Spherical Geometry And Its Applications

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Spherical Geometry and Its Applications

Author : Marshall Whittlesey
Publisher : CRC Press
ISBN 13 : 1000617548
Total Pages : 348 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Spherical Geometry and Its Applications by : Marshall Whittlesey

Download or read book Spherical Geometry and Its Applications written by Marshall Whittlesey and published by CRC Press. This book was released on 2019-11-14 with total page 348 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

Spherical Geometry and Its Applications

Author : Marshall A. Whittlesey
Publisher :
ISBN 13 : 9780429328800
Total Pages : 335 pages
Book Rating : 4.3/5 (288 download)

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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 . This book was released on 2020 with total page 335 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

Geometry and Its Applications

Author : Walter J. Meyer
Publisher : CRC Press
ISBN 13 : 0429582269
Total Pages : 422 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Geometry and Its Applications by : Walter J. Meyer

Download or read book Geometry and Its Applications written by Walter J. Meyer and published by CRC Press. This book was released on 2022-06-19 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. The Third Edition streamlines the treatment from the previous two editions Treatment of axiomatic geometry has been expanded Nearly 300 applications from all fields are included An emphasis on computer science-related applications appeals to student interest Many new excercises keep the presentation fresh

Spherical Geometry and Its Applications

Author : Marshall A. Whittlesey
Publisher : CRC Press
ISBN 13 : 1000627527
Total Pages : 262 pages
Book Rating : 4.0/5 (6 download)

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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

Modern Geometry with Applications

Author : George A. Jennings
Publisher : Springer Science & Business Media
ISBN 13 : 1461208556
Total Pages : 193 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modern Geometry with Applications by : George A. Jennings

Download or read book Modern Geometry with Applications written by George A. Jennings and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.

Geometry and Its Applications

Author : Walter A. Meyer
Publisher : Elsevier
ISBN 13 : 0080478034
Total Pages : 560 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Geometry and Its Applications by : Walter A. Meyer

Download or read book Geometry and Its Applications written by Walter A. Meyer and published by Elsevier. This book was released on 2006-02-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. Realistic applications integrated throughout the text, including (but not limited to): Symmetries of artistic patterns Physics Robotics Computer vision Computer graphics Stability of architectural structures Molecular biology Medicine Pattern recognition Historical notes included in many chapters

Geometric Applications of Fourier Series and Spherical Harmonics

Author : H. Groemer
Publisher : Cambridge University Press
ISBN 13 : 0521473187
Total Pages : 343 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Geometric Applications of Fourier Series and Spherical Harmonics by : H. Groemer

Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer and published by Cambridge University Press. This book was released on 1996-09-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

A Simple Non-Euclidean Geometry and Its Physical Basis

Author : I.M. Yaglom
Publisher : Springer Science & Business Media
ISBN 13 : 146126135X
Total Pages : 326 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Simple Non-Euclidean Geometry and Its Physical Basis by : I.M. Yaglom

Download or read book A Simple Non-Euclidean Geometry and Its Physical Basis written by I.M. Yaglom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "non-uniqueness" of geometry; of the existence of many geometric systems.

Heavenly Mathematics

Author : Glen Van Brummelen
Publisher : Princeton University Press
ISBN 13 : 0691148929
Total Pages : 218 pages
Book Rating : 4.6/5 (911 download)

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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 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.

A Treatise on Spherical Trigonometry

Author : William J. M'Clelland
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A Treatise on Spherical Trigonometry by : William J. M'Clelland

Download or read book A Treatise on Spherical Trigonometry written by William J. M'Clelland and published by . This book was released on 1886 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples

Author : John Casey
Publisher : Read Books Ltd
ISBN 13 : 1447483480
Total Pages : 184 pages
Book Rating : 4.4/5 (474 download)

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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 Read Books Ltd. This book was released on 2013-01-03 with total page 184 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.

Projective Geometry

Author : Albrecht Beutelspacher
Publisher : Cambridge University Press
ISBN 13 : 9780521483643
Total Pages : 272 pages
Book Rating : 4.4/5 (836 download)

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Book Synopsis Projective Geometry by : Albrecht Beutelspacher

Download or read book Projective Geometry written by Albrecht Beutelspacher and published by Cambridge University Press. This book was released on 1998-01-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.

A Treatise on Spherical Trigonometry

Author : John Casey
Publisher :
ISBN 13 :
Total Pages : 199 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis A Treatise on Spherical Trigonometry by : John Casey

Download or read book A Treatise on Spherical Trigonometry written by John Casey and published by . This book was released on 1889 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Geometry, Plane and Spherical

Author : Horatio Nelson Robinson
Publisher :
ISBN 13 : 9781436832632
Total Pages : 264 pages
Book Rating : 4.8/5 (326 download)

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Book Synopsis Elements of Geometry, Plane and Spherical by : Horatio Nelson Robinson

Download or read book Elements of Geometry, Plane and Spherical written by Horatio Nelson Robinson and published by . This book was released on 2008-06-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

Geometry Civilized

Author : J. L. Heilbron
Publisher : Oxford University Press
ISBN 13 : 9780198506904
Total Pages : 344 pages
Book Rating : 4.5/5 (69 download)

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Book Synopsis Geometry Civilized by : J. L. Heilbron

Download or read book Geometry Civilized written by J. L. Heilbron and published by Oxford University Press. This book was released on 2000 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

Vectors and Their Applications

Author : Anthony J. Pettofrezzo
Publisher : Courier Corporation
ISBN 13 : 0486148890
Total Pages : 146 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vectors and Their Applications by : Anthony J. Pettofrezzo

Download or read book Vectors and Their Applications written by Anthony J. Pettofrezzo and published by Courier Corporation. This book was released on 2012-12-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors in the first two chapters. Among the text's outstanding features are numbered definitions and theorems in the development of vector algebra, which appear in italics for easy reference. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. Key concepts for generalized vector spaces are clearly presented and developed, and 57 worked-out illustrative examples aid students in mastering the concepts. A total of 258 exercise problems offer supplements to theories or provide the opportunity to reinforce the understanding of applications, and answers to odd-numbered exercises appear at the end of the book.

Experiencing Geometry

Author : David Wilson Henderson
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Experiencing Geometry by : David Wilson Henderson

Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.