LEADER 03007nam 22006015 450 001 9911022452503321 005 20250831130158.0 010 $a3-031-94136-5 024 7 $a10.1007/978-3-031-94136-8 035 $a(MiAaPQ)EBC32275597 035 $a(Au-PeEL)EBL32275597 035 $a(CKB)40832351800041 035 $a(DE-He213)978-3-031-94136-8 035 $a(OCoLC)1537947919 035 $a(EXLCZ)9940832351800041 100 $a20250831d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTensors for Scientists $eA Mathematical Introduction /$fby Ana Cannas da Silva, Özlem Imamo?lu, Alessandra Iozzi 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (248 pages) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 08$a3-031-94135-7 327 $a- 1. Introduction -- 2. Review of Linear Algebra -- 3. Multilinear Forms -- 4. Inner Products -- 5. Tensors -- 6. Some Physical Tensors -- 7. Solutions to Exercises. 330 $aThis textbook provides a compact introduction to tensors, which are physical or geometric entities that generalize vectors. Tensors are fundamental in engineering and physics, as they form the framework for formulating and solving problems across various disciplines. These include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor). As such, tensors are integral to most engineering and physics curricula. The material is presented with a rigorous mathematical foundation while emphasizing practical applications. The numerous exercises, accompanied by detailed solutions, further enhance the book's pedagogical purpose and facilitate self-learning. The book can be used for undergraduate and graduate courses in material science, engineering, and physics, providing a versatile resource for both teaching and studying. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aAlgebras, Linear 606 $aMathematical physics 606 $aMathematics 606 $aLinear Algebra 606 $aMathematical Physics 606 $aApplications of Mathematics 615 0$aAlgebras, Linear. 615 0$aMathematical physics. 615 0$aMathematics. 615 14$aLinear Algebra. 615 24$aMathematical Physics. 615 24$aApplications of Mathematics. 676 $a512.5 700 $aCannas da Silva$b Ana$065988 701 $aImamo?lu$b Özlem$01846868 701 $aIozzi$b Alessandra$01846869 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911022452503321 996 $aTensors for Scientists$94431770 997 $aUNINA