Tensors for Scientists A Mathematical Introduction /
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...
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| المؤلفون الرئيسيون: | , , |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | الإنجليزية |
| منشور في: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| الطبعة: | 1st ed. 2025. |
| سلاسل: | Compact Textbooks in Mathematics,
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-031-94136-8 |
| الوسوم: |
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| 100 | 1 | |a Cannas da Silva, Ana. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Tensors for Scientists |h [electronic resource] : |b A Mathematical Introduction / |c by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
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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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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| 650 | 1 | 4 | |a Linear Algebra. |
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| 650 | 2 | 4 | |a Applications of Mathematics. |
| 700 | 1 | |a Imamoğlu, Özlem. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Iozzi, Alessandra. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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