A Short Course in Tensor Analysis for Electrical Engineers PDF Download
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Author: Gabriel Kron
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Author: Gabriel Kron
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Author: Stanley Austen Stigant
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: S. A. Stigant
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Banesh Hoffmann
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 14
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Book Description
Author: Hung Nguyen-Schäfer
Publisher: Springer
ISBN: 3662484978
Category : Technology & Engineering
Languages : en
Pages : 389
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Book Description
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; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.
Author: Mikhail Itskov
Publisher: Springer Science & Business Media
ISBN: 3540939075
Category : Technology & Engineering
Languages : en
Pages : 253
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Book Description
There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling autonomous study. The last chapters deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.
Author: Heinz Schade
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110404265
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic tools and contains numerous exercises with answers, making it suitable for self study for students and researchers in areas such as solid mechanics, fluid mechanics, and electrodynamics. Contents Algebraic Tools Tensor Analysis in Symbolic Notation and in Cartesian Coordinates Algebra of Second Order Tensors Tensor Analysis in Curvilinear Coordinates Representation of Tensor Functions Appendices: Solutions to the Problems; Cylindrical Coordinates and Spherical Coordinates
Author: G. Kron
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Meinhard T. Schobeiri
Publisher: Springer Nature
ISBN: 3030357368
Category : Science
Languages : en
Pages : 252
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Book Description
This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics.
Author: Mehrzad Tabatabaian
Publisher: Mercury Learning and Information
ISBN: 1683929624
Category : Technology & Engineering
Languages : en
Pages : 267
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Book Description
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections. FEATURES: Expanded content on the application of mechanical stress transformation Covers rigid body rotation and Cartesian tensors by including Euler angles and quaternion methods Uses easy to understand mathematical concepts through numerous figures, solved examples, and exercises Lists gradient-like operators for major systems of coordinates and rotation matrices for proper Euler and Tait-Bryan angles
