SPHERICAL TRIGONOMETRY A Comprehensive Approach PDF Download
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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: 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: 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: J. H. Clough-Smith
Publisher: Hyperion Books
ISBN: 9780851743202
Category : Navigation
Languages : en
Pages : 0
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Book Description
The contents of this book are based on experience gained whilst teaching the subject in the Department of Maritime Studies in the University of Wales Institute of Science and Technology. It is my hope, therefore, that this book will commend itself to teachers of navigational subjects at all levels and particularly to students.
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: 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: Alan C. Bowen
Publisher: BRILL
ISBN: 9004400567
Category : History
Languages : en
Pages : 783
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Book Description
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.
Author: Glen Van Brummelen
Publisher:
ISBN: 0198814313
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Rooted in ancient astronomy, trigonometry is mathematics' powerful toolkit for scientific measurement. It has been at the heart of the study of infinity, complex and imaginary numbers, and the shape of the space itself. Our experience of the universe has been made possible, and deeply challenged, by this surprisingly deep and fruitful subject.
Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 0691179417
Category : Mathematics
Languages : en
Pages : 390
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Book Description
An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.
Author: Norman John Wildberger
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 330
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Book Description
"... 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.
