Items related to Modern Geometry with Applications (Universitext)
Synopsis
This is a thorough analysis of the fundamentals of plane geometry - Euclidean, spherical and projective. The reader is provided with an abundance of geometrical facts such as classical results of plane Euclidean and non-Euclidean geometry investigation of conic sections, projective spaces, Galilean transformations, Lorentz transformations, and Minkowskii geometry. The author considers a range of interesting problems which one meets in real life - the number of images one sees in a pair of mirrors, how to detect the position of an enemy ship from two different listening posts and the distance between two cities knowing their latitude and longitude.
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From the Back Cover
This is an introduction to the theory and applications of modern geometry. It differs from other books in its field in its emphasis on applications and its discussion of Special Relativity as a major example of a non-Euclidean geometry. Besides Special Relativity, it covers two other important areas of non-Euclidean geometry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). In addition, it reviews many useful topics from Euclidean geometry, emphasizing transformations, and includes a chapter on conics and planetary orbits. Applications are stressed throughout the book. Every topic is motivated by an application and many additional applications are given in the exercises. The book would be an excellent introduction to higher geometry for those students, especially prospective mathematics teachers, who need to know how geometry is used in addition to its formal theory.
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