Download or read book A History of Ancient Mathematical Astronomy written by O. Neugebauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book The History and Practice of Ancient Astronomy written by James Evans and published by Oxford University Press. This book was released on 1998-10-01 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History and Practice of Ancient Astronomy combines new scholarship with hands-on science to bring readers into direct contact with the work of ancient astronomers. While tracing ideas from ancient Babylon to sixteenth-century Europe, the book places its greatest emphasis on the Greek period, when astronomers developed the geometric and philosophical ideas that have determined the subsequent character of Western astronomy. The author approaches this history through the concrete details of ancient astronomical practice. Carefully organized and generously illustrated, the book can teach readers how to do real astronomy using the methods of ancient astronomers. For example, readers will learn to predict the next retrograde motion of Jupiter using either the arithmetical methods of the Babylonians or the geometric methods of Ptolemy. They will learn how to use an astrolabe and how to design sundials using Greek and Roman techniques. The book also contains supplementary exercises and patterns for making some working astronomical instruments, including an astrolabe and an equatorium. More than a presentation of astronomical methods, the book provides a critical look at the evidence used to reconstruct ancient astronomy. It includes extensive excerpts from ancient texts, meticulous documentation, and lively discussions of the role of astronomy in the various cultures. Accessible to a wide audience, this book will appeal to anyone interested in how our understanding of our place in the universe has changed and developed, from ancient times through the Renaissance.

Download or read book Babylonian Mathematical Astronomy Procedure Texts written by Mathieu Ossendrijver and published by Springer Science & Business Media. This book was released on 2012-04-24 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.

Download or read book Mathematical Astronomy in Copernicus De Revolutionibus written by N.M. Swerdlow and published by Springer. This book was released on 1984-07-02 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I first laid out the framework for A History of Ancient Mathe matical Astronomy, I intended to carry the discussion down to the last applications of Greek astronomical methodology, i. e. Copernicus, Brahe, and Kepler. But as the work proceeded, it became evident that this plan was much too ambitious, and so I decided to terminate my History with late antiquity, well before Islam. Nevertheless, I did not discard the running commentary that I had prepared when studying De revolutionibus in its relation to the methodology of the Almagest. Only recently, E. S. Kennedy and his collaborators had opened access to the" Maragha School" (mainly Ibn ash-Shalir), revealing close parallels to Copernicus's procedures. Accordingly, it seemed useful to make available a modern analysis of De revolutionibus, and thus in 1975 I prepared for publication "Notes on Copernicus. " In the meantime, however, Noel Swerdlow, also starting from Greek astronomy, not only extended his work into a deep analysis of De revolu tionibus, but also systematically investigated its sources and predecessors (Peurbach, Regiomontanus, etc. ). I was aware of these studies through his publications as well as from numerous conversations on the subject at The Institute for Advanced Study and at Brown University. It became clear to me that my own investigations lay at too superficial a level, and I therefore withdrew my manuscript and suggested to Swerdlow that he undertake a thoroughgoing revision and amplification of my "Notes. " His acceptance of my proposal initiated the present publication.

Download or read book Chasing Shadows written by Clemency Montelle and published by JHU Press. This book was released on 2011-05-15 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lunar and solar eclipses have always fascinated human beings. Digging deep into history, Clemency Montelle examines the ways in which theoretical understanding of eclipses originated and how ancient and medieval cultures shared, developed, and preserved their knowledge of these awe-inspiring events. Eclipses were the celestial phenomena most challenging to understand in the ancient world. Montelle draws on original research—much of it derived from reading primary source material written in Akkadian and Sanskrit, as well as ancient Greek, Latin, and Arabic—to explore how observers in Babylon, the Islamic Near East, Greece, and India developed new astronomical and mathematical techniques to predict and describe the features of eclipses. She identifies the profound scientific discoveries of these four cultures and discusses how the societies exchanged information about eclipses. In constructing this history, Montelle establishes a clear pattern of the transmission of scientific ideas from one culture to another in the ancient and medieval world. Chasing Shadows is an invitingly written and highly informative exploration of the early history of astronomy.

Download or read book Astronomy and History Selected Essays written by O. Neugebauer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of papers assembled here on a variety of topics in ancient and medieval astronomy was originally suggested by Noel Swerdlow of the University of Chicago. He was also instrumental in making a selection* which would, in general, be on the same level as my book The Exact Sciences in Antiquity. It may also provide a general background for my more technical History of Ancient Mathematical Astronomy and for my edition of Astronomi cal Cuneiform Texts. Several of these republished articles were written because I wanted to put to rest well-entrenched historical myths which could not withstand close scrutiny of the sources. Examples are the supposed astronomical origin of the Egyptian calendar (see [9]), the discovery of precession by the Babylonians [16], and the "simplification" of the Ptolemaic system in Copernicus' De Revolutionibus [40]. In all of my work I have striven to present as accurately as I could what the original sources reveal (which is often very different from the received view). Thus, in [32] discussion of the technical terminology illuminates the meaning of an ancient passage which has been frequently misused to support modern theories about ancient heliocentrism; in [33] an almost isolated instance reveals how Greek world-maps really looked; and in [43] the Alexandrian Easter computus, held in awe by many historians, is shown from Ethiopic sources to be based on very simple procedures.

Download or read book Greek Astronomy written by Thomas L. Heath and published by Cambridge University Press. This book was released on 2014-03-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).

