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Spherical Geometry and Its Applications (Textbooks in Mathematics) de Marshall A. Whittlesey
Descripción - Reseña del editor 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 Biografía del autor Marshall A. Whittlesey is an Associate Professor of Mathematics at California State University San Marcos. He received a BS (1992) from Trinity College in Connecticut, and a PhD from Brown University (1997) under the direction of John Wermer. He was a Visiting Assistant Professor at Texas A&M University was SE Warchawski Assistant Professor at University of California San Diego (1999-2001). He has a series of research publications in functions of several complex variables.
Detalles del Libro
- Name: Spherical Geometry and Its Applications (Textbooks in Mathematics)
- Autor: Marshall A. Whittlesey
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 11 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
Gratis Spherical Geometry and Its Applications (Textbooks in Mathematics) de Marshall A. Whittlesey PDF [ePub Mobi] Gratis
Spherical Geometry and Its Applications, Textbooks in ~ Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The book introduces an axiomatic system of non-Euclidan ideas. The text serves as a course in spherical geometry for mathematic majors.
Spherical Geometry and Its Applications (Textbooks in ~ 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.
Spherical Geometry - UEF ~ The aim of this course is to show different aspects of spherical geometry for itself, in relation to applications and in relation to other geometries and other parts of mathematics. The chapters will be (mostly) independant from each other. To begin, we’l work on the sphere as Euclid did in the plane looking at triangles. Many
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The Project Gutenberg eBook of Spherical Trigonometry, ~ II Spherical Triangles. 7 III Spherical Geometry. 11 IV Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle. 17 V Solution of Right-angled Triangles. 35 VI Solution of Oblique-Angled Triangles. 49 VII Circumscribed and Inscribed Circles. 63 VIII Area of a Spherical Triangle. Spherical Excess. 71
Spherical Geometry MATH430 - Department of Mathematics ~ Spherical Geometry MATH430 In these notes we summarize some results about the geometry of the sphere to com-plement the textbook. Most notions we had on the plane (points, lines, angles, triangles etc.) make sense in spherical geometry, but one has to be careful about de ning them.
Geometry and Its Applications / ScienceDirect ~ 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.
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Textbook for undergraduate course in geometry - MathOverflow ~ Such a course would give your students better understanding of the geometric nature of linear algebra (personally I think that the material one learns in a linear algebra course should be called "linear geometry"), it would show how modern mathematics simplifies classic material such as euclidean geometry and it would provide strong geometric basis for courses like algebraic geometry and .
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reference request - Geometry textbooks for university ~ (Please note that none of the above-mentioned textbooks was read from cover to cover). As you can see, I didn't learn much geometry during my past 4 years of undergraduate mathematics. In high school, I learnt a good amount of Euclidean geometry but after coming to university geometry appears very mystical to me.
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Spherical Geometry - Pennsylvania State University ~ David Little: Mathematics Department Penn State University Eberly College of Science University Park, PA 16802: Office: 403 McAllister Phone: (814) 865-3329
Introduction to Spherical Geometry - IMSA ~ Introduction to Spherical Geometry Student will learn about lines and angles and how to measure them in spherical geometry. We will start to compare the spherical and plane geometries. The rst new geometry we will look at is not actually new at all. We will look at the geometry of the sphere.
Modern Geometry with Applications / George A. Jennings ~ This book is an introduction to the theory and applications of "modern geometry" ~ roughly speaking, geometry that was developed after Euclid. It covers three major areas of non-Euclidean geometry and their applica tions: spherical geometry (used in navigation and astronomy), projective geometry (used in art), and spacetime geometry (used in the Special The ory of Relativity).
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College Geometry: A Unified Development (Textbooks in ~ Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications.
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