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  - 9783662484975
AV  - TA329-348 
U1  - 620.00151 23
PY  - 2017///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Engineering mathematics
KW  - Differential geometry
KW  - Physics
KW  - Computer mathematics
KW  - Engineering Mathematics
KW  - Differential Geometry
KW  - Mathematical Methods in Physics
KW  - Computational Science and Engineering
N1  - 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 -- Appendices; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. 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, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.
UR  - https://doi.org/10.1007/978-3-662-48497-5
ER  -