Download or read book The Exact Sciences in Antiquity written by Otto Neugebauer and published by Courier Corporation. This book was released on 1969-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures delivered at Cornell University in the fall of 1949, and since revised, this is the standard non-technical coverage of Egyptian and Babylonian mathematics and astronomy, and their transmission to the Hellenistic world. Entirely modern in its data and conclusions, it reveals the surprising sophistication of certain areas of early science, particularly Babylonian mathematics. After a discussion of the number systems used in the ancient Near East (contrasting the Egyptian method of additive computations with unit fractions and Babylonian place values), Dr. Neugebauer covers Babylonian tables for numerical computation, approximations of the square root of 2 (with implications that the Pythagorean Theorem was known more than a thousand years before Pythagoras), Pythagorean numbers, quadratic equations with two unknowns, special cases of logarithms and various other algebraic and geometric cases. Babylonian strength in algebraic and numerical work reveals a level of mathematical development in many aspects comparable to the mathematics of the early Renaissance in Europe. This is in contrast to the relatively primitive Egyptian mathematics. In the realm of astronomy, too, Dr. Neugebauer describes an unexpected sophistication, which is interpreted less as the result of millennia of observations (as used to be the interpretation) than as a competent mathematical apparatus. The transmission of this early science and its further development in Hellenistic times is also described. An Appendix discusses certain aspects of Greek astronomy and the indebtedness of the Copernican system to Ptolemaic and Islamic methods. Dr. Neugebauer has long enjoyed an international reputation as one of the foremost workers in the area of premodern science. Many of his discoveries have revolutionized earlier understandings. In this volume he presents a non-technical survey, with much material unique on this level, which can be read with great profit by all interested in the history of science or history of culture. 14 plates. 52 figures.

Download or read book Astronomy and Mathematics in Ancient China written by Christopher Cullen and published by Cambridge University Press. This book was released on 1996-04-18 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Mathematics in Ancient Iraq written by Eleanor Robson and published by Princeton University Press. This book was released on 2020-06-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.

Download or read book A Mathematician s Journeys written by Alexander Jones and published by Springer. This book was released on 2016-02-03 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.

Download or read book A History of Astronomy from Thales to Kepler written by J. L. E. Dreyer and published by Courier Corporation. This book was released on 1953-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masterpiece of historical insight and scientific accuracy and the definitive work on Greek astronomy and the Copernican Revolution. Includes surveys of European and Islamic cosmologies of the Middle Ages and the Renaissance.

Download or read book Ancient Astronomy and Celestial Divination written by Noel M. Swerdlow and published by MIT Press. This book was released on 1999 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent work on Babylonian celestialdivination and on the Greek inheritors of the Babyloniantradition.In the ancient world, the collection and study of celestial phenomena and the intepretation of their prophetic significance, especially as applied to kings and nations, were closely related sciences carried out by the same scholars. Both ancient sources and modern research agree that astronomy and celestial divination arose in Babylon. Only in the late nineteenth century, however, did scholars begin to identify and decipher the original Babylonian sources, and the process of understanding those sources has been long and difficult. This volume presents recent work on Babylonian celestial divination and on the Greek inheritors of the Babylonian tradition. Both philological and mathematical work are included. The essays shed new light on all of the known textual sources, including the omen series Enuma Anu Enlil, which contains omens from as far back as the early second or even third millennium, and the earliest personal horoscopes, from about 400 B.C., as well as the Astronomical Diaries, ephemerides, and other observational and mathematical texts. One essay concerns astronomical papyri that confirm the extensive transmission of Babylonian methods into Greek; a study of Ptolemy's lunar theory suggests that Ptolemy relied more on his own observations than previously thought; and an analysis of Theon's commentary on Ptolemy's Handy Tables shows that Theon explicated their meaning both conscientiously and competently.ContributorsAsger Aaboe, Alan C. Bowen, Lis Brack-Bernsen, John P. Britton, Bernard R. Goldstein, Gerd Graßhoff, Hermann Hunger, Alexander Jones, Erica Reiner, F. Rochberg, N. M. Swerdlow, Anne Tihon, C. B. F. Walker

Download or read book Ptolemy s Almagest written by Ptolemy and published by Princeton University Press. This book was released on 1998-11-08 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A History of Astronomy written by Anton Pannekoek and published by Courier Corporation. This book was released on 1989-01-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-balanced, carefully reasoned study covers such topics as Ptolemaic theory, work of Copernicus, Kepler, Newton, Eddington's work on stars, much more. Illustrated. References.

Download or read book A Survey of the Almagest written by Olaf Pedersen and published by Springer Science & Business Media. This book was released on 2010-11-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Almagest, by the Greek astronomer and mathematician Ptolemy, is the most important surviving treatise on early mathematical astronomy, offering historians valuable insight into the astronomy and mathematics of the ancient world. Pedersen's 1974 publication, A Survey of the Almagest, is the most recent in a long tradition of companions to the Almagest. Part paraphrase and part commentary, Pedersen's work has earned the universal praise of historians and serves as the definitive introductory text for students interested in studying the Almagest. In this revised edition, Alexander Jones, a distinguished authority on the history of early astronomy, provides supplementary information and commentary to the original text to account for scholarship that has appeared since 1974. This revision also incorporates various corrections to Pedersen's original text that have been identified since its publication. This volume is intended to provide students of the history of astronomy with a self-contained introduction to the Almagest, helping them to understand and appreciate Ptolemy's great and classical work.

Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.