Spherical Geometry And Its Applications
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Spherical Geometry And Its Applications
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Author : Marshall Whittlesey
language : en
Publisher: CRC Press
Release Date : 2019-11-14
Spherical Geometry And Its Applications written by Marshall Whittlesey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.
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
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Author : Marshall A. Whittlesey
language : en
Publisher:
Release Date : 2020
Spherical Geometry And Its Applications written by Marshall A. Whittlesey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with MATHEMATICS categories.
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
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Author : Walter J. Meyer
language : en
Publisher: CRC Press
Release Date : 2022-06-19
Geometry And Its Applications written by Walter J. Meyer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-19 with Mathematics categories.
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
Geometry And Its Applications
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Author : Walter A. Meyer
language : en
Publisher: Elsevier
Release Date : 2006-02-21
Geometry And Its Applications written by Walter A. Meyer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-21 with Mathematics categories.
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
Spherical Geometry And Its Applications
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Author : Marshall A. Whittlesey
language : en
Publisher: CRC Press
Release Date : 2019-11-14
Spherical Geometry And Its Applications written by Marshall A. Whittlesey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.
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
Lie Sphere Geometry
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Author : Thomas E. Cecil
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-29
Lie Sphere Geometry written by Thomas E. Cecil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-29 with Mathematics categories.
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.
Elements Of Descriptive Geometry
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Author : Albert Ensign Church
language : en
Publisher:
Release Date : 1864
Elements Of Descriptive Geometry written by Albert Ensign Church and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1864 with Geometry, Descriptive categories.
Elements Of Descriptive Geometry
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Author : Albert Ensign Church
language : en
Publisher:
Release Date : 1864
Elements Of Descriptive Geometry written by Albert Ensign Church and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1864 with Geometry, Descriptive categories.
Elements Of Descriptive Geometry With Its Applications To Spherical Projections Shades And Shadows
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Author : Church Albert E. (Albert Ensign)
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
Elements Of Descriptive Geometry With Its Applications To Spherical Projections Shades And Shadows written by Church Albert E. (Albert Ensign) and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with History categories.
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 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. 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.
A Treatise On Spherical Trigonometry
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Author : William J. M'Clelland
language : en
Publisher:
Release Date : 1886
A Treatise On Spherical Trigonometry written by William J. M'Clelland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Geometry categories.
