Heavenly Mathematics

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Heavenly Mathematics

Glen Van Brummelen
Heavenly Mathematics Book PDF

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 208 pages
File Size : 49,8 Mb
Release : 2017-04-04
Category : Mathematics
ISBN : 9780691175997

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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."--Jacket.

Heavenly Mathematics

Glen Van Brummelen
Heavenly Mathematics Book PDF

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 218 pages
File Size : 53,6 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 elegant 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.

The Mathematics of the Heavens and the Earth

Glen Van Brummelen
The Mathematics of the Heavens and the Earth Book PDF

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 352 pages
File Size : 52,9 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 Almagest

Claudius Ptolemy
The Almagest Book PDF

Author : Claudius Ptolemy
Publisher : Unknown
Page : 0 pages
File Size : 42,8 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."

Mathematics Of Life

Ian Stewart
Mathematics Of Life Book PDF

Author : Ian Stewart
Publisher : Profile Books
Page : 335 pages
File Size : 42,9 Mb
Release : 2011-04-07
Category : Mathematics
ISBN : 9781847653505

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Mathematics Of Life by Ian Stewart Pdf

A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.

Concepts of Modern Mathematics

Ian Stewart
Concepts of Modern Mathematics Book PDF

Author : Ian Stewart
Publisher : Courier Corporation
Page : 368 pages
File Size : 47,8 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486134956

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Concepts of Modern Mathematics by Ian Stewart Pdf

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Math, Heaven, Time

Mandy Kahn
Math Heaven Time Book PDF

Author : Mandy Kahn
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2016
Category : Poetry
ISBN : 1908998989

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Math, Heaven, Time by Mandy Kahn Pdf

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."

The Prince of Mathematics

M. B. W. Tent
The Prince of Mathematics Book PDF

Author : M. B. W. Tent
Publisher : A K Peters/CRC Press
Page : 0 pages
File Size : 41,7 Mb
Release : 2008-10-23
Category : Mathematics
ISBN : 1568814550

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The Prince of Mathematics by M. B. W. Tent Pdf

Learn about the boy who - could read and add numbers when he was three years old, - thwarted his teacher by finding a quick and easy way to sum the numbers 1-100, - attracted the attention of a Duke with his genius, and became the man who... - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.

Heaven Engine

Albert Clarkson
Heaven Engine Book PDF

Author : Albert Clarkson
Publisher : AuthorHouse
Page : 598 pages
File Size : 44,9 Mb
Release : 2004-08-30
Category : Fiction
ISBN : 9781418468514

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Heaven Engine by Albert Clarkson Pdf

A future of designer humans, smart machines, protean technology. Our dwindled descendents exiled to large space stations visit Cleansed Earth occasionally for gravity- and sensory-deprivation therapy. Human longevity, at last attained, ironically creates a Great Plague of Suicidal Despair, Disnovelling, born of the intruding longer prospect of bloody Nature and of the impersonal hurtling cosmic vastitudes. Centwen, a resurrected twentieth century archetype joined by elites and archetypes from other centuries, learns from his tour guides, the superbot, Prodigy, and its human creator, Great Psychodor, about a last-chance project to create not a mythical but a secular, dynamic, intelligent Heaven; and, if it succeeds, whether or not transformed humans and/or their intelligent machines can escape to it.

The History of Mathematics: A Source-Based Approach: Volume 1

June Barrow-Green,Jeremy Gray,Robin Wilson
The History of Mathematics A Source Based Approach Volume 1 Book PDF

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Soc.
Page : 488 pages
File Size : 47,5 Mb
Release : 2019-05-08
Category : Mathematics
ISBN : 9781470443528

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The History of Mathematics: A Source-Based Approach: Volume 1 by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Exploring the Heavenly Sanctuary

Marc Rasell
Exploring the Heavenly Sanctuary Book PDF

Author : Marc Rasell
Publisher : Marc Rasell
Page : 134 pages
File Size : 46,7 Mb
Release : 2012-06
Category : Religion
ISBN : 9781471741876

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Exploring the Heavenly Sanctuary by Marc Rasell Pdf

This book reveals whether there is a temple in heaven and what its purpose is. Christ is revealed as our High Priest who intercedes for us. This is the heart of the Seventh-day Adventist message. Issues addressed include: Can we be sure there is a real temple in heaven? What is the purpose of this temple? When does the judgement start? Do we need to keep the Ten Commandments? Should we observe a literal Sabbath? And much more. The heavenly sanctuary reveals Jesus who ever intercedes for us (Hebrews 7:25). ""An extremely thorough, engaging presentation of the framework of Seventh-day Adventist beliefs."" - Kirkus Review

Trigonometry: A Very Short Introduction

Glen Van Brummelen
Trigonometry A Very Short Introduction Book PDF

Author : Glen Van Brummelen
Publisher : Oxford University Press
Page : 193 pages
File Size : 50,9 Mb
Release : 2020-01-23
Category : Mathematics
ISBN : 9780192545473

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Trigonometry: A Very Short Introduction by Glen Van Brummelen Pdf

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.

What If the Bible Had Never Been Written?

D. James Kennedy,Jerry Newcombe
What If the Bible Had Never Been Written Book PDF

Author : D. James Kennedy,Jerry Newcombe
Publisher : HarperChristian + ORM
Page : 304 pages
File Size : 55,5 Mb
Release : 2008-01-01
Category : Religion
ISBN : 9781418519315

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What If the Bible Had Never Been Written? by D. James Kennedy,Jerry Newcombe Pdf

But the Bible, more than any other book, is also the most maligned on the market. Many of the cities of our culture dismiss the Word of God. In What If the Bible Had Never Been Written?, D. James Kennedy and Jerry Newcombe show that this collection of books was indeed the inspiration for almost all of the great explorers, scientists, writers, artists, politicians, and educators the world has ever known. That such a book, which has influenced so many and stood the test of time for so long, is dismissed as folklore or myth, just goes to show what extremes nonbelievers will go to rationalize their behavior. From the Ten Commandments, which many of our laws and government are based upon, to the Golden Rule, a verse taken straight out of the New Testament, to many of today's most common phrases and expressions...there is no doubt as to the influence the Bible has on everyone, in some degree, every day. What If the Bible Had Never Been Written? provides a well-documented and in-depth look at the impact the Book of Books has had on humanity, pointing to specific areas in today's society that would not be as they are now, if it were not for the Bible.

The Doctrine of Triangles

Glen Van Brummelen
The Doctrine of Triangles Book PDF

Author : Glen Van Brummelen
Publisher : Princeton University Press
Page : 390 pages
File Size : 49,6 Mb
Release : 2021-06-08
Category : MATHEMATICS
ISBN : 9780691179414

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The Doctrine of Triangles by Glen Van Brummelen Pdf

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.

Ptolemy's Philosophy

Jacqueline Feke
Ptolemy s Philosophy Book PDF

Author : Jacqueline Feke
Publisher : Princeton University Press
Page : 250 pages
File Size : 52,7 Mb
Release : 2018-10-16
Category : Science
ISBN : 9780691179582

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Ptolemy's Philosophy by Jacqueline Feke Pdf

The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.