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Spherical Geometry and Its Applications

2019-11-14 Mathematics
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Release : 2019-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 548/5 ( reviews)

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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. This book was released on 2019-11-14. 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

2019-11-14 Mathematics
Download Spherical Geometry and Its Applications PDF Online Free

Author :
Release : 2019-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 527/5 ( reviews)

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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. This book was released on 2019-11-14. 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

2006-02-21 Mathematics
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Release : 2006-02-21
Genre : Mathematics
Kind : eBook
Book Rating : 034/5 ( reviews)

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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. This book was released on 2006-02-21. 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

Geometry and Its Applications

2022-06-19 Mathematics
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Release : 2022-06-19
Genre : Mathematics
Kind : eBook
Book Rating : 164/5 ( reviews)

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Book Synopsis Geometry and Its Applications by : Walter Meyer

Download or read book Geometry and Its Applications written by Walter Meyer. This book was released on 2022-06-19. 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

Modern Geometry with Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 556/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

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