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The Ellipse

Author: Arthur Mazer
Publisher: John Wiley & Sons
ISBN: 111821143X
Size: 36.94 MB
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Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.

Shifting The Earth

Author: Arthur Mazer
Publisher: John Wiley & Sons
ISBN: 1118108310
Size: 22.33 MB
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Discover how mathematics and science have propelled history From Ancient Greece to the Enlightenment and then on to modern times, Shifting the Earth: The Mathematical Quest to Understand the Motion of the Universe takes readers on a journey motivated by the desire to understand the universe and the motion of the heavens. The author presents a thought-provoking depiction of the sociopolitical environment in which some of the most prominent scientists in history lived and then provides a mathematical account of their contributions. From Eudoxus to Einstein, this fascinating book describes how, beginning in ancient times, pioneers in the sciences and mathematics have dramatically changed our vision of who we are as well as our place in the universe. Readers will discover how Ptolemy's geocentric model evolved into Kepler's heliocentric model, with Copernicus as the critical intermediary. The author explains how one scientific breakthrough set the stage for the next one, and he also places the scientists and their discoveries within the context of history, including: Archimedes, Apollonius, and the Punic Wars Ptolemy and the rise of Christianity Copernicus and the Renaissance Kepler and the Counter-Reformation Newton and the Enlightenment Einstein and the detonation of the atom bomb Each chapter presents the work of a single scientist or mathematician, building on the previous chapters to demonstrate the evolutionary process of discovery. Chapters begin with a narrative section and conclude with a mathematical presentation of one of the scientist's original works. Most of these mathematical presentations, including the section on Einstein's special relativity, are accessible using only basic mathematics; however, readers can skip the mathematical sections and still follow the evolution of science and mathematics. Shifting the Earth is an excellent book for anyone interested in the history of mathematics and how the quest to understand the motion of the heavens has influenced the broader history of humankind.

Indic Visions

Author: Varadaraja V. Raman
Publisher: Xlibris Corporation
ISBN: 1462883656
Size: 12.53 MB
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Indic Visions is the tenth book by the acclaimed scientist and humanist Varadaraja V. Raman. In it he provides a detailed introduction to Indic religions and contemporary interpretations thereof consistent with modern science. In a world of rapid changes, dangerous fundamentalism, parochial chauvinisms, culture wars, and clashing civilizations, this book provides both a soothing balm and potent antidote. By delving more deeply into Indic civilization, Raman shows us the way to transform our emerging global civilization in wholesome and healthy ways consistent with science and the great challenges of the 21st century.

The European Mathematical Awakening

Author: Frank J. Swetz
Publisher: Courier Corporation
ISBN: 0486310272
Size: 77.53 MB
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A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes, Cardano, Galileo, Pascal, Newton, others.

1089 And All That A Journey Into Mathematics

Author: D. J. Acheson
Publisher: Oxford University Press, USA
ISBN: 9780198516231
Size: 44.42 MB
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This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famous cartoonists. This unusual book is one of the most readable explanations of mathematics available.

Is Pluto A Planet

Author: David A. Weintraub
Publisher: Princeton University Press
ISBN: 1400852978
Size: 48.35 MB
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A Note from the Author: On August 24, 2006, at the 26th General Assembly of the International Astronomical Union (IAU) in Prague, by a majority vote of only the 424 members present, the IAU (an organization of over 10,000 members) passed a resolution defining planet in such a way as to exclude Pluto and established a new class of objects in the solar system to be called "dwarf planets," which was deliberately designed to include Pluto. With the discovery of Eris (2003 UB313)--an outer solar system object thought to be both slightly larger than Pluto and twice as far from the Sun--astronomers have again been thrown into an age-old debate about what is and what is not a planet. One of many sizeable hunks of rock and ice in the Kuiper Belt, Eris has resisted easy classification and inspired much controversy over the definition of planethood. But, Pluto itself has been subject to controversy since its discovery in 1930, and questions over its status linger. Is it a planet? What exactly is a planet? Is Pluto a Planet? tells the story of how the meaning of the word "planet" has changed from antiquity to the present day, as new objects in our solar system have been discovered. In lively, thoroughly accessible prose, David Weintraub provides the historical, philosophical, and astronomical background that allows us to decide for ourselves whether Pluto is indeed a planet. The number of possible planets has ranged widely over the centuries, from five to seventeen. This book makes sense of it all--from the ancient Greeks' observation that some stars wander while others don't; to Copernicus, who made Earth a planet but rejected the Sun and the Moon; to the discoveries of comets, Uranus, Ceres, the asteroid belt, Neptune, Pluto, centaurs, the Kuiper Belt and Eris, and extrasolar planets. Weaving the history of our thinking about planets and cosmology into a single, remarkable story, Is Pluto a Planet? is for all those who seek a fuller understanding of the science surrounding both Pluto and the provocative recent discoveries in our outer solar system.

From Five Fingers To Infinity

Author: Frank Swetz
Publisher: Open Court Pub Co
ISBN:
Size: 50.23 MB
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This book is an absorbing, entertaining, user-friendly account of one of the greatest adventures in human thought. It is a global survey of the history of mathematics. This work tells the astonishing story of the history of mathematics in 114 popular articles, presented in a chronological and thematic manner, with numerous illustrations.--[book jacket]

Grundlagen Der Linearen Algebra F R Dummies

Author: Mary Jane Sterling
Publisher: VCH
ISBN: 9783527706204
Size: 39.49 MB
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Für so manchen Zeitgenossen ist das Land Mathematien wüst und grau und der Weg, die Lineare Algebra zu verstehen, ist besonders stolpersteinig und öd. Aber haben Sie erst einmal die Grundlagen verstanden, ist der Rest nur noch halb so schwer. Mary Jane Sterling hilft Ihnen in diesem Buch auf die Sprünge. Sie erklärt Ihnen, wie Sie mit Vektoren rechnen, die Matrizenalgebra meistern, Linearkombinationen in ihre Schranken weisen, sich behende im Vektorraum bewegen, Eigenwert und Eigenvektor zu guten Freunden machen und vieles mehr. Stellen Sie mit diesem Buch Ihre Kenntnisse der Linearen Algebra auf eine solide Grundlage.