Tensors for Scientists : A Mathematical Introduction / / by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi

• Autore: Cannas da Silva Ana
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (248 pages)
• Disciplina: 512.5
• Soggetto topico: Algebras, Linear; Mathematical physics; Mathematics; Linear Algebra; Mathematical Physics; Applications of Mathematics
• Altri autori: ImamoğluÖzlem IozziAlessandra
• Nota di contenuto: - 1. Introduction -- 2. Review of Linear Algebra -- 3. Multilinear Forms -- 4. Inner Products -- 5. Tensors -- 6. Some Physical Tensors -- 7. Solutions to Exercises.
• Sommario/riassunto: 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.
• Titolo autorizzato: Tensors for Scientists
• ISBN: 3-031-94136-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911022452503321
• Lo trovi qui: Univ. Federico II
• Serie: Compact Textbooks in Mathematics, . 2296-455X