Tensors for Pedestrians: An Introduction to Multilinear Operators, Forms and Curvatures

Tensors for Pedestrians: An Introduction to Multilinear Operators, Forms and Curvatures

Tensors for Pedestrians: An Introduction to Multilinear Operators, Forms and Curvatures

Author:Simon Shemesh (Author)

Publisher finelybook 出版社:‏ World Scientific Publishing

Publication Date 出版日期: 2025-08-30

Language 语言: English

Print Length 页数: 520 pages

ISBN-10: 9819811627

ISBN-13: 9789819811625

Book Description

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.

About the Author

Simon Shemesh has worked as an applied physicist for more than 30 years, with one of his latest positions before retirement being the head of Optronics Systems Engineering at an aerospace company. In his long experience he had worked as a reliability engineer, navigation analyst, navigation systems engineer and optronics systems engineer. During his career he remained involved in teaching, having taught high school physics and published a textbook on Kalman optimal filters. He also maintains an interest in the game of bridge with a book and articles to his name.

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