The Mathematics Of The Heavens And The Earth

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The Mathematics of the Heavens and the Earth

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 352 pages
File Size : 51,7 Mb
Release : 2021-08-10
Category : Mathematics
ISBN : 9781400833313

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The Mathematics of the Heavens and the Earth by Glen Van Brummelen Pdf

The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

The Heavens on Earth

Author : David Aubin,Charlotte Bigg,H. Otto Sibum
Publisher : Duke University Press
Page : 400 pages
File Size : 48,9 Mb
Release : 2010-01-26
Category : Science
ISBN : 9780822392507

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The Heavens on Earth by David Aubin,Charlotte Bigg,H. Otto Sibum Pdf

The Heavens on Earth explores the place of the observatory in nineteenth-century science and culture. Astronomy was a core pursuit for observatories, but usually not the only one. It belonged to a larger group of “observatory sciences” that also included geodesy, meteorology, geomagnetism, and even parts of physics and statistics. These pursuits coexisted in the nineteenth-century observatory; this collection surveys them as a coherent whole. Broadening the focus beyond the solitary astronomer at his telescope, it illuminates the observatory’s importance to technological, military, political, and colonial undertakings, as well as in advancing and popularizing the mathematical, physical, and cosmological sciences. The contributors examine “observatory techniques” developed and used not only in connection with observatories but also by instrument makers in their workshops, navy officers on ships, civil engineers in the field, and many others. These techniques included the calibration and coordination of precision instruments for making observations and taking measurements; methods of data acquisition and tabulation; and the production of maps, drawings, and photographs, as well as numerical, textual, and visual representations of the heavens and the earth. They also encompassed the social management of personnel within observatories, the coordination of international scientific collaborations, and interactions with dignitaries and the public. The state observatory occupied a particularly privileged place in the life of the city. With their imposing architecture and ancient traditions, state observatories served representative purposes for their patrons, whether as symbols of a monarch’s enlightened power, a nation’s industrial and scientific excellence, or republican progressive values. Focusing on observatory techniques in settings from Berlin, London, Paris, and Rome to Australia, Russia, Thailand, and the United States, The Heavens on Earth is a major contribution to the history of science. Contributors: David Aubin, Charlotte Bigg, Guy Boistel, Theresa Levitt, Massimo Mazzotti, Ole Molvig, Simon Schaffer, Martina Schiavon , H. Otto Sibum, Richard Staley, John Tresch, Simon Werrett, Sven Widmalm

Hesiod's Anvil

Author : Andrew J. Simoson
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 47,8 Mb
Release : 2007-05-01
Category : Mathematics
ISBN : 9781470457259

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Hesiod's Anvil by Andrew J. Simoson Pdf

This book is about models of motion as enunciated by poets, philosophers, storytellers, and early scientists. By using popular literature and philosophy to bring the mechanics of motion alive, blending with equal voice both romantic whimsy and derived equations.

Seven Days That Divide the World

Author : John C. Lennox
Publisher : Zondervan
Page : 190 pages
File Size : 53,8 Mb
Release : 2011-08-23
Category : Religion
ISBN : 9780310492191

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Seven Days That Divide the World by John C. Lennox Pdf

What did the writer of Genesis mean by “the first day”? Is it a literal week or a series of time periods? If I believe that the earth is 4.5 billion years old, am I denying the authority of Scripture? In response to the continuing controversy over the interpretation of the creation narrative in Genesis, John Lennox proposes a succinct method of reading and interpreting the first chapters of Genesis without discounting either science or Scripture. With examples from history, a brief but thorough exploration of the major interpretations, and a look into the particular significance of the creation of human beings, Lennox suggests that Christians can heed modern scientific knowledge while staying faithful to the biblical narrative. He moves beyond a simple response to the controversy, insisting that Genesis teaches us far more about the God of Jesus Christ and about God’s intention for creation than it does about the age of the earth. With this book, Lennox offers a careful yet accessible introduction to a scientifically-savvy, theologically-astute, and Scripturally faithful interpretation of Genesis.

Heavenly Mathematics

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 218 pages
File Size : 46,8 Mb
Release : 2013
Category : Mathematics
ISBN : 9780691148922

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Heavenly Mathematics by Glen Van Brummelen Pdf

Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegent proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries. -- Jacket.

Einstein's Heroes

Author : Robyn Arianrhod
Publisher : Oxford University Press
Page : 340 pages
File Size : 47,9 Mb
Release : 2006
Category : Biography & Autobiography
ISBN : 0195308905

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Einstein's Heroes by Robyn Arianrhod Pdf

Blending science, history, and biography, this book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and James Clerk Maxwell.

Heaven and Earth

Author : I. R. Plimer
Publisher : Taylor Trade Publishing
Page : 0 pages
File Size : 41,6 Mb
Release : 2009
Category : Science
ISBN : 1589794729

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Heaven and Earth by I. R. Plimer Pdf

Climate, sea level, and ice sheets have always changed, and the changes observed today are less than those of the past. Climate changes are cyclical and are driven by the Earth's position in the galaxy, the sun, wobbles in the Earth's orbit, ocean currents, and plate tectonics. In previous times, atmospheric carbon dioxide was far higher than at present but did not drive climate change. No runaway greenhouse effect or acid oceans occurred during times of excessively high carbon dioxide. During past glaciations, carbon dioxide was higher than it is today. The non-scientific popular political view is that humans change climate. Do we have reason for concern about possible human-induced climate change? This book's 504 pages and over 2,300 references to peer-reviewed scientific literature and other authoritative sources engagingly synthesize what we know about the sun, earth, ice, water, and air. Importantly, in a parallel to his 1994 book challenging "creation science," Telling Lies for God, Ian Plimer describes Al Gore's book and movie An Inconvenient Truth as long on scientific "misrepresentations." "Trying to deal with these misrepresentations is somewhat like trying to argue with creationists," he writes, "who misquote, concoct evidence, quote out of context, ignore contrary evidence, and create evidence ex nihilo."

