Heavenly Mathematics
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Heavenly Mathematics
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2017-04-04
Heavenly Mathematics written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Mathematics categories.
"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."--Jacket.
The Mathematics Of The Heavens And The Earth
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2021-08-10
The Mathematics Of The Heavens And The Earth written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-10 with Mathematics categories.
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.
Trigonometry A Very Short Introduction
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Author : Glen Van Brummelen
language : en
Publisher: Oxford University Press
Release Date : 2020-01-23
Trigonometry A Very Short Introduction written by Glen Van Brummelen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars". In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
The Doctrine Of Triangles
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2021-06-08
The Doctrine Of Triangles written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with MATHEMATICS categories.
An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.
Heavenly Numbers
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Author : Christopher Cullen
language : en
Publisher: Oxford University Press
Release Date : 2017-11-17
Heavenly Numbers written by Christopher Cullen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Mathematics categories.
This book is a history of the development of mathematical astronomy in China, from the late third century BCE, to the early 3rd century CE - a period often referred to as 'early imperial China'. It narrates the changes in ways of understanding the movements of the heavens and the heavenly bodies that took place during those four and a half centuries, and tells the stories of the institutions and individuals involved in those changes. It gives clear explanations of technical practice in observation, instrumentation, and calculation, and the steady accumulation of data over many years - but it centres on the activity of the individual human beings who observed the heavens, recorded what they saw, and made calculations to analyse and eventually make predictions about the motions of the celestial bodies. It is these individuals, their observations, their calculations, and the words they left to us that provide the narrative thread that runs through this work. Throughout the book, the author gives clear translations of original material that allow the reader direct access to what the people in this book said about themselves and what they tried to do.
The Almagest
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Author : Claudius Ptolemy
language : en
Publisher:
Release Date : 2014
The Almagest written by Claudius Ptolemy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
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."
Hesiod S Anvil
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Author : Andrew J. Simoson
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-05-01
Hesiod S Anvil written by Andrew J. Simoson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Mathematics categories.
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.
The Crossing Of Heaven
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Author : Karl Gustafson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
The Crossing Of Heaven written by Karl Gustafson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with Mathematics categories.
Among the group of physics honors students huddled in 1957 on a Colorado mountain watching Sputnik bisect the heavens, one young scientist was destined, three short years later, to become a key player in America’s own top-secret spy satellite program. One of our era’s most prolific mathematicians, Karl Gustafson was given just two weeks to write the first US spy satellite’s software. The project would fundamentally alter America’s Cold War strategy, and this autobiographical account of a remarkable academic life spent in the top flight tells this fascinating inside story for the first time. Gustafson takes you from his early pioneering work in computing, through fascinating encounters with Nobel laureates and Fields medalists, to his current observations on mathematics, science and life. He tells of brushes with death, being struck by lightning, and the beautiful women who have been a part of his journey.
On The Revolutions Of The Heavenly Spheres Concise Edition
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Author : Copernicus
language : en
Publisher: Simon and Schuster
Release Date : 2024-03-12
On The Revolutions Of The Heavenly Spheres Concise Edition written by Copernicus and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-12 with Science categories.
Controversial at the time, Copernicus's discoveries led to the scientific revolution, and a greater understanding of our place in the universe. An accessible, abridged edition with a new introduction. Renaissance Natural philosopher Nicolaus Copernicus's pioneering discovery of the heliocentric nature of the solar system is one of the few identifiable moments in history that define the understanding of the nature of all things. His great work was the consequence of long observation and resulted in the first stage of the Scientific Revolution by correctly positing that the earth and other planets of the solar system revolved around the sun. Not only did this promote further study to understand the place of humanity in the world and the universe, it questioned the authority of the organised Christian Church in the West to be the keeper of fundamental truths. Ultimately this would lead to the Enlightenment, and the separation of religion, government and science. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.
Math Heaven Time
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Author : Mandy Kahn
language : en
Publisher:
Release Date : 2016
Math Heaven Time written by Mandy Kahn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Poetry categories.
Poetry. After selling out its British edition, Mandy Kahn's stunning first collection of poems, MATH, HEAVEN, TIME, is now available in an American paperback edition. This is a collection with easy lyricism and clear- eyed wisdom woven effortlessly into its remarkably readable fabric, written by a poet whom World Literature Today calls "a rising star of West Coast poetry," and about whom Flaunt magazine says, "She is that relatively rare cultural anomaly, the professional poet, who confounds the warnings of finger- wagging parents and college counsellors everywhere."