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Beschreibung
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.

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.

Inhaltsverzeichnis
- 1. Introduction.- 2. Review of Linear Algebra.- 3. Multilinear Forms.- 4. Inner Products.- 5. Tensors.- 6. Some Physical Tensors.- 7. Solutions to Exercises.
Details
Erscheinungsjahr: 2025
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvii
178 S.
1 s/w Illustr.
178 p. 1 illus.
ISBN-13: 9783031941351
ISBN-10: 3031941357
Sprache: Englisch
Herstellernummer: 978-3-031-94135-1
Autor: Cannas da Silva, Ana
Imamoglu, Özlem
Iozzi, Alessandra
Hersteller: Birkhäuser
Springer, Berlin
Springer Nature Switzerland
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Abbildungen: XVII, 178 p. 1 illus.
Maße: 11 x 155 x 235 mm
Von/Mit: Ana Cannas da Silva (u. a.)
Erscheinungsdatum: 21.09.2025
Gewicht: 0,306 kg
Artikel-ID: 133926951

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