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Tensors for scientists = a mathemati...

Silva, Ana Cannas da.

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Tensors for scientists = a mathematical introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensors for scientists/ by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi.
Reminder of title:	a mathematical introduction /
Author:	Silva, Ana Cannas da.
other author:	Imamoğlu, Özlem.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvii, 178 p. :ill., digital ;24 cm.
[NT 15003449]:	- 1. Introduction -- 2. Review of Linear Algebra -- 3. Multilinear Forms -- 4. Inner Products -- 5. Tensors -- 6. Some Physical Tensors -- 7. Solutions to Exercises.
Contained By:	Springer Nature eBook
Subject:	Tensor algebra. -
Online resource:	https://doi.org/10.1007/978-3-031-94136-8
ISBN:	9783031941368

Tensors for scientists = a mathematical introduction /
Silva, Ana Cannas da.

Tensors for scientistsa mathematical introduction /[electronic resource] :by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi. - Cham :Springer Nature Switzerland :2025. - xvii, 178 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

- 1. Introduction -- 2. Review of Linear Algebra -- 3. Multilinear Forms -- 4. Inner Products -- 5. Tensors -- 6. Some Physical Tensors -- 7. Solutions to Exercises.

This textbook provides a compact introduction to tensors, which are physical or geometric entities that generalize vectors. Tensors are fundamental in engineering and physics, as they form the framework for formulating and solving problems across various disciplines. These include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor). As such, tensors are integral to most engineering and physics curricula. The material is presented with a rigorous mathematical foundation while emphasizing practical applications. The numerous exercises, accompanied by detailed solutions, further enhance the book's pedagogical purpose and facilitate self-learning. The book can be used for undergraduate and graduate courses in material science, engineering, and physics, providing a versatile resource for both teaching and studying.

ISBN: 9783031941368

Standard No.: 10.1007/978-3-031-94136-8doiSubjects--Topical Terms:

765822
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

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245 1 0 $a Tensors for scientists $h [electronic resource] : $b a mathematical introduction / $c by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xvii, 178 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-455X
505 0 $a - 1. Introduction -- 2. Review of Linear Algebra -- 3. Multilinear Forms -- 4. Inner Products -- 5. Tensors -- 6. Some Physical Tensors -- 7. Solutions to Exercises.
520 $a This textbook provides a compact introduction to tensors, which are physical or geometric entities that generalize vectors. Tensors are fundamental in engineering and physics, as they form the framework for formulating and solving problems across various disciplines. These include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor). As such, tensors are integral to most engineering and physics curricula. The material is presented with a rigorous mathematical foundation while emphasizing practical applications. The numerous exercises, accompanied by detailed solutions, further enhance the book's pedagogical purpose and facilitate self-learning. The book can be used for undergraduate and graduate courses in material science, engineering, and physics, providing a versatile resource for both teaching and studying.
650 0 $a Tensor algebra. $3 765822
650 1 4 $a Linear Algebra. $3 3338825
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Imamoğlu, Özlem. $3 3791052
700 1 $a Iozzi, Alessandra. $3 3791053
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950 $a Mathematics and Statistics (SpringerNature-11649)