Download or read book Exploring Continued Fractions From the Integers to Solar Eclipses written by Andrew J. Simoson and published by American Mathematical Soc.. This book was released on 2021-04-30 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about the sun to the moon's period about Earth. That ratio has 235/19 as one of its early continued fraction convergents, which explains the apparent periodicity. Exploring Continued Fractions explains this and other recurrent phenomena—astronomical transits and conjunctions, lifecycles of cicadas, eclipses—by way of continued fraction expansions. The deeper purpose is to find patterns, solve puzzles, and discover some appealing number theory. The reader will explore several algorithms for computing continued fractions, including some new to the literature. He or she will also explore the surprisingly large portion of number theory connected to continued fractions: Pythagorean triples, Diophantine equations, the Stern-Brocot tree, and a number of combinatorial sequences. The book features a pleasantly discursive style with excursions into music (The Well-Tempered Clavier), history (the Ishango bone and Plimpton 322), classics (the shape of More's Utopia) and whimsy (dropping a black hole on Earth's surface). Andy Simoson has won both the Chauvenet Prize and Pólya Award for expository writing from the MAA and his Voltaire's Riddle was a Choice magazine Outstanding Academic Title. This book is an enjoyable ramble through some beautiful mathematics. For most of the journey the only necessary prerequisites are a minimal familiarity with mathematical reasoning and a sense of fun.

Download or read book Norton s Literary Almanac for 1852 Containing Important Literary Information Accounts of American Libraries Literary Necrology for the Past Year Including Short Biographical Sketches Miscellaneous Notices Etc An Annual of Interesting Facts and a Statistical Companion written by and published by . This book was released on 1852 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fifty Year Canon of Solar Eclipses written by Fred Espenak and published by . This book was released on 1987 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Eclipse written by Duncan Steel and published by . This book was released on 1999 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the dawn of time, eclipses have been percieved as peculiarly portentous events. These once-in-a-lifetime happenings hold a powerful fascination for us all. Steel's book explains much about eclipses, their science and their significance to humankind.

Download or read book Ancient Astronomical Observations and the Study of the Moon s Motion 1691 1757 written by John M. Steele and published by Springer Science & Business Media. This book was released on 2012-02-17 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of a gradual acceleration in the moon’s mean motion by Edmond Halley in the last decade of the seventeenth century led to a revival of interest in reports of astronomical observations from antiquity. These observations provided the only means to study the moon’s ‘secular acceleration’, as this newly-discovered acceleration became known. This book contains the first detailed study of the use of ancient and medieval astronomical observations in order to investigate the moon’s secular acceleration from its discovery by Halley to the establishment of the magnitude of the acceleration by Richard Dunthorne, Tobias Mayer and Jérôme Lalande in the 1740s and 1750s. Making extensive use of previously unstudied manuscripts, this work shows how different astronomers used the same small body of preserved ancient observations in different ways in their work on the secular acceleration. In addition, this work looks at the wider context of the study of the moon’s secular acceleration, including its use in debates of biblical chronology, whether the heavens were made up of æther, and the use of astronomy in determining geographical longitude. It also discusses wider issues of the perceptions and knowledge of ancient and medieval astronomy in the early-modern period. This book will be of interest to historians of astronomy, astronomers and historians of the ancient world.

Download or read book In the Shadow of the Moon written by Anthony Aveni and published by Yale University Press. This book was released on 2017-04-25 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: From an award-winning author, astronomer, and anthropologist, an exploration of the scientific and cultural significance of the mesmerizing cosmic display. Since the first humans looked up and saw the sun swallowed by darkness, our species has been captivated by solar eclipses. Astronomer and anthropologist Anthony Aveni explains the history and culture surrounding solar eclipses, from prehistoric Stonehenge to Babylonian creation myths, to a confirmation of Einstein’s theory of general relativity, to a spectacle that left New York City in the moon’s shadow, to future eclipses that will capture human imaginations. In one accessible and engaging read, Aveni explains the science behind the phenomenon, tracks eclipses across the ancient world, and examines the roles of solar eclipses in modern times to reveal the profound effects these cosmic events have had on human history. Colored by his own experiences—Aveni has witnessed eight total solar eclipses in his lifetime—his account of astronomy’s most storied phenomenon will enthrall anyone who has looked up at the sky with wonder. “Aveni’s authoritative but accessible text is the clearest statement of the way our perception of eclipses has changed over the centuries.” —Stuart Clark, New Scientist “Authoritative and engaging.” —Marcelo Gleiser, NPR’s 13.7 “A recommended way to share the spirit of the occasion.” —Laurence A. Marschall, Natural History magazine “Everything you need to enjoy a solar eclipse—and even predict one, just like the Babylonians did! Aveni’s entertaining explorations show the very different impacts eclipses have had on past and present cultures.” —David DeVorkin, National Air and Space Museum, Smithsonian Institution

