This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most r

I. Introduction. 1. Orientations -- II. Tools. 2. Differential forms -- 3. Vector spaces and tensor products -- 4. Exterior differentiation -- III. Two Klein ge

This book lets readers understand differential geometry with differential forms. It is unique in providing detailed treatments of topics not normally found else

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum partic

An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the fi