Tensor analysis

Author: Tian Zongruo
Publisher:
Publish Date: 2005-09-01
Features: This book includes the following chapters: Chapter 1 Tensor Algebra, introducing affine spaces and affine coordinate systems, and studying the properties of tensor algebra; Chapter 2 Tensor Analysis, discussing tensors in curvilinear coordinates, and studying tensor calculus in Riemannian spaces and Riemann-Christoffel curvature tensors, etc.; Chapter 3 Surface Tensors, discussing the differential and derivatives of surface tensors, geodesics, semi-geodesics, and S-family coordinate systems, etc.; Chapter 4 Applications of Tensors. This book can serve as a textbook for master's and doctoral students in science and engineering disciplines for related foundational mathematics courses, as well as a reference book for.