Author: David A. King
Publisher: Taylor & Francis
ISBN: 1040241824
Category : History
Languages : en
Pages : 422
Book Description
This is the fourth set of studies in the Variorum series by David King, a leading authority on the history of astronomy in Islamic civilization and on medieval astronomical instruments, European as well as Islamic. The first of the eleven studies collected here deals with medieval instruments in general, as precious historical sources. The following papers focus on individual astrolabes from the European Middle Ages and early Renaissance that are of singular historical importance. Two look at the origins of the simple universal horary quadrant and the complicated universal horary dial (navicula). The collection concludes with a list of all known medieval European astrolabes, ordered chronologically by region. Three "landmark" astrolabes are discussed: (1) the earliest known European astrolabe from 10th-century Catalonia, that milieu in which the astrolabe first became known to Europeans; (2) an astrolabe from 14th-century Picardy bearing numerals written in monastic ciphers as well as a later dedication mentioning two friends of Erasmus; (3) the splendid astrolabe presented in 1462 by the German astronomer Regiomontanus to his patron Cardinal Bessarion, with its enigmatic angel and Latin dedication, here presented in the context of other astrolabes of similar design from 15th-century Vienna.
Astrolabes from Medieval Europe
Author: David A. King
Publisher: Taylor & Francis
ISBN: 1040241824
Category : History
Languages : en
Pages : 422
Book Description
This is the fourth set of studies in the Variorum series by David King, a leading authority on the history of astronomy in Islamic civilization and on medieval astronomical instruments, European as well as Islamic. The first of the eleven studies collected here deals with medieval instruments in general, as precious historical sources. The following papers focus on individual astrolabes from the European Middle Ages and early Renaissance that are of singular historical importance. Two look at the origins of the simple universal horary quadrant and the complicated universal horary dial (navicula). The collection concludes with a list of all known medieval European astrolabes, ordered chronologically by region. Three "landmark" astrolabes are discussed: (1) the earliest known European astrolabe from 10th-century Catalonia, that milieu in which the astrolabe first became known to Europeans; (2) an astrolabe from 14th-century Picardy bearing numerals written in monastic ciphers as well as a later dedication mentioning two friends of Erasmus; (3) the splendid astrolabe presented in 1462 by the German astronomer Regiomontanus to his patron Cardinal Bessarion, with its enigmatic angel and Latin dedication, here presented in the context of other astrolabes of similar design from 15th-century Vienna.
Publisher: Taylor & Francis
ISBN: 1040241824
Category : History
Languages : en
Pages : 422
Book Description
This is the fourth set of studies in the Variorum series by David King, a leading authority on the history of astronomy in Islamic civilization and on medieval astronomical instruments, European as well as Islamic. The first of the eleven studies collected here deals with medieval instruments in general, as precious historical sources. The following papers focus on individual astrolabes from the European Middle Ages and early Renaissance that are of singular historical importance. Two look at the origins of the simple universal horary quadrant and the complicated universal horary dial (navicula). The collection concludes with a list of all known medieval European astrolabes, ordered chronologically by region. Three "landmark" astrolabes are discussed: (1) the earliest known European astrolabe from 10th-century Catalonia, that milieu in which the astrolabe first became known to Europeans; (2) an astrolabe from 14th-century Picardy bearing numerals written in monastic ciphers as well as a later dedication mentioning two friends of Erasmus; (3) the splendid astrolabe presented in 1462 by the German astronomer Regiomontanus to his patron Cardinal Bessarion, with its enigmatic angel and Latin dedication, here presented in the context of other astrolabes of similar design from 15th-century Vienna.
Studies on the Transmission of Medieval Mathematical Astronomy
Author: Raymond Mercier
Publisher:
ISBN: 9780012964736
Category : Astronomy
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780012964736
Category : Astronomy
Languages : en
Pages :
Book Description
Numerals and Arithmetic in the Middle Ages
Author: Charles Burnett
Publisher: Taylor & Francis
ISBN: 1040240526
Category : Mathematics
Languages : en
Pages : 382
Book Description
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.
