In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    In this exciting sequel, Barbara Hand Clow takes these teachings to a practical level so that we can all discover multidimensionality in our daily lives.Based on more than ten years of experience with students, and years of research into the new sciences that validate the breakthrough concepts in The Pleiadian Agenda, Clow presents each dimension in detail. Alchemy of Nine Dimensions reveals how the Pleiadians described the nine dimensionssharpens our understanding with scientific and historical explanationsoffers a startling interpretation of crop circleshelps you contact and work with beings in many dimensions, and provides meditations on how to ground these nine dimensions of awareness energetically into our bodiesFinally, Clow reveals the true significance of the date December 21, 2012--the end of the Mayan calendar--and tells you what you need to know to begin physical and spiritual preparation.

    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.

    Mt. Lockley, who observed rabbits in Wales over a 5 year period, shows that they have a complex community life little understood by the world in general. These vegetarian creatures posses both dignity and 'animality'; psychological factors play as large a part in shaping their lives as they do in ours. One finds, too, that their reputation for promiscuity and wanton reproduction is really undeserved. Lockley built an artificial warren with glass sides and several tracts of natural habitat-an open plain, a woodlot, a lushly vegetated savannah were enclosed and arranged for maximum ease of observation with minimum interference. This controlled rabbit colony was observed every day and night in every season and in all kinds of weather. In Lockley's account, rabbits emerge with characteristics and personalities of their own. The nicknames he gives them (Weary Willie, Timid Timothy, Bold Benjamin, for example) in no way lessen the objective and scientific accuracy of his findings. In fact, this touch of individuality reinforces the observation that rabbits are creatures with interests, wills, and preferences of their own. Female conservatism, scent setting or 'chinning' by dominant males, the ability of the female to absorb her fertilized embryo, the stress of subordinate status...and more, are revealed here.

    That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.

    In First You Build a Cloud, K. C. Cole provides cogent explanations through animated prose, metaphors, and anecdotes, allowing us to comprehend the nuances of physics-gravity and light, color and shape, quarks and quasars, particles and stars, force and strength. We also come to see how the physical world is so deeply intertwined with the ways in which we think about culture, poetry, and philosophy. Cole, one of our preeminent science writers, serves as a guide into the world of such legendary scientific minds as Richard Feynman, Victor Weisskopf, brothers Frank Oppenheimer and J. Robert Oppenheimer, Philip Morrison, Vera Kistiakowsky, and Stephen Jay Gould.

    The Haywire Heart is the first book to examine heart conditions in athletes. Intended for anyone who competes in endurance sports like cycling, triathlon, running races of all distances, and cross-country skiing, The Haywire Heart presents the evidence that going too hard or too long can damage your heart forever. You’ll find what to watch out for, what to do about it, and how to protect your heart so you can enjoy the sports you love for years to come. The Haywire Heart shares the developing research into a group of conditions known as “athlete’s heart”, starting with a wide-ranging look at the warning signs, symptoms, and how to recognize your potential risk. Leading cardiac electrophysiologist and masters athlete Dr. John Mandrola explores the prevention and treatment of heart conditions in athletes like arrhythmia, atrial fibrillation and flutter, tachycardia, hypertrophy, and coronary artery disease. He reviews new research about exercise intensity and duration, recovery, inflammation and calcification, and the ways athletes inflict lasting harm. These heart problems are appearing with alarming frequency among masters athletes who are pushing their bodies harder than ever in the hope that exercise will keep them healthy and strong into their senior years. The book is complete with gripping case studies of elite and age-group athletes from journalist Chris Case—like the scary condition that nearly killed cyclist and coauthor Lennard Zinn—and includes a frank discussion of exercise addiction and the mental habits that prevent athletes from seeking medical help when they need it.Dr. Mandrola explains why many doctors misdiagnose heart conditions in athletes and offers an invaluable guide on how to talk with your doctor about your condition and its proven treatments. He covers known heart irritants, training and rest modifications, effective medicines, and safe supplements that can reduce the likelihood of heart damage from exercise. Heart conditions affect hardcore athletes as well as those who take up sports seeking better health and weight loss. The Haywire Heart is a groundbreaking and critically important guide to heart care for athletes. By protecting your heart now and watching for the warning signs, you can avoid crippling heart conditions and continue to exercise and compete for years to come.

    With personal anecdotes, a well-written narrative, and clear examples, Human Natures is a major work of synthesis and scholarship as well as a valuable primer on genetics and evolution that makes complex scientific concepts accessible to lay readers.

    The answer: with the essentials. Now, finally satisfy your desire for scientific inquiry in a way that makes this enormous field accessible, understandable, and undeniably captivating. Professor Viskontas boils down the scientific world into 12 key concepts every educated person should know. Devoting two lectures to each concept to give you more time to engage with it, her 24-lecture series is an engaging and enlightening introduction to everything from the behavior of subatomic particles to the latest theories about the Big Bang. Throughout, you'll get accessible looks at key building blocks of scientific knowledge, including brain plasticity, fluid mechanics, electromagnetism, genetics, quantum theory, emergence, evolution, thermodynamics, the Big Bang, and the nature of matter. Each concept is presented in a clear, concise way that will inform and delight you, and that will give you the opportunity to probe the invisible life of living cells, visit the universe seconds after its birth, and much more. Concepts that may have eluded you in school, that you may not be familiar with, or that you simply never appreciated for their intricate beauty are now brought to vivid life in a way that sticks. Welcome to the world of science - reduced to its powerful essence.

    

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    Leibniz' Monadology, one of the most important pieces of the Leibniz corpus, is at once one of the great classics of modern philosophy & one of its most puzzling productions. Because the essay is written in so compactly condensed a fashion, for almost three centuries it has baffled & beguiled those who read it for the first time. Nicholas Rescher accompanies the text of the Monadology section-by-section with relevant excerpts from some of Leibniz' widely scattered discussions of the matters at issue. The result serves a dual purpose of providing a commentary of the Monadology by Leibniz himself, while at the same time supplying an exposition of his philosophy using the Monadology as an outline. The book contains all the materials that even the most careful study of this text could require: a detailed overview of the philosophical background of the work & of its bibliographic ramifications; a presentation of the original French text together with a new, closely faithful English translation; a selection of other relevant Leibniz texts; & a detailed commentary. Rescher also provides a survey of Leibniz' use of analogies & three separate indices of key terms & expressions, Leibniz' French terminology, & citations. Rescher's edition of the Monadology presents Leibniz' ideas faithfully, accurately & accessibly, making it especially valuable to scholars & students alike.

    This award-winning book explains what these extra dimensions reveal about God and the incarnation, atonement, free will, and predestination.

    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.

    His apothegm "Cogito, ergo sum" marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible.But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes's death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook--and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages--which, though written in code, he amazingly deciphered there on the spot. Leibniz's hastily scribbled notes are all we have today of Descartes's notebook, which has disappeared.Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.