction. (1p)Archean life intro - (1p) the rise of life. Biology of cells; prokaryotes, cyanobacteria, stromatolites.Catalog of species.Proterozoic 2.5 billion-543 mya (6pp)Period introduction. (2pp)Microscopic life intro. (1p)Catalog of species. (1p)Invertebrates intro. (1p)Catalog of species. (1p)Cambrian 543-490 mya (20pp)Period introduction (4pp)Microscopic life intro. (1p)Catalog of species. (3pp)Invertebrates intro. (2pp)Catalog of species. (8pp)Vertebrates intro. (1p)Catalog of species. (1p)Ordovician 490-443 mya (14pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species.(1p)Invertebrates intro. (1p)Catalog of species. (3pp)Vertebrates intro. (1p)Catalog of species. (1p)Silurian 443-417 mya (20pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (1p)Invertebrates intro. (1p)Catalog of species. (7pp)Vertebrates intro. (1p)Catalog of species. (3p)Devonian 417-354 mya (34pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (7pp)Invertebrates intro. (1p)Catalog of species. (7pp)Vertebrates intro. (2p)Catalog of species. (10pp)Carboniferous 354-290 mya (38pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (2pp)Catalog of species. (8pp)Invertebrates intro. (1p)Catalog of species. (9pp)Vertebrates intro. (2pp)Catalog of species. (10pp)Permian 290-248 mya (26pp)Period introduction. (Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (3pp)Invertebrates intro. (1p)Catalog of species. (7pp)Vertebrates intro. (1p)Catalog of species. (7pp)Triassic 248-206 mya (30pp)Period introduction. (Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (5pp)Invertebrates intro. (1p)Catalog of species. (3pp)Vertebrates intro. (1pp)Catalog of species. (13pp)Jurassic 206-144 mya (56pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (5pp)Invertebrates intro. (1p)Catalog of species. (9pp)Vertebrates intro. (2pp)Catalog of species. (24pp)Cretaceous 144-65 mya (54pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (2pp)Catalog of species. (10pp)Invertebrates intro. (1p)Catalog of species. (9pp)Vertebrates intro. (2pp)Catalog of species. (24pp)Paleogene 65-23.8 mya (34pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (6pp)Invertebrates intro. (1p)Catalog of species. (6pp)Vertebrates intro. (2pp)Catalog of species. (12pp)Neogene 23.8-1.8 mya (32pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (6pp)Invertebrates intro. (1p)Catalog of species. (7pp)Vertebrates intro. (1p)Catalog of species. (10pp)Quaternary 1.8 mya-Present (26pp)Period introduction. (4pp)Microscopic life intro. (1p)Catalog of species. (1p)Plants and fungi intro. (1p)Catalog of species. (Invertebrates intro. (1p)Catalog of species. (5pp)Vertebrates intro. (1p)Catalog of species. (8pp)3. THE RISE OF HUMANS (44PP)Timeline of human evolution.Coverage of: Sahelanthropus tchadensis, Orrorin tugenesis, Ardipithecus kadabba, Ardipithecus ramidus, Australopithecus anamensis, Australopithecus afarensis, Kenyanthropus platyops, Australopithecus africanus, Australopithecus aethiopicus, Australopithecus garhi, Homo habilis, Homo rudolfensis, Paranthropus boisei, Homo ergaster, Paranthropus robustus, Homo erectus, Homo heidelbergensis, Homo neanderthalensis, Homo sapiens.Themes of anatomy, DNA, global expansion, tool use, diet, communication, ecology, society, and culture run through the section.Glossary/Index/Acknowledgements