Exploring Continued Fractions: From the Integers to Solar Eclipses

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470461285
Total Pages : 480 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Exploring Continued Fractions: From the Integers to Solar Eclipses by : Andrew J. Simoson

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.

Exploring Eclipses

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Author :
Publisher : Capstone
ISBN 13 : 149665644X
Total Pages : 44 pages
Book Rating : 4.4/5 (966 download)

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Book Synopsis Exploring Eclipses by : Jill Sherman

Download or read book Exploring Eclipses written by Jill Sherman and published by Capstone. This book was released on 2019-05-01 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the amazing science behind eclipses.

Solar Science

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Publisher :
ISBN 13 : 9781941316078
Total Pages : pages
Book Rating : 4.3/5 (16 download)

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Book Synopsis Solar Science by : Dennis Schatz

Download or read book Solar Science written by Dennis Schatz and published by . This book was released on 2015-12-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Solar Science offers more than three dozen hands-on, inquiry-based activities on many fascinating aspects of solar astronomy. The activities cover the Sun's motions, the space weather it causes, the measures of time and seasons in our daily lives, and much more."--

Exploring the Solar System

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119384893
Total Pages : 552 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Exploring the Solar System by : Peter Bond

Download or read book Exploring the Solar System written by Peter Bond and published by John Wiley & Sons. This book was released on 2020-03-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Exciting and Authoritative Account of the Second Golden Age of Solar System Exploration Award-winning author Peter Bond provides an up-to-date, in-depth account of the sun and its family in the 2nd edition of Exploring the Solar System. This new edition brings together the discoveries and advances in scientific understanding made during the last 60 years of solar and planetary exploration, using research conducted by the world's leading geoscientists, astronomers, and physicists. Exploring the Solar System, 2nd Edition is an ideal introduction for non-science undergraduates and anyone interested in learning about our small corner of the Milky Way galaxy.

Exploring the Trans-Neptunian Solar System

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Author :
Publisher : National Academies Press
ISBN 13 : 0309060419
Total Pages : 65 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Exploring the Trans-Neptunian Solar System by : National Research Council

Download or read book Exploring the Trans-Neptunian Solar System written by National Research Council and published by National Academies Press. This book was released on 1998-05-29 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade, our knowledge of the outer solar system has been transformed as a result of the Voyager 2 encounter with Neptune and its satellite Triton and from Earth-based observations of the Pluto-Charon system. However, the planetary system does not simply end at the distance of Pluto and Neptune. In the past few years, dozens of bodies have been discovered in near-circular, low inclination orbits near or beyond the orbit of Neptune. These bodies are now believed to be directly related to each other and to Pluto, Charon, and Triton, and as a class they define and occupy the inner boundary of a hitherto unexplored component of the solar system, the trans-neptunian region. Exploring the Trans-Neptunian Solar System reviews current understanding of the trans-neptunian solar system and makes recommendations for the future exploration of this distant realm.

Exploring the Ocean Worlds of Our Solar System

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Author :
Publisher : Springer
ISBN 13 : 3319934767
Total Pages : 303 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Exploring the Ocean Worlds of Our Solar System by : Bernard Henin

Download or read book Exploring the Ocean Worlds of Our Solar System written by Bernard Henin and published by Springer. This book was released on 2018-08-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 25 years, planetary science experienced a revolution, as vast oceans of liquid water have been discovered within the heart of the icy moons of our Solar System. These subsurface oceans lie hidden under thick layers of ice. We call them ocean worlds. Some of these icy moons, such as Ganymede, may hold two to three times more liquid water than all the water present on Earth, while others, such as Enceladus and Europa, are thought by astrobiologists to be our best hope of finding extraterrestrial life. In this book, we will explore and compare a variety of Solar System ocean worlds, meeting in the process 22 of the most intriguing objects, from the giant asteroid Ceres to the enigmatic, distant Sedna. In doing so, we will also encounter the multiple spacecraft that brought back most of what we know of these worlds (Pioneers, Voyagers, Cassini-Huygens, etc.), as well as the latest scientific research on this new topic. We will also entertain the possibility of life on each of these ocean worlds by assessing their habitability, as ultimately, these ocean worlds might hold the key to answering the fundamental questions in life: How did life appear? Where do we come from? Is there life out there? With the contributions of leading planetary scientists from NASA, ESA, and other institutions, this book aims to be the go-to reference for anyone wanting to know more about this fascinating topic.

