This book is an introductory graduate-level textbook on the theory of smooth manifolds.

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

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.

This book offers an introductory course in algebraic topology.

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 ...

It is the purpose of this book to fill the gap. The three differential theories are by no means independent of each other, but proceed according to their own flavor.

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.