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Tensors for scientists = a mathematical introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Tensors for scientists/ by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi.
其他題名:	a mathematical introduction /
作者:	Silva, Ana Cannas da.
其他作者:	Imamoğlu, Özlem.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xvii, 178 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Tensor algebra. -
電子資源:	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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