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 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.

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.

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.

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.

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 A Treatise on Plane and Spherical Trigonometry written by John Bonnycastle and published by . This book was released on 1806 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Schaum s Outline of Theory and Problems of Plane and Spherical Trigonometry written by Frank Ayres (Jr.) and published by . This book was released on 1954 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 A Treatise on Plane and Spherical Trigonometry written by William Chauvenet and published by . This book was released on 1901 with total page 278 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 Treatise on Plane and Spherical Trigonometry written by William Chauvenet and published by . This book was released on 1875 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Textbook Of Spherical Trigonometry And Spherical Astronomy written by S.K.D Dubey & Others and published by . This book was released on 2010-09-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elements of Plane and Spherical Trigonometry written by Olinthus Gregory and published by . This book was released on 1816 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Spherical Trigonometry for the Us of Colleges and Schools written by Isaac Todhunter and published by . This book was released on 1859 with total page 150 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 Foundations of Hyperbolic Manifolds written by John Ratcliffe and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.