This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Drawing on new translations of Mutis's nearly forgotten writings, this fascinating story of scientific adventure in eighteenth-century South America retrieves Mutis's contributions from obscurity.In 1760, the 28-year-old Mutis—newly appointed as the personal physician of the Viceroy of the New Kingdom of Granada—embarked on a 48-year exploration of the natural world of northern South America. His thirst for knowledge led Mutis to study the region's flora, become a professor of mathematics, construct the first astronomical observatory in the Western Hemisphere, and amass one of the largest scientific libraries in the world. He translated Newton's writings and penned essays about Copernicus; lectured extensively on astronomy, geography, and meteorology; and eventually became a priest. But, as two-time Pulitzer Prize–winner Edward O. Wilson and Spanish natural history scholar José M. Gómez Durán reveal in this enjoyable and illustrative account, one of Mutis's most magnificent accomplishments involved ants.Acting at the urging of Carl Linnaeus—the father of taxonomy—shortly after he arrived in the New Kingdom of Granada, Mutis began studying the ants that swarmed everywhere. Though he lacked any entomological training, Mutis built his own classification for the species he found and named at a time when New World entomology was largely nonexistent. His unorthodox catalog of army ants, leafcutters, and other six-legged creatures found along the banks of the Magdalena provided a starting point for future study.Wilson and Durán weave a compelling, fast-paced story of ants on the march and the eighteenth-century scientist who followed them. A unique glance into the early world of science exploration, Kingdom of Ants is a delight to read and filled with intriguing information.

    Lohr maps out the unique seductions of programming, and gives us an intimate portrait of the peculiar kind of genius that is drawn to this blend of art, science, and engineering, introducing us to the movers and shakers of the 1950s and the open-source movement of today. With original reporting and deft storytelling, Steve Lohr shows us how software transformed the world, and what it holds in store for our future.

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    Organized to illustrate the major themes of Elliot Aronson's The Social Animal, this collection of classic and contemporary readings explores the most important ideas, issues, and debates in social psychology today.

    But it's coming, and when it does, it will change our lives as much as any invention ever has. Imagine being able to program matter itself-to change it, with the click of a cursor, from hard to soft, from paper to stone, from fluorescent to super-reflective to invisible. Supported by organizations ranging from Levi Strauss and IBM to the Defense Department, solid-state physicists in renowned laboratories are working to make it a reality. In this dazzling investigation, Wil McCarthy visits the laboratories and talks with the researchers who are developing this extraordinary technology, describes how they are learning to control it, and tells us where all this will lead. The possibilities are truly astonishing.

    Fundamentals Of Mathematical Statistics is written by SC Gupta and VK Kapoor and published by SULTAN CHAND & SONS, Delhi.

    Its discovery has forced us to confront the possibility of alien intelligence-not in outer space but right here on earth. Thoughtful, richly detailed, and deeply entertaining, Thousand Mile Song uses the enigma of whale sounds to open up whales? underwater world of sonic mystery. In observing and talking with leading researchers from around the globe as they attempt to decipher undersea music, Rothenberg tells the story of scientists and musicians confronting an unknown as vast as the ocean. His search culminates in a grand attempt to make interspecies music the likes of which no one has ever heard (until, that is, they listen to the accompanying CD), by playing his clarinet with whales in their native habitats, from Russia to Canada to Hawaii.

    Experienced birders use the most easily observed characteristics — size, structure, behavior, and general color patterns — to identify birds even before looking carefully at plumage details. Now birders at all levels can learn how to identify shorebirds quickly and simply. This guide includes more than 870 stunning color photographs, starting with a general impression of the species and progressing to more detailed images of the bird throughout its life cycle. Quiz questions in the captions will engage and challenge all birders and help them benefit from this simplified, commonsense approach to identification.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

    Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.Calculus For Dummies is intended for three groups of readers:Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth. This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:Real-world examples of calculus The two big ideas of calculus: differentiation and integration Why calculus works Pre-algebra and algebra review Common functions and their graphs Limits and continuity Integration and approximating area Sequences and series Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression.

     Ignoring the boundaries of disciplines and schools and searching for novel fundamental ideas, theories, and practices, this international community integrates the full range of scientific inquiries that will help us to understand and survive on a complex planet. This volume collects essays from the past thirty years of research, in which contributors explain in clear and accessible language many of the deepest challenges and insights of complexity science. Explore the evolution of complex systems science with chapters from Nobel Laureates Murray Gell-Mann and Kenneth Arrow, as well as numerous pioneering complexity researchers, including John Holland, Brian Arthur, Robert May, Richard Lewontin, Jennifer Dunne, and Geoffrey West.

    Packed with math activities and puzzles, compelling stories of math geniuses, math facts and stats, and more, How to be a Math Genius makes the dreaded subject of math both engaging and relevant.