The Rainbow from Myth to Mathematics


Book Description

Virtually every volume on mythology contains legends connected with the rainbow and practically all modern textbooks of physics include some exposition of the optical principles which account for the bow. Mankind has been thinking, talking and writing about the rainbow for thousands of years. The Rainbow: from Myth to Mathematics gathers material from a great number of primary and secondary sources in the hopes that readers may be tempted to study further some aspects of the history of the theory of the rainbow. Includes information on Aristotle, Francis Bacon, the Christian tradition, color, Rene, Descartes, fogbow, Augustin Fresnel, Galileo Galilei, halo, Islamic tradition, Jesuits, Johann Kepler, nature of light, mirrors, Sir Isaac Newton, Olympiodorus, physics, rainbow breadth, reflection, refraction, Robert Grosseteste, Themo Judoci, Witelo, etc.




The Rainbow Bridge


Book Description

Venerated as god and goddess, feared as demon and pestilence, trusted as battle omen, and used as a proving ground for optical theories, the rainbow's image is woven into the fabric of our past and present. From antiquity to the nineteenth century, the rainbow has played a vital role in both inspiring and testing new ideas about the physical world. Although scientists today understand the rainbow's underlying optics fairly well, its subtle variability in nature has yet to be fully explained. Throughout history the rainbow has been seen primarily as a symbol&—of peace, covenant, or divine sanction&—rather than as a natural phenomenon. Lee and Fraser discuss the role the rainbow has played in societies throughout the ages, contrasting its guises as a sign of optimism, bearer of Greek gods' messages of war and retribution, and a symbol of the Judeo-Christian bridge to the divine. The authors traverse the bridges between the rainbow's various roles as they explore its scientific, artistic, and folkloric visions. This unique book, exploring the rainbow from the perspectives of atmospheric optics, art history, color theory, and mythology, will inspire readers to gaze at the rainbow anew. For more information on The Rainbow Bridge, visit: &




The History of the Calculus and Its Conceptual Development


Book Description

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.




Professor Stewart's Hoard of Mathematical Treasures


Book Description

Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart's Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern mathematical thought. Amongst a host of arcane and astonishing facts about every kind of number from irrational and imaginary to complex and cuneiform, we learn: How to organize chaos How matter balances anti-matter How to turn a sphere inside out (without creasing it) How to calculate pi by observing the stars . . . and why you can't comb a hairy ball. Along the way Stewart offers the reader tantalizing glimpses of the mathematics underlying life and the universe. Mind-stretching, enlightening, and endlessly amusing, Professor Stewart's Hoard of Mathematical Treasures will stimulate, delight, and enthrall.




Struck by Genius


Book Description

From head trauma to scientific wonder—a “deeply absorbing . . . fascinating” true story of acquired savant syndrome (Entertainment Weekly). Twelve years ago, Jason Padgett had never made it past pre-algebra. But a violent mugging forever altered the way his brain worked. It turned an ordinary math-averse student into an extraordinary young man with a unique gift to see the world as no one else does: water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us. As his ability to understand physics skyrocketed, the “accidental genius” developed the astonishing ability to draw the complex geometric shapes he saw everywhere. Overcoming huge setbacks and embracing his new mind, Padgett “gained a vision of the world that is as beautiful as it is challenging.” Along the way he fell in love, found joy in numbers, and spent plenty of time having his head examined (The New York Times Book Review). Illustrated with Jason’s stunning, mathematically precise artwork, his singular story reveals the wondrous potential of the human brain, and “an incredible phenomenon which points toward dormant potential—a little Rain Man perhaps—within us all” (Darold A. Treffert, MD, author of Islands of Genius: The Bountiful Mind of the Autistic, Acquired, and Sudden Savant). “A tale worthy of Ripley’s Believe It or Not! . . . This memoir sends a hopeful message to families touched by brain injury, autism, or neurological damage from strokes.” —Booklist “How extraordinary it is to contemplate the bizarre gifts that might lie within all of us.” —People







