Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    But do you know about the mathematical genius who made sure that Apollo 13 returned safely home?As a child, Katherine Johnson loved to count. She counted the steps on the road, the number of dishes and spoons she washed in the kitchen sink, everything! Boundless, curious, and excited by calculations, young Katherine longed to know as much as she could about math, about the universe.From Katherine's early beginnings as a gifted student to her heroic accomplishments as a prominent mathematician at NASA, this is the story of a groundbreaking American woman who not only calculated the course of moon landings but, in turn, saved lives and made enormous contributions to history.

    The third edition of this perennial favorite is chockfull of maps, charts, and graphs, photographs, flags and facts—everything you need to help understand the world.You’ll begin by learning about maps and how to read them. Then you’ll explore the world’s physical and human systems, including Earth’s geologic history, natural vegetation, and world cultures. A stunning view from space introduces each continent, and full-page, full-color maps represent its physical and political make-up, its climate and precipitation, and its population and predominant economies. A vivid photo essay highlights an issue relevant to each continent, such as the European Union, or deforestation in the Amazon. Continuity of map sizes and scales encourages data comparison, which helps geography students to develop higher-level thinking skills.The National Geographic Student Atlas of the World is much more than maps. Weblink icons direct you to Internet sites to expand your knowledge and keep statistics up to date. The third edition of the award-winning National Geographic Student Atlas of the World is an invaluable resource and a must-have reference tool for libraries and homes everywhere.

    Featuring a new Introduction, filled with opportunities for reading aloud and fostering discussion, this first-grade volume of the acclaimed Core Knowledge Series presents the sort of knowledge and skills that should be at the core of a challenging first-grade education. Inside you’ll discover   • Favorite poems—old and new, such as “The Owl and the Pussycat,” “Wynken, Blynken, and Nod,” and “Thirty Days Hath September” • Beloved stories—from many times and lands, including a selection of Aesop’s fables, “Hansel and Gretel,” “All Stories Are Anansi’s,” “The Tale of Peter Rabbit,” and much more • Familiar sayings and phrases—such as “Do unto others as you would have them do unto you” and “Practice makes perfect” • World and American history and geography—take a trip down the Nile with King Tut and learn about the early days of our country, including the story of Jamestown, the Pilgrims, and the American Revolution • Visual arts—fun activities plus full-color reproductions of masterworks by Leonardo da Vinci, Vincent van Gogh, Paul Cézanne, Georgia O’Keeffe, and others • Music—engaging introductions to great composers and music, including classical music, opera, and jazz, as well as a selection of favorite children’s songs • Math—a variety of activities to help your child learn to count, add and subtract, solve problems, recognize geometrical shapes and patterns, and learn about telling time • Science—interesting discussions of living things and their habitats, the human body, the states of matter,  electricity, our solar system, and what’s inside the earth, plus stories of famous scientists such as Thomas Edison and Rachel Carson

    Shining light on all kinds of fascinating facts about our moon, this simple, introductory book includes information on how the moon affects the oceans' tides, why the same side of the moon always faces earth, why we have eclipses, and more.Using her signature combination of colorful, clear illustrations and accessible text, Gail Gibbons reinforces important vocabulary with simple explanations, perfect for budding astronomers. Legends about the moon, trivia, and facts about the moon landing are also included.

    Each expresses a perspective on the Sciences.

    With his inimitable ability to translate complex foreign policy and economic issues, Friedman explains how the flattening of the world happened at the dawn of the 21st century; what it means to countries, companies, communities and individuals; and how governments and societies can, and must, adapt.

    Once these approaches are understood, parents and teachers can become far more effective in helping children grasp confusing concepts, stay interested in lessons, and utilize their strengths. By recognizing children's learning preferences, you can reach them more efficiently and effectively! These concepts are powerful tools for drawing out the best in a child. Give your youngster the best chance for success by coming to understand The Way They Learn.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    In this book, he expands the points he has made, and claims that this debate is not so much about religion versus science, as about the nature of science itself. With infectious enthusiasm, he reveals the mechanics of evolutionary theory, explains how it is rooted in the testable and verifiable scientific method, and why it is therefore a sound explanation of our beginning. He argues passionately that to continue to assert otherwise, to continue to insist that creationism has a place in the science classroom is harmful not only to our children, but to the future of the greater world as well.

    But as scientists are discovering, much of the trusted advice that has been passed down through generations needs to be carefully reexamined.A thought-provoking combination of practical parenting information and scientific analysis, Our Babies, Ourselves is the first book to explore why we raise our children the way we do--and to suggest that we reconsider our culture's traditional views on parenting.In this ground-breaking book, anthropologist Meredith Small reveals her remarkable findings in the new science of ethnopediatrics. Professor Small joins pediatricians, child-development researchers, and anthropologists across the country who are studying to what extent the way we parent our infants is based on biological needs and to what extent it is based on culture--and how sometimes what is culturally dictated may not be what's best for babies.Should an infant be encouraged to sleep alone? Is breast-feeding better than bottle-feeding, or is that just a myth of the nineties? How much time should pass before a mother picks up her crying infant? And how important is it really to a baby's development to talk and sing to him or her?These are but a few of the important questions Small addresses, and the answers not only are surprising but may even change the way we raise our children.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.