The geometry of two and three dimensional space has long been studied for its own sake, but its results also underlie modern developments in fields as diverse as linear algebra, quantum physics, and number theory. This text is a careful introduction to Euclidean geometry that emphasizes its connections with other subjects. Glimpses of more advanced topics in pure mathematics are balanced by a straightforward treatment of the geometry needed for mechanics and classical applied mathematics. The exposition is based on vector methods; an introductory chapter relates these methods to the more classical axiomatic approach. The text is suitable for undergraduate courses in geometry and will be useful supplementary reading for students of mechanics and mathematical methods.
Beautiful introductory book about Basic Geometry, written in a brief british style, for beginning undergraduate students. The book can be read by (and can be taught to) anyone with some background in traditional high school Mathematics. The book begins with Euclidean Geometry and ends with a brief introduction to Differential Geometry of curves and surfaces. It is an interesting read (and a pleasant teach, unlike most undergraduate text books) with nice historical threads and good classical problems. The author provides hints and short solutions to almost all the problems at the end of the book. The problems are an essential ingredient of the book, so don't miss them! The author probably did not quite intend to write a yellow "Geometry for Dummies" so he does not dwell (not for too long at least) on the trivial stuff. Geometry was never part of the Trivium! You will feel good about yourself and about Geometry, one of the oldest disciplines of science, after reading this book. I did.
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