LEADER 04098nam 22007935 450 001 9910299746703321 005 20200702124145.0 010 $a3-662-43444-X 024 7 $a10.1007/978-3-662-43444-4 035 $a(CKB)3710000000168198 035 $a(EBL)1783597 035 $a(OCoLC)891446388 035 $a(SSID)ssj0001295673 035 $a(PQKBManifestationID)11886406 035 $a(PQKBTitleCode)TC0001295673 035 $a(PQKBWorkID)11346394 035 $a(PQKB)10425560 035 $a(MiAaPQ)EBC1783597 035 $a(DE-He213)978-3-662-43444-4 035 $a(PPN)179927728 035 $a(EXLCZ)993710000000168198 100 $a20140701d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTensor Analysis and Elementary Differential Geometry for Physicists and Engineers /$fby Hung Nguyen-Schäfer, Jan-Philip Schmidt 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (250 p.) 225 1 $aMathematical Engineering,$x2192-4732 300 $aDescription based upon print version of record. 311 $a1-322-17274-9 311 $a3-662-43443-1 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aGeneral Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Applications of Tensors and Differential Geometry -- Further Reading -- Appendices. 330 $aTensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics, and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers. 410 0$aMathematical Engineering,$x2192-4732 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aPhysics 606 $aComputer mathematics 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aPhysics. 615 0$aComputer mathematics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aMathematical and Computational Engineering. 615 24$aMathematical Methods in Physics. 615 24$aComputational Science and Engineering. 615 24$aSolid Mechanics. 676 $a515.63 700 $aNguyen-Schäfer$b Hung$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720677 702 $aSchmidt$b Jan-Philip$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299746703321 996 $aTensor Analysis and Elementary Differential Geometry for Physicists and Engineers$92150003 997 $aUNINA