Part II. The geometry and topology of manifolds. This is the second volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics.

This book demonstrates how complex numbers and geometry can be blended together to give easy proofs of many theorems in plane geometry.

The audience for this book includes just about anyone who has any curiosity at all about how mathematics helps in explaining the world."--Paul J. Nahin, author of An Imaginary Tale "I learned a lot from this book.

Reihentext + Finite Geometries From the reviews: "Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing... it enables one to have a good look at the forest ...

A fascinating collection of geometric proofs and properties.

"'Geometry by construction' challenges its readers to participate in the creation of mathematics.

This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements.

Lesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan ...

This text is for a one-semester undergraduate course on geometry. It is richly illustrated and contains hundreds of exercises.

Informal introduction into the non-Euclidean geometries through a series of dialogues involving Alice in Wonderland.