Spherical Geometry And Its Applications

Author : Marshall Whittlesey
Publisher : CRC Press
Page : 348 pages
File Size : 51,9 Mb
Release : 2019-11-14
Category : Mathematics
ISBN : 9781000617542

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Spherical Geometry and Its Applications by Marshall Whittlesey Pdf

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 : Marshall A. Whittlesey
Publisher : CRC Press
Page : 262 pages
File Size : 41,8 Mb
Release : 2019-11-14
Category : Mathematics
ISBN : 9781000627527

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Spherical Geometry and Its Applications by Marshall A. Whittlesey Pdf

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 : Walter J. Meyer
Publisher : CRC Press
Page : 422 pages
File Size : 52,6 Mb
Release : 2022-06-19
Category : Mathematics
ISBN : 9780429582264

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Geometry and Its Applications by Walter J. Meyer Pdf

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

Author : Marshall A. Whittlesey
Publisher : Unknown
Page : 335 pages
File Size : 40,7 Mb
Release : 2020
Category : MATHEMATICS
ISBN : 042932880X

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Spherical Geometry and Its Applications by Marshall A. Whittlesey Pdf

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 : William J. M'Clelland,Thomas Preston
Publisher : Unknown
Page : 184 pages
File Size : 46,5 Mb
Release : 1886
Category : Geometry
ISBN : HARVARD:32044091916569

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A Treatise on Spherical Trigonometry by William J. M'Clelland,Thomas Preston Pdf

Author : Walter A. Meyer
Publisher : Elsevier
Page : 560 pages
File Size : 51,9 Mb
Release : 2006-02-21
Category : Mathematics
ISBN : 9780080478036

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Geometry and Its Applications by Walter A. Meyer Pdf

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

Author : Horatio Nelson Robinson
Publisher : Unknown
Page : 264 pages
File Size : 44,7 Mb
Release : 2008-06-01
Category : Electronic
ISBN : 1436832632

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Elements of Geometry, Plane and Spherical by Horatio Nelson Robinson Pdf

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.

Author : Albert Ensign Church
Publisher : Unknown
Page : 70 pages
File Size : 55,7 Mb
Release : 1864
Category : Geometry, Descriptive
ISBN : UCSC:32106013584492

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Elements of Descriptive Geometry by Albert Ensign Church Pdf

Author : William J. McClelland,Thomas Preston
Publisher : Unknown
Page : 160 pages
File Size : 53,5 Mb
Release : 2008-06-01
Category : Electronic
ISBN : 1436553504

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A Treatise on Spherical Trigonometry, Part by William J. McClelland,Thomas Preston Pdf

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.

Author : Albert Ensign Church
Publisher : Unknown
Page : 212 pages
File Size : 44,6 Mb
Release : 1864
Category : Geometry, Descriptive
ISBN : NYPL:33433024468286

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Elements of Descriptive Geometry by Albert Ensign Church Pdf

Author : Thomas E. Cecil
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 55,6 Mb
Release : 2007-11-26
Category : Mathematics
ISBN : 9780387746555

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Lie Sphere Geometry by Thomas E. Cecil Pdf

Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry.

Author : William J. M'Clelland,Thomas Preston
Publisher : Unknown
Page : 400 pages
File Size : 52,6 Mb
Release : 1887
Category : Spherical trigonometry
ISBN : IOWA:31858049913563

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A Treatise on Spherical Trigonometry, with Applications to Spherical Geometry & Numerous Examples by William J. M'Clelland,Thomas Preston Pdf

Author : Church Albert E. (Albert Ensign)
Publisher : Wentworth Press
Page : 202 pages
File Size : 53,9 Mb
Release : 2019-02-28
Category : History
ISBN : 0526296143

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Elements of Descriptive Geometry with Its Applications to Spherical Projections, Shades and Shadows, by Church Albert E. (Albert Ensign) Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Georg Glaeser
Publisher : Springer Nature
Page : 694 pages
File Size : 43,9 Mb
Release : 2020-12-18
Category : Mathematics
ISBN : 9783030613983

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Geometry and its Applications in Arts, Nature and Technology by Georg Glaeser Pdf

This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

Author : Albert Ensign Church
Publisher : Wentworth Press
Page : 202 pages
File Size : 45,6 Mb
Release : 2019-02-25
Category : History
ISBN : 0469643374

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Elements of Descriptive Geometry: With Its Applications to Spherical Projections, Shades and Shadows by Albert Ensign Church Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.