Название: Tensor Analysis for Engineers, Second Edition: Transformations - Mathematics - Applications Автор: Mehrzad Tabatabaian PhD Издательство: Mercury Learning and Information Год: 2020 Формат: true pdf/epub Страниц: 195 Размер: 23.8 Mb Язык: English
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. 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 rigid body rotation and Cartesian tensors by including Euler angles and quaternion methods +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
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