Tensors For Pedestrians: An Introduction To Multilinear Operators, Forms And Curvatures

Tensor for Pedestrians is an accessible aid for physics and engineering undergraduates who seek a deeper understanding of tensors at an intuitive level. The book is intended as a self-study introduction to differential geometry, curvature, and Cartan moving frames. The subjects treated are planned to transit the student from the standard vector calculus taught in introductory courses towards modern differential geometry with its various applications. Presentation of the material is leisurely paced - as befits pedestrian learners. Chapters are self contained and equations in the text are fully explained without obscure and annoying gaps. The book is richly supplemented by many examples and detailed problems and solutions at the end of each chapter. All in all, the book will enable a beginner or an intermediate learner to explore and appreciate the beauty of the fundamental concepts presented.