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
Page : 514 pages
File Size : 40,8 Mb
Release : 2012-03-15
Category : Mathematics
ISBN : 9780486136318

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Mathematics and the Physical World by Morris Kline Pdf

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

The World Treasury of Physics, Astronomy, and Mathematics

Author : Timothy Ferris,Clifton Fadiman
Publisher : Little Brown & Company
Page : 859 pages
File Size : 45,9 Mb
Release : 1993
Category : Education
ISBN : 0316281336

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The World Treasury of Physics, Astronomy, and Mathematics by Timothy Ferris,Clifton Fadiman Pdf

The writings of more than 60 authors including Isaac Asimov, Albert Einstein, Stephen Hawking, Pierre Curie, Primo Levi and James Gleick, are represented in this volume. Each expresses a perspective on the Sciences.

Reading and Writing the World with Mathematics

Author : Eric Gutstein
Publisher : Routledge
Page : 274 pages
File Size : 51,6 Mb
Release : 2012-09-10
Category : Education
ISBN : 9781136284656

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Reading and Writing the World with Mathematics by Eric Gutstein Pdf

Mathematics education in the United States can reproduce social inequalities whether schools use either "basic-skills" curricula to prepare mainly low-income students of color for low-skilled service jobs or "standards-based" curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.

Mathematics Is about the World

Author : Robert E. Knapp
Publisher : Createspace Independent Publishing Platform
Page : 0 pages
File Size : 52,8 Mb
Release : 2014-08-14
Category : Mathematics
ISBN : 150055197X

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Mathematics Is about the World by Robert E. Knapp Pdf

What is mathematics about? Is there a mathematical universe glimpsed by a mathematical intuition? Or is mathematics an arbitrary game of symbols, with no inherent meaning, that somehow finds application to life on earth? Robert Knapp holds, on the contrary, that mathematics is about the world. His book develops and applies its alternative viewpoint, first, to elementary geometry and the number system and, then, to more advanced topics, such as topology and group representations. Its theme is that mathematics, however abstract, arises from and is shaped by requirements of indirect measurement. Eratosthenes, in 200 BC, demonstrated the power of indirect measurement when he estimated the circumference of the earth by measuring a shadow at noon, in Alexandria, on the day of the summer solstice. Establishing geometric relationships, solving equations, finding approximations, and, generally, discovering quantitative relationships are tools of indirect measurement: They are the core of mathematics, the drivers of its development, and the heart of its power to enhance our lives.

Chaotic Fishponds and Mirror Universes: The Strange Math Behind the Modern World

Author : Richard Elwes
Publisher : Quercus
Page : 368 pages
File Size : 48,5 Mb
Release : 2014-06-03
Category : Mathematics
ISBN : 9781623655181

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Chaotic Fishponds and Mirror Universes: The Strange Math Behind the Modern World by Richard Elwes Pdf

Chaotic Fishponds and Mirror Universes explains how mathematics determines every aspect of our lives-â??right down to the foundations of our bodies. Math is everywhere, whether we are aware of it or not. What can we learn from fish in a pond? How do social networks connect the world? How can artificial intelligences learn? How can math make you a better liar? Exploring math through thirty-five of its odd and often unexpected applications, this book provides an insight into the 'hidden wiring' that governs our world.

The World of Mathematics

Author : James Roy Newman
Publisher : Courier Corporation
Page : 788 pages
File Size : 53,9 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 0486411532

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The World of Mathematics by James Roy Newman Pdf

Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).

The Almagest

Author : Claudius Ptolemy
Publisher : Unknown
Page : 0 pages
File Size : 53,9 Mb
Release : 2014
Category : Science
ISBN : 1888009438

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The Almagest by Claudius Ptolemy Pdf

The Almagest is by far the greatest work in astronomy in ancient times. In a massive series of thirteen books, Ptolemy shows how every detail of the motions of the sun, moon, planets, and stars can be expressed using geometrical models that can be used to compute celestial positions with remarkable accuracy The present selection covers all the essential features of Ptolemy s treatment of the heavens, omitting only more difficult and abstruse matters such as the moon s motion and the calculation of eclipses. In the interest of conciseness, development of planetary theories is restricted to two planets, one inferior (Venus) and one superior (Mars). Ptolemy s text is accompanied by extensive notes and introductions that are aimed at making the book accessible to students encountering Ptolemy for the first time. This edition is designed to provide everything needed for a one-semester course, or it can be a component of a more general course on planetary theory or history of astronomy."

Science and Technology in World History

Author : James Edward McClellan,Harold Dorn
Publisher : JHU Press
Page : 502 pages
File Size : 42,5 Mb
Release : 2006-04-14
Category : History
ISBN : 0801883601

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Science and Technology in World History by James Edward McClellan,Harold Dorn Pdf

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