Publisher: Taylor & Francis
ISBN: 1040240526
Category : Mathematics
Languages : en
Pages : 382
Book Description
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.
Astronomy and Astrology in al-Andalus and the Maghrib
Author: Julio Samsó
Publisher: Taylor & Francis
ISBN: 1000946592
Category : History
Languages : en
Pages : 381
Book Description
This new volume of papers by Julio Samsó deals with the development of astronomy and astrology in al-Andalus and the Maghrib between the 10th and the 19th centuries. Opening with a survey of the social history of the exact sciences in al-Andalus, the book then looks at astronomical tables: the first stages of the introduction of al-Khwarizmi's and al-Battani's tables through the school of Maslama al-Majriti, the development of Ibn al-Zarqalluh/ Azarquiel's theories in Maghribi zijes (Ibn al-Banna' and Ibn Azzuz) and the abandonment of this tradition towards the end of the 14th century. From this period onwards new Eastern zijes (Muhyi al-Din al-Maghribi, Ibn al-Shatir, Ulugh Beg) are introduced in the Maghrib and, towards the beginning of the 17th century, a translation of Abraham Zacut and José Vizinho's Almanach Perpetuum (end of the 15th century) becomes well known in the whole Islamic world, from Morocco to the Yemen. As well as zijes themselves, the author also deals with theoretical astronomy (the use of an elliptical deferent for Mercury in Ibn al-Zarqalluh's equatorium and the criticisms of Ibn al-Haytham and Jabir b. Aflah on Ptolemy's determination of the parameters of the same planet), and with the use of zijes for the calculation of horoscopes, and an experimental astrological method for the correction of mean motion planetary tables (Ibn Azzuz).
Publisher: Taylor & Francis
ISBN: 1000946592
Category : History
Languages : en
Pages : 381
Book Description
This new volume of papers by Julio Samsó deals with the development of astronomy and astrology in al-Andalus and the Maghrib between the 10th and the 19th centuries. Opening with a survey of the social history of the exact sciences in al-Andalus, the book then looks at astronomical tables: the first stages of the introduction of al-Khwarizmi's and al-Battani's tables through the school of Maslama al-Majriti, the development of Ibn al-Zarqalluh/ Azarquiel's theories in Maghribi zijes (Ibn al-Banna' and Ibn Azzuz) and the abandonment of this tradition towards the end of the 14th century. From this period onwards new Eastern zijes (Muhyi al-Din al-Maghribi, Ibn al-Shatir, Ulugh Beg) are introduced in the Maghrib and, towards the beginning of the 17th century, a translation of Abraham Zacut and José Vizinho's Almanach Perpetuum (end of the 15th century) becomes well known in the whole Islamic world, from Morocco to the Yemen. As well as zijes themselves, the author also deals with theoretical astronomy (the use of an elliptical deferent for Mercury in Ibn al-Zarqalluh's equatorium and the criticisms of Ibn al-Haytham and Jabir b. Aflah on Ptolemy's determination of the parameters of the same planet), and with the use of zijes for the calculation of horoscopes, and an experimental astrological method for the correction of mean motion planetary tables (Ibn Azzuz).
Cosmos
Author: John North
Publisher: University of Chicago Press
ISBN: 0226594416
Category : Science
Languages : en
Pages : 903
Book Description
The definitive history of humanity's search to find its place within the universe. North charts the history of astronomy and cosmology from the Paleolithic period to the present day.
Publisher: University of Chicago Press
ISBN: 0226594416
Category : Science
Languages : en
Pages : 903
Book Description
The definitive history of humanity's search to find its place within the universe. North charts the history of astronomy and cosmology from the Paleolithic period to the present day.
