TY - BOOK AU - Nguyen-Schäfer,Hung AU - Schmidt,Jan-Philip ED - SpringerLink (Online service) TI - Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers T2 - Mathematical Engineering, SN - 9783662434444 AV - TA329-348 U1 - 519 23 PY - 2014/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Engineering KW - Computer science KW - Mathematical physics KW - Engineering mathematics KW - Materials KW - Appl.Mathematics/Computational Methods of Engineering KW - Mathematical Methods in Physics KW - Computational Science and Engineering KW - Continuum Mechanics and Mechanics of Materials N1 - General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Applications of Tensors and Differential Geometry -- Further Reading -- Appendices N2 - Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics, and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers UR - http://dx.doi.org/10.1007/978-3-662-43444-4 ER -