Itskov, Mikhail Tensor algebra and tensor analysis for engineers 9783319988054

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Автор: Itskov, Mikhail
Название: Tensor algebra and tensor analysis for engineers
ISBN: 9783319988054
Издательство: Springer
Классификация:

Политэкономия

Алгебра

Геометрия

Дифференциальная и риманова геометрия

Классическая механика

Материаловедение

Механика твердых тел

ISBN-10: 3319988050
Обложка/Формат: Hardcover
Страницы: 300
Вес: 0.64 кг.
Дата издания: 27.09.2018
Серия: Mathematical engineering
Язык: English
Издание: 5th ed. 2019
Иллюстрации: 13 illustrations, color; 7 illustrations, black and white; xiv, 280 p. 20 illus., 13 illus. in color.
Размер: 163 x 242 x 20
Читательская аудитория: Professional & vocational
Подзаголовок: With applications to continuum mechanics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
Дополнительное описание: Vectors and Tensors in a Finite-Dimensional Space.- Vector and Tensor Analysis in Euclidean Space.- Curves and Surfaces in Three-Dimensional Euclidean Space.- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors.- Fourth-Order Tensors.- A

Tensor algebra and tensor analysis for engineers, Itskov, Mikhail