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Notes On Spherical Trigonometry And Spherical Astronomy
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Book Synopsis Textbook on Spherical Astronomy by : W. M. Smart
Download or read book Textbook on Spherical Astronomy written by W. M. Smart and published by Cambridge University Press. This book was released on 1977-07-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new revision of a standard work gives a general but comprehensive introduction to positional astronomy. Useful for researchers as well as undergraduates.
Book Synopsis Heavenly Mathematics by : Glen Van Brummelen
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2017-04-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.
Book Synopsis A Treatise on Spherical Astronomy by : Robert Stawell Ball
Download or read book A Treatise on Spherical Astronomy written by Robert Stawell Ball and published by . This book was released on 1908 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hellenistic Astronomy by : Alan C. Bowen
Download or read book Hellenistic Astronomy written by Alan C. Bowen and published by BRILL. This book was released on 2020-02-17 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Hellenistic Astronomy: The Science in Its Contexts, renowned scholars address questions about what the ancient science of the heavens was and the numerous contexts in which it was pursued.
Book Synopsis The Elements of Spherical Trigonometry by : James Hann
Download or read book The Elements of Spherical Trigonometry written by James Hann and published by . This book was released on 1849 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Euclid's Phaenomena by : J. L. Berggren
Download or read book Euclid's Phaenomena written by J. L. Berggren and published by Routledge. This book was released on 2019-05-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.
Book Synopsis Spherical Trigonometry by : J. D. Donnay
Download or read book Spherical Trigonometry written by J. D. Donnay and published by Read Books Ltd. This book was released on 2011-03-23 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis Notes on Spherical Trigonometry and Spherical Astronomy by : Harry Yandell Benedict
Download or read book Notes on Spherical Trigonometry and Spherical Astronomy written by Harry Yandell Benedict and published by . This book was released on 1902 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen
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.
Book Synopsis Spherical Geometry and Its Applications by : Marshall A. Whittlesey
Download or read book Spherical Geometry and Its Applications written by Marshall A. Whittlesey and published by CRC Press. This book was released on 2019-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
Book Synopsis Vorlesungen Über Geschichte Der Trigonometrie by : Anton Braunmühl
Download or read book Vorlesungen Über Geschichte Der Trigonometrie written by Anton Braunmühl and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Trigonometry Refresher by : A. Albert Klaf
Download or read book Trigonometry Refresher written by A. Albert Klaf and published by Courier Corporation. This book was released on 2011-11-30 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.
Book Synopsis Astro Navigation Demystified by : Jack Case
Download or read book Astro Navigation Demystified written by Jack Case and published by . This book was released on 2011-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in plain language, 'Astro Navigation Demystified' aims to make the art of astro navigation easy and enjoyable to learn.
Book Synopsis A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples by : John Casey
Download or read book A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples written by John Casey and published by Hervey Press. This book was released on 2011-04 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This early work on spherical trigonometry is both expensive and hard to find in its first edition. It contains a comprehensive account of the subject and includes numerous examples and exercises. This is a fascinating work and highly recommended for anyone interested in learning spherical trigonometry. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis A Practical Guide to Observational Astronomy by : M. Shane Burns
Download or read book A Practical Guide to Observational Astronomy written by M. Shane Burns and published by CRC Press. This book was released on 2021-09-16 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Practical Guide to Observational Astronomy provides a practical and accessible introduction to the ideas and concepts that are essential to making and analyzing astronomical observations. A key emphasis of the book is on how modern astronomy would be impossible without the extensive use of computers, both for the control of astronomical instruments and the subsequent data analysis. Astronomers now need to use software to access and assess the data they produce, so understanding how to use computers to control equipment and analyze data is as crucial to modern astronomers as a telescope. Therefore, this book contains an array of practical problems for readers to test their knowledge, in addition to a wealth of examples and tutorials using Python on the author’s website, where readers can download and create image processing scripts. This is an excellent study guide or textbook for an observational astronomy course for advanced undergraduate and graduate astronomy and physics students familiar with writing and running simple Python scripts. Key Features Contains the latest developments and technologies from astronomical observatories and telescope facilities on the ground and in space Accompanied by a companion website with examples, tutorials, Python scripts, and resources Authored by an observational astronomer with over thirty years of observing and teaching experience About the Author M. Shane Burns earned his BA in physics at UC San Diego in 1979. He began graduate work at UC Berkeley in 1979, where he worked on an automated search for nearby supernovae. After being awarded a PhD in 1985, Professor Burns became a postdoctoral researcher at the University of Wyoming. He spent the summer of 1988 as a visiting scientist at Lawrence Berkeley National Lab, where he helped found the Supernova Cosmology Project (SCP). He continued to work as a member of the SCP group while a faculty member at Harvey Mudd College, the US Air Force Academy, and Colorado College. The 2011 Nobel Prize in Physics was awarded to the leader of the SCP for the group’s "discovery of the accelerating expansion of the Universe through observations of distant supernovae." During his career, Professor Burns has observed using essentially all of the world’s great observatories, including the Keck Observatory and the Hubble Space Telescope.
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.
Book Synopsis Studies in Indian Mathematics and Astronomy by : Aditya Kolachana
Download or read book Studies in Indian Mathematics and Astronomy written by Aditya Kolachana and published by Springer. This book was released on 2019-05-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.