Solar and Lunar Eclipses

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Author :
Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 1448881846
Total Pages : 34 pages
Book Rating : 4.4/5 (488 download)

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Book Synopsis Solar and Lunar Eclipses by : Ruth Owen

Download or read book Solar and Lunar Eclipses written by Ruth Owen and published by The Rosen Publishing Group, Inc. This book was released on 2012-08-15 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solar and lunar eclipses have both frightened and fascinated humans for thousands of years. Perhaps it’s because they are one of the few events in the universe that can be seen so dramatically from Earth. This exciting and informative book describes what happens during an eclipse and why. Readers will delight in the clear, easy-to-understand text and vibrant photographs.

The Story of Eclipses

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Author :
Publisher : Good Press
ISBN 13 :
Total Pages : 125 pages
Book Rating : 4.4/5 (57 download)

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Book Synopsis The Story of Eclipses by : George F. Chambers

Download or read book The Story of Eclipses written by George F. Chambers and published by Good Press. This book was released on 2019-11-22 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The Story of Eclipses' is a science book that attempts to explain the phenomena of eclipses to a general audience. Aside from explaining the scientific reasoning behind why it occurs in the first place (according to scientific standards that may fall short to today's explanation), it also provides some examples of how past solar eclipses have been recorded in history, and how it has also inspired artists and writers alike.

Eclipses

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0190902477
Total Pages : 209 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Eclipses by : Frank Close

Download or read book Eclipses written by Frank Close and published by Oxford University Press, USA. This book was released on 2019-09-03 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Have you ever seen a total solar eclipse?" If the question caused you to search your memory, the correct answer would have been "no." A common response is: "Yes--I saw one, it was about 90% partial eclipse where I lived." A 90% partial eclipse is indeed a remarkable phenomenon, but true totality leaves all else in the shade, in all senses of the phrase. Ask the question of anyone who has experienced the full sensation of being obliterated by the moon's shadow, and they will reply "yes"--without hesitation--and continue with a monologue describing the overwhelming experiences and unique phenomena that ensued. On 21 August 2017 millions of people across the United States witnessed "The Great American Eclipse" of the Sun. The moment it was over, people around the world were asking questions: what caused the weird shadows and colors in the build up to totality? Were those ephemeral bands of shadows gliding across the ground in the seconds before totality real or an optical illusion? Why this, what that, but above all: where and when can I see a total solar eclipse again? Eclipses: What Everyone Needs to Know helps explain the profound differences between a 99.99% partial eclipse and true totality, and inform readers how to experience this most beautiful natural phenomenon successfully. It covers eclipses of sun, moon, and other astronomical objects, and their applications in science, as well as their role in history, literature, and myth. It describes the phenomena to expect at a solar eclipse and the best ways to record them--by camera, video, or by simple handmade experiments. The book covers the timetable of upcoming eclipses, where the best locations will be to see them, and the opportunities for using them as vehicles for inspiration and education. As a veteran of seven total solar eclipses, physicist Frank Close is an expert both on the theory and practice of eclipses. Eclipses: What Everyone Needs to Know is a popular source of information on the physics of eclipses.

Sun Moon Earth

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Author :
Publisher : Basic Books
ISBN 13 : 0465096468
Total Pages : 264 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Sun Moon Earth by : Tyler Nordgren

Download or read book Sun Moon Earth written by Tyler Nordgren and published by Basic Books. This book was released on 2016-09-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: With beautiful illustrations and a detailed map, Sun Moon Earth has everything you need to get ready for the next solar eclipse. On April 8, 2024, millions of Americans will experience an awe-inspiring phenomenon: a total eclipse of the sun. In Sun Moon Earth, astronomer Tyler Nordgren illustrates how this most seemingly unnatural of natural phenomena was transformed from a fearsome omen to a tourist attraction. From the astrologers of ancient China and Babylon to the high priests of the Maya, Sun Moon Earth takes us around the world to show how different cultures interpreted these dramatic events. Greek philosophers discovered eclipses' cause and used them to measure their world and the cosmos beyond. Victorian-era scientists mounted eclipse expeditions during the age of globe-spanning empires. And modern-day physicists continue to use eclipses to confirm Einstein's theory of relativity. Beautifully illustrated and lyrically written, Sun Moon Earth is the ideal guide for all eclipse watchers and star gazers alike.