Girl to Girl


Book Description

“A solid and sound coaching manual for preteen girls starting or approaching puberty.” —School Library Journal Let’s face it, being a girl isn’t easy, and growing up can be confusing without a confidante to help. Meet Sarah O’Leary Burningham, a real-life big sister here to talk you through some of life’s biggest moments, like: Finding a bra Getting your period Picking out glasses and braces Dealing with body odor and shaving Caring for your skin (and handling pimples!). Creating healthy habits And so much more Filled with letters and testimonials from girls just like you, confidence-boosting advice from experts, and myth-busting sidebars that give you the real scoop, this book is just what you need to naviage the preteen years. Endorsed by doctors and experts: “What a marvelous book for girls 8-12 years old. This accurate, reassuring, and clearly written guide is one of the best presents that we can give to the young girls in our lives—especially in an era where they read so much misinformation on the Internet.” —Judy Norsigian, Executive Director, Our Bodies Ourselves “A desperately needed guide for girls ages 8-12, who have long needed an age-appropriate, visually interesting, and emotionally accessible book on growing up. Parents of diverse backgrounds, who have been looking for a book to lean on and learn from, have got their wish. Real girls inhabit these pages and share what readers will want to know—and what they’ll need to know.” —Pepper Schwartz, PhD, Professor of Sociology at the University of Washington and author of Ten Talks Parents Must Have with Their Children About Sex and Character




The Scientific Achievement of the Middle Ages


Book Description

The scientists of the twelfth century were daring, original, inventive, and above all determined to discover purely rational explanations of natural phenomena. Their intense interest in the natural world for its own sake, their habits of precise observation, and the high value they place on man as a rational being portend a new age in the history of scientific thought. This book offers a comprehensive sampling of medieval scientific thought in the context of an historical narrative.




The Invisible Rainbow


Book Description

The most misunderstood force driving health and disease The story of the invention and use of electricity has often been told before, but never from an environmental point of view. The assumption of safety, and the conviction that electricity has nothing to do with life, are by now so entrenched in the human psyche that new research, and testimony by those who are being injured, are not enough to change the course that society has set. Two increasingly isolated worlds--that inhabited by the majority, who embrace new electrical technology without question, and that inhabited by a growing minority, who are fighting for survival in an electrically polluted environment--no longer even speak the same language. In The Invisible Rainbow, Arthur Firstenberg bridges the two worlds. In a story that is rigorously scientific yet easy to read, he provides a surprising answer to the question, "How can electricity be suddenly harmful today when it was safe for centuries?"




Unweaving the Rainbow


Book Description

From the New York Times–bestselling author of Science in the Soul. “If any recent writing about science is poetic, it is this” (The Wall Street Journal). Did Sir Isaac Newton “unweave the rainbow” by reducing it to its prismatic colors, as John Keats contended? Did he, in other words, diminish beauty? Far from it, says acclaimed scientist Richard Dawkins; Newton’s unweaving is the key too much of modern astronomy and to the breathtaking poetry of modern cosmology. Mysteries don’t lose their poetry because they are solved: the solution often is more beautiful than the puzzle, uncovering deeper mysteries. With the wit, insight, and spellbinding prose that have made him a bestselling author, Dawkins takes up the most important and compelling topics in modern science, from astronomy and genetics to language and virtual reality, combining them in a landmark statement of the human appetite for wonder. This is the book Dawkins was meant to write: A brilliant assessment of what science is (and isn’t), a tribute to science not because it is useful but because it is uplifting. “A love letter to science, an attempt to counter the perception that science is cold and devoid of aesthetic sensibility . . . Rich with metaphor, passionate arguments, wry humor, colorful examples, and unexpected connections, Dawkins’ prose can be mesmerizing.” —San Francisco Chronicle “Brilliance and wit.” —The New Yorker