title: Tensors of second rank
metadata.name: dc.contributor.author
metadata.value: Volkov, Aleksandr E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Volkova, Natalia A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shikhobalov, Lavrentii S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-03-17T11:58:12Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-03-17T11:58:12Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-03-17
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17189
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The study guide describes the algebra of tensors of the second rank in three-dimensional Euclidean space. The concept of dyad is introduced and the tensor is defined as a linear combination of dyads. Various types of tensors are considered and the basic definitions and theorems of tensor algebra are formulated. The relationship of tensors with linear operators and square matrices (consisting of the coordinates of the tensors relative to the orthonormal basis) is analyzed. The formula for transforming the coordinates of tensors when turning the basis is derived. Examples of tensor quantities are given. The study guide is intended for students who are studying in programs that include the study of theory of tensors . With its help, students will master the basics of tensor algebra, learn how to use dyadic and matrix records of tensors, master the law of transformation of the matrix of  tensor when changing the basis. The study guide can also be useful to graduate students and researchers, in the educational and scientific activities of which the mathematical apparatus of the theory of tensors is used. Bibliogr. 16 titles. Fig. 10.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tensor
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dyad
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tensor product
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tensor basis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: tensor matrix
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: basis change
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: тензор
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: диада
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: тензорное произведение
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: тензорный базис
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: матрица тензора
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: замена базиса
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Tensors of second rank
metadata.lang: en_GB
metadata.name: dc.title.alternative
metadata.value: Тензоры второго ранга
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Book
metadata.lang: en_GB
resources.filename: Волков,Волкова,Шихобалов(Тензоры второго ранга).pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17189/1/%d0%92%d0%be%d0%bb%d0%ba%d0%be%d0%b2%2c%d0%92%d0%be%d0%bb%d0%ba%d0%be%d0%b2%d0%b0%2c%d0%a8%d0%b8%d1%85%d0%be%d0%b1%d0%b0%d0%bb%d0%be%d0%b2%28%d0%a2%d0%b5%d0%bd%d0%b7%d0%be%d1%80%d1%8b%20%d0%b2%d1%82%d0%be%d1%80%d0%be%d0%b3%d0%be%20%d1%80%d0%b0%d0%bd%d0%b3%d0%b0%29.pdf
resources.format: Adobe PDF
resources.size: 400,48 kB