Atlas of Solar Eclipses

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Publisher :
ISBN 13 : 9781734549201
Total Pages : pages
Book Rating : 4.5/5 (492 download)

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Book Synopsis Atlas of Solar Eclipses by : Michael Zeiler

Download or read book Atlas of Solar Eclipses written by Michael Zeiler and published by . This book was released on 2020-02-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Atlas of Solar Eclipses - 2020 to 2045 is an adventure guide for eclipse chasers traveling the world in search of nature's most stupendous sight, a total eclipse of the Sun. The atlas covers every type of solar eclipse around the world - total, annular, and partial - with overview, regional, and detail maps. Emphasis is given to total solar eclipses in heavily populated areas, such as the 2024 April 8 eclipse across North America, the 2027 August 2 eclipse over Europe, Africa, and the Middle East, and the 2045 August 12 eclipse crossing North and South America. The maps are designed to give the reader important information for choosing optimal locations for viewing total and annular solar eclipses, along with explanations of the types of solar eclipses and the phenomena an eclipse viewer will see. Accompanying text gives details of circumstances such as the time of day, sky altitude of eclipse, special situations, viewing advice, and points of interest along the path of each eclipse. The atlas is richly illustrated and developed in an easy-to-understand style and includes summary world maps of every solar eclipse from 1901 to 2100.

Exploring The Solar System

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Author :
Publisher : Carson-Dellosa Publishing
ISBN 13 : 1617411779
Total Pages : 48 pages
Book Rating : 4.6/5 (174 download)

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Book Synopsis Exploring The Solar System by : Amanda Doering Tourville

Download or read book Exploring The Solar System written by Amanda Doering Tourville and published by Carson-Dellosa Publishing. This book was released on 2010-08-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn About How Physics, Math, And Science Work Together To Help Us Understand Our Solar System And Beyond.

Eclipses

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Author :
Publisher : Heinemann-Raintree Library
ISBN 13 : 1432975153
Total Pages : 34 pages
Book Rating : 4.4/5 (329 download)

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Book Synopsis Eclipses by : Nick Hunter

Download or read book Eclipses written by Nick Hunter and published by Heinemann-Raintree Library. This book was released on 2013 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a solar eclipse and a lunar eclipse and explains how people safely view a solar eclipse.

Exploring Auroras

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Publisher : Capstone
ISBN 13 : 1496656423
Total Pages : 51 pages
Book Rating : 4.4/5 (966 download)

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Book Synopsis Exploring Auroras by : Karen Latchana Kenney

Download or read book Exploring Auroras written by Karen Latchana Kenney and published by Capstone. This book was released on 2019-05-01 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the amazing science behind auroras.

Exploring Constellations

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Publisher : Capstone
ISBN 13 : 1496656431
Total Pages : 42 pages
Book Rating : 4.4/5 (966 download)

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Book Synopsis Exploring Constellations by : Sara Lynn Latta

Download or read book Exploring Constellations written by Sara Lynn Latta and published by Capstone. This book was released on 2019-05-01 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore the amazing science behind constellations.

Eclipses

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Author :
Publisher : Britannica Educational Publishing
ISBN 13 : 1508106436
Total Pages : 32 pages
Book Rating : 4.5/5 (81 download)

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Book Synopsis Eclipses by : Corona Brezina

Download or read book Eclipses written by Corona Brezina and published by Britannica Educational Publishing. This book was released on 2018-12-15 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ancient civilizations, people believed that eclipses represented omens of disaster. Today, total solar eclipses are regarded as rare and wondrous spectacles. The Great American Eclipse of 2017 sparked nationwide enthusiasm, and another total solar eclipse will occur across a swath of the United States in 2024. This volume investigates the science and history of eclipses, explaining the astronomical phenomena in accessible terms. Readers will learn about the celestial circumstances that cause eclipses and what to expect during an eclipse. Features such as "Think About It" sidebars encourage readers to apply what they have learned to answer open-ended questions.

Eclipse

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Author :
Publisher :
ISBN 13 : 9780747273851
Total Pages : 368 pages
Book Rating : 4.2/5 (738 download)

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Book Synopsis Eclipse by : Duncan Steel

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.