Nail H. Ibragimov, "Tensors and Riemannian Geometry: With Applications to Differential Equations"
2015 | ISBN-10: 311037949X | 187 pages | PDF | 3 MB
2015 | ISBN-10: 311037949X | 187 pages | PDF | 3 MB
This graduate textbook begins by introducing Tensors and Riemannian Spaces, and then elaborates their application in solving second-order differential equations, and ends with introducing theory of relativity and de Sitter space. Based on 40 years of teaching experience, the author compiles a well-developed collection of examples and exercises to facilitate the reader's learning.