The Mathematics of the Heavens and the Earth

The Mathematics of the Heavens and the Earth
Author: Glen Van Brummelen
Publisher: Princeton University Press
Total Pages: 352
Release: 2021-08-10
Genre: Mathematics
ISBN: 1400833310

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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.

Heavenly Mathematics

Heavenly Mathematics
Author: Glen Van Brummelen
Publisher: Princeton University Press
Total Pages: 208
Release: 2017-04-04
Genre: Mathematics
ISBN: 0691175993

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"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.

Exploring the World of Mathematics

Exploring the World of Mathematics
Author: John Hudson Tiner
Publisher: New Leaf Publishing Group
Total Pages: 159
Release: 2004-07-01
Genre: Religion
ISBN: 161458155X

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Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.

The Almagest

The Almagest
Author: Claudius Ptolemy
Publisher:
Total Pages: 0
Release: 2014
Genre: Science
ISBN: 9781888009439

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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."

The Pythagorean World

The Pythagorean World
Author: Jane McDonnell
Publisher: Springer
Total Pages: 400
Release: 2016-11-17
Genre: Mathematics
ISBN: 331940976X

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This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.

Our Mathematical Universe

Our Mathematical Universe
Author: Max Tegmark
Publisher: Vintage
Total Pages: 434
Release: 2015-02-03
Genre: Science
ISBN: 0307744256

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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

The Mathematics of Egypt, Mesopotamia, China, India, and Islam
Author: Victor J. Katz
Publisher: Princeton University Press
Total Pages: 712
Release: 2007-08-05
Genre: Mathematics
ISBN: 9780691114859

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In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Einstein's Heroes

Einstein's Heroes
Author: Robyn Arianrhod
Publisher: Oxford University Press
Total Pages: 340
Release: 2006
Genre: Biography & Autobiography
ISBN: 9780195308907

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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.

Seven Days That Divide the World

Seven Days That Divide the World
Author: John C. Lennox
Publisher: Zondervan
Total Pages: 191
Release: 2011-08-23
Genre: Religion
ISBN: 031049219X

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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.

Ptolemy's Almagest

Ptolemy's Almagest
Author: Ptolemy
Publisher: Princeton University Press
Total Pages: 712
Release: 1998-11-08
Genre: Science
ISBN: 0691002606

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Ptolemy's Almagest is one of the most influential scientific works in history. A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.