Studies in Medieval Astronomy and Optics
Author: J.L. Mancha
Publisher: Taylor & Francis
ISBN: 1000944492
Category : History
Languages : en
Pages : 353
Book Description
In this selection of studies, J.L. Mancha explores aspects of the development of medieval optics and astronomy, including some medieval antecedents of the work of early modern astronomers. The articles deal with Latin, Hebrew and Arabic texts, and the process of translation and transmission of knowledge, and focus on three main themes. First, the theory and astronomical use of the pinhole camera in the 12th and 13th centuries; the texts edited here contain a solution to the problem of the formation of images cast by light through triangular apertures, equivalent to Kepler's, a description of the correct procedure for measuring solar apparent diameters using finite apertures, and a derivation of the Sun's eccentricity from its apparent diameters at apogee and perigee. Second, the characteristics of the Latin and Provençal versions of Levi ben Gerson's astronomical work, composed in collaboration with the author, as well as his tables and canons for finding syzygies and the mathematical methods used in the derivation of parameters. Third, different aspects of the survival of homocentric astronomy in the Middle Ages, especially al-Bitruji's model for trepidation and the technique for calculating the hippopede resulting from Eudoxan couples.
Publisher: Taylor & Francis
ISBN: 1000944492
Category : History
Languages : en
Pages : 353
Book Description
In this selection of studies, J.L. Mancha explores aspects of the development of medieval optics and astronomy, including some medieval antecedents of the work of early modern astronomers. The articles deal with Latin, Hebrew and Arabic texts, and the process of translation and transmission of knowledge, and focus on three main themes. First, the theory and astronomical use of the pinhole camera in the 12th and 13th centuries; the texts edited here contain a solution to the problem of the formation of images cast by light through triangular apertures, equivalent to Kepler's, a description of the correct procedure for measuring solar apparent diameters using finite apertures, and a derivation of the Sun's eccentricity from its apparent diameters at apogee and perigee. Second, the characteristics of the Latin and Provençal versions of Levi ben Gerson's astronomical work, composed in collaboration with the author, as well as his tables and canons for finding syzygies and the mathematical methods used in the derivation of parameters. Third, different aspects of the survival of homocentric astronomy in the Middle Ages, especially al-Bitruji's model for trepidation and the technique for calculating the hippopede resulting from Eudoxan couples.
Islamic Astronomy and Geography
Author: David A. King
Publisher: Routledge
ISBN: 1000585158
Category : History
Languages : en
Pages : 357
Book Description
This volume of 12 studies, mainly published during the past 15 years, begins with an overview of the Islamic astronomy covering not only sophisticated mathematical astronomy and instrumentation but also simple folk astronomy, and the ways in which astronomy was used in the service of religion. It continues with discussions of the importance of Islamic instruments and scientific manuscript illustrations. Three studies deal with the regional schools that developed in Islamic astronomy, in this case, Egypt and the Maghrib. Another focuses on a curious astrological table for calculating the length of life of any individual. The notion of the world centred on the sacred Kaaba in Mecca inspired both astronomers and proponents of folk astronomy to propose methods for finding the qibla, or sacred direction towards the Kaaba; their activities are surveyed here. The interaction between the mathematical and folk traditions in astronomy is then illustrated by an 11th-century text on the qibla in Transoxania. The last three studies deal with an account of the geodetic measurements sponsored by the Caliph al-Ma'mûn in the 9th century; a world-map in the tradition of the 11th-century polymath al-Bîrûnî, alas corrupted by careless copying; and a table of geographical coordinates from 15th-century Egypt.
