Faithin Omaha eBook Collection

Covariant derivative of forms on principal bundles -- The curvature form -- Horizontal lifts of vector fields -- Local sections and trivializations -- Horizonta

This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential

Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometr

Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled int