Straightedge and compass.- Euclid's approach to geometry.- Coordinates.- Vectors and Euclidean spaces.- Perspective.- Projective planes.- Transformations.- Non-Euclidean geometry.
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants
Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic
Abundantly supplemented with figures and exercises
Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract. The book contains more than 100 figures, and a large selection of exercises in each chapter.