Aristarchus of Samos: On the Sizes and Distances of the Sun and Moon


Book Description

This book offers the Greek text and an English translation of Aristarchus of Samos’s On the Sizes and Distances of the Sun and Moon, accompanied by a full introduction, detailed commentary, and relevant scholia. Aristarchus of Samos was active in the third century BC. He was one of the first Greek astronomers to apply geometry to the solution of astronomical problems as we can see in his only extant text, On the Sizes and Distances of the Sun and Moon. Alongside the Greek text and new English translation, the book offers readers the Latin text and English translation of Commandino’s notes on the text. Readers will also benefit from a comprehensive introductory study explaining the value of Aristarchus’s calculations and methodology throughout history, as well as detailed analyses of each part of the treatise. This volume will be of interest to students and scholars working on ancient science and astronomy and the general reader interested in the history of science.




The Sand-Reckoner


Book Description

THE CLASSIC WORK OF ARCHIMEDES The Sand-Reckoner Dimensio Circuli of Archimedes Translated by Thomas L. Heath (Original publication: Cambridge University Press, 1897). The Sand Reckoner is a work by Archimedes in which he set out to determine an upper bound for the number of grains of sand that fit into the universe. In order to do this, he had to estimate the size of the universe according to the contemporary model, and invent a way to talk about extremely large numbers. The work, also known in Latin as Archimedis Syracusani Arenarius and Dimensio Circuli, which is about 8 pages long in translation, is addressed to the Syracusan king Gelo II (son of Hiero II), and is probably the most accessible work of Archimedes; in some sense, it is the first research-expository paper. Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere and a cylinder, which Archimedes had requested to be placed on his tomb, representing his mathematical discoveries. Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus in Byzantine Constantinople, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance, while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.







The Mathematics of the Heavens and the Earth


Book Description

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.




Aristarchus of Samos - on the Sizes and Distances of the Sun and Moon


Book Description

This book offers the Greek text and an English translation of Aristarchus of Samos's On the Sizes and Distances of the Sun and Moon, accompanied by a full introduction, detailed commentary, and relevant scholia. Aristarchus of Samos was active in the third century BC. He was one of the first Greek astronomers to apply geometry to the solution of astronomical problems as we can see in his only extant text, On the Sizes and Distances of the Sun and Moon. Alongside the Greek text and new English translation, the book offers readers the Latin text and English translation of Commandino's notes on the text. Readers will also benefit from a comprehensive introductory study explaining the value of Aristarchus's calculations and methodology throughout history, as well as detailed analyses of each part of the treatise. This volume will be of interest to students and scholars working on ancient science and astronomy and the general reader interested in the history of science.




Measuring the Universe


Book Description

Measuring the Universe is the first history of the evolution of cosmic dimensions, from the work of Eratosthenes and Aristarchus in the third century B.C. to the efforts of Edmond Halley (1656—1742). "Van Helden's authoritative treatment is concise and informative; he refers to numerous sources of information, draws on the discoveries of modern scholarship, and presents the first book-length treatment of this exceedingly important branch of science."—Edward Harrison, American Journal of Physics "Van Helden writes well, with a flair for clear explanation. I warmly recommend this book."—Colin A. Ronan, Journal of the British Astronomical Association




Astronomy Activity and Laboratory Manual


Book Description

Hirshfeld's Astronomy Activity and Laboratory Manual is a collection of twenty classroom-based exercises that provide an active-learning approach to mastering and comprehending key elements of astronomy. Used as a stand-alone activity book, or as a supplement to any mainstream astronomy text, this manual provides a broad, historical approach to the field through a narrative conveying how astronomers gradually assembled their comprehensive picture of the cosmos over time. Each activity has been carefully designed to be implemented in classrooms of any size, and require no specialized equipment beyond a pencil, straightedge, and calculator. The necessary mathematical background is introduced on an as-needed basis for every activity and is accessible for most undergraduate students. This learn-by-doing approach is sure to engage and excite your introductory astronomy students!




Chasing Venus


Book Description

A “thrilling adventure story" (San Francisco Chronicle) that brings to life the astronomers who in the 1700s embarked upon a quest to calculate the size of the solar system, and paints a vivid portrait of the collaborations, rivalries, and volatile international politics that hindered them at every turn. • From the author of Magnificent Rebels and New York Times bestseller The Invention of Nature. On June 6, 1761, the world paused to observe a momentous occasion: the first transit of Venus between the Earth and the Sun in more than a century. Through that observation, astronomers could calculate the size of the solar system—but only if they could compile data from many different points of the globe, all recorded during the short period of the transit. Overcoming incredible odds and political strife, astronomers from Britain, France, Russia, Germany, Sweden, and the American colonies set up observatories in the remotest corners of the world, only to be thwarted by unpredictable weather and warring armies. Fortunately, transits of Venus occur in pairs; eight years later, they would have another opportunity to succeed. Thanks to these scientists, neither our conception of the universe nor the nature of scientific research would ever be the same.




Cooking Cosmos: Unraveling The Mysteries Of The Universe


Book Description

Cooking Cosmos is an exciting book that traces the history of men's endeavor to understand the Universe, and answers the eternal questions: 'Who made this World?' 'Where did it come from?' 'How and why did it begin?' Thousands of years of continual interaction with nature has brought mankind to the present stage when we have some inkling about the working of nature. We now know that the Earth, our habitat, is only one of the planets orbiting the Sun. The Sun itself is a star among billions of stars in the Universe. We know that our solar system came into existence some 4.5 billion years ago and it is but only a tiny component of our galaxy, the Milky Way. Our Universe contains some 100 billion of galaxies. We know that the Universe itself came into existence with the Big Bang some 13.7 billion years ago and even now galaxies are receding from each other with ever increasing speed.This book takes you through the intellectual journey of mankind, unraveling the mysteries of the Cosmos. Starting from Aristotle's Earth-centered Universe, it will take you step by step to the Copernican Sun-centered Universe, to Hubble's expanding Universe, to the Big Bang, to the currently accepted accelerating Universe. In the process, the book explores the origin of space-time, black hole, black hole radiation, dark matter, dark energy, quantum gravity, string theory, all in terms comprehensible to general audiences.




A Question and Answer Guide to Astronomy


Book Description

Contains 250 questions and answers about astronomy, particular for the amateur astronomer.