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Author: Carl Benjamin Boyer
Publisher:
ISBN:
Category : Rainbow
Languages : en
Pages : 410
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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.
Author: Carl Benjamin Boyer
Publisher:
ISBN:
Category : Rainbow
Languages : en
Pages : 410
Get Book Here
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.
Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Category : Mathematics
Languages : en
Pages : 369
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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.
Author: Raymond L. Lee
Publisher: Penn State Press
ISBN: 9780271019772
Category : Philosophy
Languages : en
Pages : 654
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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: &
Author: Ian Stewart
Publisher: Basic Books
ISBN: 0465021379
Category : Mathematics
Languages : en
Pages : 354
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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.
Author: Joseph Mazur
Publisher: Penguin
ISBN: 0452287839
Category : Mathematics
Languages : en
Pages : 353
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Book Description
Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.
Author: Richard C. Dales
Publisher: University of Pennsylvania Press
ISBN: 0812292286
Category : History
Languages : en
Pages : 193
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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.
Author: Jenna Mancini Rufo
Publisher: Brookes Publishing Company
ISBN: 9781681254760
Category : Education
Languages : en
Pages : 120
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Book Description
Author: Richard Dawkins
Publisher: HMH
ISBN: 0547347359
Category : Science
Languages : en
Pages : 355
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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
Author: Jason Wilkes
Publisher: Basic Books
ISBN: 0465073816
Category : Mathematics
Languages : en
Pages : 301
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Book Description
A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
Author: A. Mark Smith
Publisher: American Philosophical Society
ISBN: 9780871697738
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Contents: (1) Historical Overview; & Descartes's Perspectivist Sources; (2) Analysis of Refraction: Cartesian Light-Theory; & A Critical Evaluation; (3) The Foundations of Perspectivist Optics: Perspectivist Light-Theory; Quantization of Light; & Comparison with Descartes's Theory of Light; (4) The Perspectivist Analysis of Refraction: Physical Model; Physical "Explanation" & The Final Cause; (5) Perspectivist Grounds of the Cartesian Proof: Mathematical Implications; From Cosines to Sines; & Descartes Revisited; (6) Cartesian Light-Theory as a Culmination; Toward a Kinetic Theory of Light; & Epistemological Consequences. App.: The Sine-Law Before Descartes; The Fermat-Descartes Controversy; & Kepler, Descartes & the Anaclastic. Illustrations.
