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The Ellipse

Author: Arthur Mazer
Publisher: John Wiley & Sons
ISBN: 111821143X
Size: 33.71 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: 76.87 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.

1089 And All That A Journey Into Mathematics

Author: D. J. Acheson
Publisher: Oxford University Press, USA
ISBN: 9780198516231
Size: 10.28 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.

Conics Text

Author: Keith Kendig
Publisher: Cambridge University Press
ISBN: 9780883853351
Size: 40.16 MB
Format: PDF
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This book engages the reader in a journey of discovery through a spirited discussion among three characters: Philosopher, Teacher and Student. Throughout the book, Philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.

Indic Visions

Author: Varadaraja V. Raman
Publisher: Xlibris Corporation
ISBN: 1462883656
Size: 16.89 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.

Mathematical Thought From Ancient To Modern Times

Author: Morris Kline
Publisher: Oxford University Press
ISBN: 0199770468
Size: 42.23 MB
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The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

Mathematics

Author: Morris Kline
Publisher: Oxford University Press, USA
ISBN: 9780195030853
Size: 22.81 MB
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Refuting the accepted belief that mathematics is exact and infallible, the author examines the development of conflicting concepts of mathematics and their implications for the physical, applied, social, and computer sciences

Cogwheels Of The Mind

Author: A. W. F. Edwards
Publisher: JHU Press
ISBN: 9780801874345
Size: 40.86 MB
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Combining mathematical history and recreational mathematics, details the history behind Venn diagrams, the intersecting circles used to visually represent logical propositions.

Apm Archeologia Postmedievale 18 2014 Archeologia Dei Relitti Postmedievali Archaeology Of Post Medieval Shipwrecks

Author: Carlo Beltrame
Publisher: All’Insegna del Giglio
ISBN: 8878146188
Size: 27.21 MB
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Archeologia dei relitti postmedievali / Archaeology of Post-Medieval Shipwrecks, a cura di Carlo Beltrame Il volume, che raccoglie undici contributi di archeologi marittimi di molti paesi, ha l’obiettivo di accendere i riflettori sulle enormi potenzialità dei relitti di età storica, mettendo a confronto, da un lato, approcci diversi (di ambito mediterraneo ma anche statunitense, australiano e nord europeo), dall’altro, contesti archeologici con caratteristiche altrettanto diverse per l’ambiente di giacitura e per l’impiego civile o militare dell’imbarcazione. Gli studi, diacronici ma incentrati sul Cinquecento e sull’Ottocento, coprono le varie sfaccettature dell’indagine storica dei relitti di età postmedievale quali la costruzione navale, il commercio e la vita di bordo, ma anche aspetti di tipo squisitamente metodologico quali l’archeologia sperimentale navale. Si tratta di una novità assoluta per l’editoria scientifica italiana in cui questo particolare, ma molto promettente, ambito della ricerca archeologica non aveva ancora trovato adeguato spazio.

How Not To Be Wrong

Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Size: 22.44 MB
Format: PDF, ePub
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"Using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman, minus the jargon ... Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"--