Spherical Geometry And Its Applications
by Marshall A. Whittlesey /
2019 / English / PDF
7.5 MB Download
Spherical Geometry and Its Applicationsintroduces 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. At the same time, the author wrote this book so that readers from various academic backgrounds can easily comprehend spherical geometry. The book uses the axiomatic method and shows how the subject can be approached with quaternions. The author reveals how the axiom system for plane geometry can be modified in certain ways to produce a completely different geometric world - but a geometric world that is no less real that the geometric world of the plane. Features: A well-rounded introduction to spherical geometry and its practical applications in a mathematically rigorous form The book uses the axiomatic method, but also shows how the subject can be approached with quaternions Provides several proofs of some theorems which are appealing to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the heavens, the study of 3-dimensional polyhedra, mapping of the sphere, and crystallography Brings all these ideas under one title in a way that has not been done before About the author: Marshall A. Whittleseyis an associate professor of mathematics at California State University San Marcos, where he has worked since 2001. He received a BS (1992) in mathematics from Trinity College in Connecticut, and a PhD in mathematics from Brown University (1997) under the direction of John Wermer. He was a visiting assistant professor at Texas A&M University (1997-99) and was SE Warchawski Assistant Professor at University of California San Diego (1999-2001) before coming to Cal State San Marcos. He has a series of research publications in functions of several complex variables. cations in a mathematically rigorous form The book uses the axiomatic method, but also shows how the subject can be approached with quaternions Provides several proofs of some theorems which are appealing to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the heavens, the study of 3-dimensional polyhedra, mapping of the sphere, and crystallography Brings all these ideas under one title in a way that has not been done before About the author: Marshall A. Whittleseyis an associate professor of mathematics at California State University San Marcos, where he has worked since 2001. He received a BS (1992) in mathematics from Trinity College in Connecticut, and a PhD in mathematics from Brown University (1997) under the direction of John Wermer. He was a visiting assistant professor at Texas A&M University (1997-99) and was SE Warchawski Assistant Professor at University of California San Diego (1999-2001) before coming to Cal State San Marcos. He has a series of research publications in functions of several complex variables. n mathematics from Trinity College in Connecticut, and a PhD in mathematics from Brown University (1997) under the direction of John Wermer. He was a visiting assistant professor at Texas A&M University (1997-99) and was SE Warchawski Assistant Professor at University of California San Diego (1999-2001) before coming to Cal State San Marcos. He has a series of research publications in functions of several complex variables.