Publisher: Routledge
ISBN: 1000585158
Category : History
Languages : en
Pages : 357
Book Description
This volume of 12 studies, mainly published during the past 15 years, begins with an overview of the Islamic astronomy covering not only sophisticated mathematical astronomy and instrumentation but also simple folk astronomy, and the ways in which astronomy was used in the service of religion. It continues with discussions of the importance of Islamic instruments and scientific manuscript illustrations. Three studies deal with the regional schools that developed in Islamic astronomy, in this case, Egypt and the Maghrib. Another focuses on a curious astrological table for calculating the length of life of any individual. The notion of the world centred on the sacred Kaaba in Mecca inspired both astronomers and proponents of folk astronomy to propose methods for finding the qibla, or sacred direction towards the Kaaba; their activities are surveyed here. The interaction between the mathematical and folk traditions in astronomy is then illustrated by an 11th-century text on the qibla in Transoxania. The last three studies deal with an account of the geodetic measurements sponsored by the Caliph al-Ma'mûn in the 9th century; a world-map in the tradition of the 11th-century polymath al-Bîrûnî, alas corrupted by careless copying; and a table of geographical coordinates from 15th-century Egypt.
The Crest of the Peacock
Author: George Gheverghese Joseph
Publisher: Princeton University Press
ISBN: 0691135266
Category : Mathematics
Languages : en
Pages : 593
Book Description
The contents of this book cover the history of mathematics, the beginnings of written mathematics, Egyptian and Mesopotamian mathematics, special topics in Chinese mathematics, and much more.
Publisher: Princeton University Press
ISBN: 0691135266
Category : Mathematics
Languages : en
Pages : 593
Book Description
The contents of this book cover the history of mathematics, the beginnings of written mathematics, Egyptian and Mesopotamian mathematics, special topics in Chinese mathematics, and much more.
Islamic Astronomical Tables
Author: Benno van Dalen
Publisher: Taylor & Francis
ISBN: 1000944190
Category : History
Languages : en
Pages : 364
Book Description
This volume comprises nine articles on Islamic astronomy published since 1989 by Benno van Dalen. Van Dalen was the first historian of Islamic astronomy who made full use of the new possibilities of computers in the early 1990s. He implemented various statistical and numerical methods that can be used to determine the mathematical properties of medieval astronomical tables, and utilized these to obtain entirely new, until then unattainable historical results concerning the interdependence of individual tables and hence of entire astronomical works. His programmes for analysing tables, making sexagesimal calculations and converting calendar dates continue to be widely used. The five articles in the first part of this collection explain the principles of a range of statistical methods for determining unknown parameter values underlying astronomical tables and present extensive step-by-step examples for their use. The four articles in the second part provide extensive studies of materials in unpublished primary sources on Islamic astronomy that heavily depend on these methods. The volume is completed with a detailed index.
Publisher: Taylor & Francis
ISBN: 1000944190
Category : History
Languages : en
Pages : 364
Book Description
This volume comprises nine articles on Islamic astronomy published since 1989 by Benno van Dalen. Van Dalen was the first historian of Islamic astronomy who made full use of the new possibilities of computers in the early 1990s. He implemented various statistical and numerical methods that can be used to determine the mathematical properties of medieval astronomical tables, and utilized these to obtain entirely new, until then unattainable historical results concerning the interdependence of individual tables and hence of entire astronomical works. His programmes for analysing tables, making sexagesimal calculations and converting calendar dates continue to be widely used. The five articles in the first part of this collection explain the principles of a range of statistical methods for determining unknown parameter values underlying astronomical tables and present extensive step-by-step examples for their use. The four articles in the second part provide extensive studies of materials in unpublished primary sources on Islamic astronomy that heavily depend on these methods. The volume is completed with a detailed index.
Astronomy and Calendars – The Other Chinese Mathematics
Author: Jean-Claude Martzloff
Publisher: Springer
ISBN: 3662497182
Category : Mathematics
Languages : en
Pages : 485
Book Description
Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013
Publisher: Springer
ISBN: 3662497182
Category : Mathematics
Languages : en
Pages : 485
Book Description
Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of ‘concrete mathematics’ is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ...[it] provides. Joseph Dauben, EASTM, 2011 ...first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff’s careful scholarship and his overall look at the calendar beyond astronomical calculations, ..., make this book a most valuable contributions to a field of increasing interest. U. D’Ambrosio, Mathematical Reviews, 2013