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Tensors for scientists = a mathematical introduction /

Record Type:	Language materials, printed : 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.;
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:

890856
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

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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.
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