Plane and Spherical Trigonometry PDF Download
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Author: George Albert Wentworth
Publisher:
ISBN:
Category :
Languages : en
Pages : 370
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Book Description
Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 0691148929
Category : Mathematics
Languages : en
Pages : 218
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Book Description
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.
Author: A. Albert Klaf
Publisher: Courier Corporation
ISBN: 0486151042
Category : Mathematics
Languages : en
Pages : 640
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Book Description
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.
Author: Ira Fajardo
Publisher:
ISBN: 9781711990866
Category :
Languages : en
Pages : 148
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Book Description
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.
Author: James Atkins Bullard
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 252
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Book Description
Author: Frank Ayres
Publisher:
ISBN: 9780071160131
Category : Trigonometry
Languages : en
Pages : 215
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Book Description
This edition reflects the changes in the trigonometry curriculum that have taken place between 1993 and 1998. Following the rise of the scientific calculator, this revision updates the book by keeping calculator usage in place of outdated material on logarithms, discarding irrelevant material.
Author: W. M. Smart
Publisher: Cambridge University Press
ISBN: 9780521291804
Category : Science
Languages : en
Pages : 452
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Book Description
This new revision of a standard work gives a general but comprehensive introduction to positional astronomy. Useful for researchers as well as undergraduates.
Author: Marshall A. Whittlesey
Publisher: CRC Press
ISBN: 1000627527
Category : Mathematics
Languages : en
Pages : 262
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Book Description
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
Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 1400833310
Category : Mathematics
Languages : en
Pages : 352
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Book Description
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.
Author: Euclid
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0
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Book Description
Author: Claude Irwin Palmer
Publisher:
ISBN:
Category : Logarithms
Languages : en
Pages : 388
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Book Description
