Tensor Algorithm Tutorial

Author: Lü Panming
Publisher:
Publish Date: 2004-02-01
Features: This book is a concise tutorial on tensor algorithms written for science and engineering students in non-mathematics majors at universities. It focuses on teaching students the index notation of tensors and tensor index operations, while also explaining some of the main concepts of tensors. The content includes Cartesian tensors, the general definition of tensors, algebraic and differential operations of tensors, arbitrary curvilinear coordinates, and the automatic generation of arbitrary curvilinear grids. Additionally, it covers the geometric meaning of second-order symmetric tensors, as well as knowledge of isotropic tensors and curvature tensors, etc. The book is designed to be simple and easy to understand, with a well-structured chapter arrangement, making it suitable for courses with varying credit hours and for self-study by readers with different backgrounds. Readers only need to have basic knowledge of calculus and some matrix algebra.