| 书目名称 | Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers |
| 编辑 | Hung Nguyen-Schäfer,Jan-Philip Schmidt |
| 视频video | |
| 概述 | Presents advanced mathematical topics in an approachable fashion.Works step by step through numerous examples with solutions and concrete calculations.A survey of tensor analysis and differential geom |
| 丛书名称 | Mathematical Engineering |
| 图书封面 |  |
| 描述 | .This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. .Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world..The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: .• General Basis and Bra-Ket Notation.• Tensor Analysis.• Elementary Differential Geometry.• Differential Forms.• Applications of Tensors and Differential Geometry.• Tensors and Bra-Ket Notation in Quantum Mechanics.The text reviews methods and applications in computational fluid dynamics; continuum mechanics; e |
| 出版日期 | Book 2017Latest edition |
| 关键词 | Computational Fluid Dynamics (CFD); Differential Geometry with a Moving Surface; Euclidean and Riemann |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-662-48497-5 |
| isbn_softcover | 978-3-662-56929-0 |
| isbn_ebook | 978-3-662-48497-5Series ISSN 2192-4732 Series E-ISSN 2192-4740 |
| issn_series | 2192-4732 |
| copyright | Springer-Verlag Berlin Heidelberg 2017 |
发表于 2025-3-21 16:07:01
