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Other titles in the Springer Undergraduate Mathematics series:
Geometry (Springer Undergraduate Mathematics Series,)by Roger Fenn
Synopses & Reviews
Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:- Coordinates- Euclidean plane geometry- Complex numbers- Solid geometry- Conics and quadratic surfaces- Spherical geometry- QuaternionsIt is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.
Intended to introduce readers to the major geometrical topics taught at undergraduate level in a manner that is both accessible and rigorous, the author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them.
Table of Contents
The Geometry of Numbers.- Coordinate Geometry.- The Geometry of the Euclidean Plane.- The Geometry of Complex Numbers.- Solid Geometry.- Projective Geometry.- Conics and Quadric Surfaces.- Spherical Geometry.- Quaternions and Octonians.- Bibliography.- Index.
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