A History of Ancient Mathematical Astronomy

A History of Ancient Mathematical Astronomy

Author: O. Neugebauer

Publisher: Springer Science & Business Media

Published: 2004-09-17

Total Pages: 1486

ISBN-13: 9783540069959

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From the reviews: "This monumental work will henceforth be the standard interpretation of ancient mathematical astronomy. It is easy to point out its many virtues: comprehensiveness and common sense are two of the most important. Neugebauer has studied profoundly every relevant text in Akkadian, Egyptian, Greek, and Latin, no matter how fragmentary; [...] With the combination of mathematical rigor and a sober sense of the true nature of the evidence, he has penetrated the astronomical and the historical significance of his material. [...] His work has been and will remain the most admired model for those working with mathematical and astronomical texts. D. Pingree in Bibliotheca Orientalis, 1977 "... a work that is a landmark, not only for the history of science, but for the history of scholarship. HAMA [History of Ancient Mathematical Astronomy] places the history of ancient Astronomy on a entirely new foundation. We shall not soon see its equal. N.M. Swerdlow in Historia Mathematica, 1979


Brahmaguptaganitam

Brahmaguptaganitam

Author:

Publisher:

Published: 2014

Total Pages: 189

ISBN-13: 9789380864198

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Chapter on ancient mathematics from Brahmasputasiddhanta, treatise on Hindu astronoly.


The Mathematics of the Heavens and the Earth

The Mathematics of the Heavens and the Earth

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2021-08-10

Total Pages: 352

ISBN-13: 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.


On Both Sides of the Strait of Gibraltar

On Both Sides of the Strait of Gibraltar

Author: Julio Samsó

Publisher: BRILL

Published: 2020-09-25

Total Pages: 1027

ISBN-13: 9004436588

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In On Both Sides of the Strait of Gibraltar Julio Samsó shows that astronomical sources, written in al-Andalus, the Maghrib and the Iberian Peninsula, belong to the same tradition and emphasizes the role of al-Andalus and the Iberian Peninsula in the transmission of Islamic astronomy to medieval Europe.


Transactions of the International Astronomical Union: Reports on Astronomy

Transactions of the International Astronomical Union: Reports on Astronomy

Author: C. de Jager

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 745

ISBN-13: 9401025878

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This volume contains the fifteenth tri-annual reports of the Presidents of the forty Commissions of the International Astronomical Union; it refers to the progress in our discipline during the three years 1970, 1971 and 1972. As compared to earlier volumes a gradual change in character is unmistakable. The ever increasing flow of publications, combined with the obvious necessity to keep the Reports at a reasonable size and price level has gradually forced the Commission Presidents to be more selective than before in drafting their Reports. I have certainly stimulated them into that direction - in order that Reports like these be valuable and lasting, it seems imperative that the individual contributions have the character of a critical overall review, where a fairly complete summary is given of the major develop ments and discoveries of the past three years, and in which the broad developments and new trends be clearly outlined, while at the same time essential problems for future research are identified. With respect to the latter item I have suggested the Commission Presidents to add to their reports a brief section on scientific priorities for future research in the field of their Commissions. In order to save space I have suggested to Commission Presidents that references to published papers are given on the basis of their number in the published issues of Astronomy and Astrophysics Abstracts. For instance, the indication (06. 078. 019) or (AAA 06. 078.


A Survey of Islamic Astronomical Tables

A Survey of Islamic Astronomical Tables

Author: Edward Stewart Kennedy

Publisher: American Philosophical Society

Published: 1956

Total Pages: 82

ISBN-13: 9780871694621

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The source material for the study of medieval oriental astronomy consists of Byzantine Greek, Sanscrit, Hebrew, Arabic, Persian, and Turkish astronomical and astrological manuscripts. If one desires to build up a detailed picture of Islamic astronomy, one can choose material from these available manuscripts. Of these manuscripts it is possible to isolate a group of works, the "zijes". A "zij" consists of the numerical tables and accompanying explanation sufficient to measure time and to compute planetary and stellar positions, appearance, and eclipses. This paper is a survey of the number, distribution, contents, and relations between "zijes" written in Arabic or Persian during the period from the 8th through the 15th centuries. Illustrations. Oversize.


Expounding the Mathematical Seed. Vol. 1: The Translation

Expounding the Mathematical Seed. Vol. 1: The Translation

Author: Agathe Keller

Publisher: Springer Science & Business Media

Published: 2006-06-22

Total Pages: 224

ISBN-13: 3764375922

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In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. This volume is a literal English translation of Bhaskara’s commentary complete with an introduction.