This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage.

Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.

Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves.

An enthusiastic presentation of the complex set of uniform duals of uniform polyhedral shapes.

Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real.

Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the ...

The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.

The significance of the spiral in nature, art, science, and the phenomena of life and growth is probed