Download or read book Eclipse Bulletin written by Fred Espenak and published by . This book was released on 2015-05-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Monday, 2017 August 21, a total eclipse of the Sun will be visible from the contiguous United States for the first time since 1979. The track of the Moon's umbral shadow begins in the Pacific Ocean and crosses the nation from west to east through Oregon, Idaho, Wyoming, Nebraska, Kansas, Missouri, Illinois, Kentucky, Tennessee, Georgia, and North and South Carolina. Inside the 70-mile-wide path of totality, the Moon will completely cover the Sun as the landscape is plunged into an eerie twilight and the Sun's glorious corona is revealed for nearly 3 minutes. Outside the narrow shadow track, a partial eclipse will be visible from all of North America.Eclipse Bulletin: Total Solar Eclipse of 2017 August 21 is the ultimate guide to this highly anticipated event. Written by two of the leading experts on eclipses, the bulletin is a treasure trove of facts on every conceivable aspect of the eclipse. The exact details about the path of the Moon's shadow can be found in a series of tables containing geographic coordinates, times, altitudes, and physical dimensions. A number of high resolution maps plot the total eclipse track across the USA. They show hundreds of cities and towns in the path, the duration of totality with distance from the central line and the location of major roads and highways. Local circumstance tables for more than 1000 cities across the USA provide times for each phase of the eclipse along with the eclipse magnitude, duration and Sun's altitude. Additional tables cover the eclipse circumstances for cities in Canada, Mexico, Central and South America and Europe. An exhaustive climatological study identifies areas along the eclipse path where the highest probability of favorable weather may be found. A travelogue highlights key locations in the eclipse track from Oregon through South Carolina. Finally, comprehensive information is presented about solar filters and how to safely observe and photograph the eclipse.

Download or read book The American Almanac and Repository of Useful Knowledge for the Year written by and published by . This book was released on 1837 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Saturday Magazine written by and published by . This book was released on 1843 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book pt 1 General principles and tables written by Lewis Dominic Swamikannu Pillai and published by . This book was released on 1922 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Origines Kalendari Italic Nundinal Calendars of ancient Italy Nundinal Calendar of Romulus Calendar of Numa Pompilius Calendar of the Decemvirs Irregular Roman Calendar and Julian Correction Tables of the Roman Calendar from U C 4 of Varro B C 750 to U C 1108 A D 355 written by Edward Greswell and published by . This book was released on 1854 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Biographic Register written by United States. Department of State and published by . This book was released on 1960 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Biographic Register written by United States. Department of State and published by . This book was released on 1960 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Biographic Register of the Department of State written by United States. Department of State and published by . This book was released on 1960 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nuclear Science and Safety in Europe written by Tomas Cechák and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent results on the nature of low-, intermediate- and high-energy nuclear forces as well as on the internal structure of nucleons and atomic nuclei are presented. Prospects to find a new state of the nuclear matter at extreme conditions that existed in the early Universe and the utilisation of the nuclear energy are discussed.

Download or read book Observing the Sun with CoronadoTM Telescopes written by Philip Pugh and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this ground-breaking book, Philip Pugh has assembled a team of contributors who show just how much solar observation work can be accomplished with Coronado telescopes, and explain how to get the best from these marvelous instruments. The book shows that Solar prominences, filaments, flares, sunspots, plage and active regions are all visible and can be imaged to produce spectacular solar photographs.