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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.

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 rightangled triangles 35 vi solution of obliqueangled triangles 49 vii circumscribed and inscribed circles 63 viii area of a spherical triangle spherical excess 71 Spherical geometry and its applications 1st edition book description 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 Mathematics article geometry space prueba gratuita mathematics article free download as word doc doc docx, pdf file pdf, text file txt or read online for free article on geometry in our daily life

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, wel work on the sphere as euclid did in the plane looking at triangles many Math handbook of formulas, processes and tricks chapter 1 basic geometry an intersection of geometric shapes is the set of points they share in common l and m intersect at point e l and n intersect at point d m and n intersect in line m 6 , , , n , amp geometry points, lines amp planes collinear points are points that lie on the same line 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

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: 8 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

Lee un libro Spherical Geometry and Its Applications (Textbooks in Mathematics) de Marshall A. Whittlesey Ebooks, PDF, ePub

Geometry and its applications sciencedirect meyers geometry and its applications, second edition, combines traditional geometry with current ideas to present a modern approach that is grounded in realworld applicationsit balances the deductive approach with discovery learning, and introduces axiomatic, euclidean geometry, noneuclidean geometry, and transformational geometry What textbooks would you recommend for learning spherical sometimes modern textbooks skip the topic of spherical trigonometry, and one has to look for books or textbooks published fifty years ago or a century ago for example , the latest edition of the schaum series textbook about trigonometry doesnt m Spherical geometry exploring the world with math present day applications of these same properties include planning flights, cruises, and satellite orbits around the world ii the basics of spherical geometry a sphere is defined as a closed surface in 3d formed by a set of points an equal distance r from the centre of the sphere, o

Spherical geometry math430 department of mathematics spherical geometry math430 in these notes we summarize some results about the geometry of the sphere to complement 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 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 noneuclidan ideas the text serves as a course in spherical geometry for mathematic majors Table of contents university of south carolina mathematics ever since, so much so that deductive reasoning is the method of mathematical inquiry today in fact, this is often interpreted as meaning geometry is 2column proofs in other words geometry is a formal axiomatic structure typically the axioms of euclidean plane