Download or read book SPHERICAL TRIGONOMETRY A Comprehensive Approach written by Ira Fajardo and published by . This book was released on 2019-11-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book Spherical Trigonometry is the first and only book with comprehensive and accurate illustration of diagrams of spherical triangles according to given and computed angles that is not found in any similar books in circulation. Part 1, 2, and 3 consist of Definitions.Computations on spherical triangle areas, right, polar, quadrantal, oblique, and spherical triangles. Use of Napier's Rules, Laws of Sines and Cosines, The Six Cases, Delambre's and Gauss' Formulas. Part 4 consists of its application to sea and air navigation, statute and nautical mile, geographical coordinates of cities, computation of distances between cities of countries, time difference between countries, bearing, heading, and course.
Download or read book Spherical Trigonometry written by J. D. Donnay and published by Read Books Ltd. This book was released on 2013-04-16 with total page 92 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. Pomona Press are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2013 with total page 218 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. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegent proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries. -- Jacket.
Download or read book Spherical trigonometry written by I. Todhunter and published by BoD – Books on Demand. This book was released on 2022-07-30 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1871.
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
Download or read book Geometry A Comprehensive Course written by Dan Pedoe and published by Courier Corporation. This book was released on 2013-04-02 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
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 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Essentials of Plane and Spherical Trigonometry written by Webster Wells and published by . This book was released on 1887 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spherical Trigonometry written by Isaac Todhunter and published by . This book was released on 1863 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Plane and Spherical Trigonometry written by George Albert Wentworth and published by . This book was released on 1887 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Divine Proportions written by Norman John Wildberger and published by . This book was released on 2005 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.
Download or read book Plane and Spherical Trigonometry written by Claude Irwin Palmer and published by . This book was released on 1925 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Celestial Calculations written by J. L. Lawrence and published by MIT Press. This book was released on 2019-05-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to predict and calculate the positions of stars, planets, the sun, the moon, and satellites using a personal computer and high school mathematics. Our knowledge of the universe is expanding rapidly, as space probes launched decades ago begin to send information back to earth. There has never been a better time to learn about how planets, stars, and satellites move through the heavens. This book is for amateur astronomers who want to move beyond pictures of constellations in star guides and solve the mysteries of a starry night. It is a book for readers who have wondered, for example, where Saturn will appear in the night sky, when the sun will rise and set, or how long the space station will be over their location. In Celestial Calculations, J. L. Lawrence shows readers how to find the answers to these and other astronomy questions with only a personal computer and high school math. Using an easy-to-follow step-by-step approach, Lawrence explains what calculations are required, why they are needed, and how they all fit together. Lawrence begins with basic principles: unit of measure conversions, time conversions, and coordinate systems. He combines these concepts into a computer program that can calculate the location of a star, and uses the same methods for predicting the locations of the sun, moon, and planets. He then shows how to use these methods for locating the many satellites we have sent into orbit. Finally, he describes a variety of resources and tools available to the amateur astronomer, including star charts and astronomical tables. Diagrams illustrate the major concepts, and computer programs that implement the algorithms are included. Photographs of actual celestial objects accompany the text, and interesting astronomical facts are interspersed throughout. Source code (in Python 3, JAVA, and Visual Basic) and executables for all the programs and examples presented in the book are available for download at https://CelestialCalculations.github.io.
Download or read book Introductory Mathematics for Earth Scientists written by Xin-She Yang and published by Dunedin Academic Press. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any quantitative work in earth sciences requires mathematical analysis. Many mathematical methods are essential to the modeling and analysis of the geological, geophysical, and environmental processes widely studied in earth sciences. This book provides an introduction to the fundamental mathematics that all earth scientists need. Assuming nor more than a standard secondary school level as its starting point, the book is self-contained and provides an essential toolkit of basic mathematics for earth scientists. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Introductory Mathematics for Earth Scientists strikes a fine balance between coverage and detail. Topics have been selected to provide a concise but comprehensive introductory coverage of all the major and popular mathematical methods. The book offers a 'theorem-free' approach with an emphasis on practicality. With dozens of step-by-step worked examples, the book is especially suitable for non-mathematicians and geoscientists. The topics include binomial theorem, index notations, polynomials, sequences and series, trigonometry, spherical trigonometry, complex numbers, vectors and matrices, ordinary differential equations, partial differential equations, Fourier transforms, numerical methods, and geostatistics. Introductory Mathematics for Earth Scientists introduces a wide range of fundamental and widely-used, mathematical methods. This book is ideal for both undergraduate students and postgraduate students. Additionally, it is a helpful reference for more advanced scientists.
Download or read book Spherical Trigonometry for Colleges and Secondary Schools written by Daniel Alexander Murray and published by . This book was released on 1900 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
