LEADER 03199nam 22005775 450 001 9910299982703321 005 20200630053111.0 010 $a1-4471-6419-9 024 7 $a10.1007/978-1-4471-6419-7 035 $a(CKB)3710000000249651 035 $a(SSID)ssj0001354219 035 $a(PQKBManifestationID)11732962 035 $a(PQKBTitleCode)TC0001354219 035 $a(PQKBWorkID)11322893 035 $a(PQKB)10628861 035 $a(DE-He213)978-1-4471-6419-7 035 $a(MiAaPQ)EBC6315369 035 $a(MiAaPQ)EBC5590027 035 $a(Au-PeEL)EBL5590027 035 $a(OCoLC)891136625 035 $a(PPN)181353016 035 $a(EXLCZ)993710000000249651 100 $a20140918d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMultivariate Calculus and Geometry$b[electronic resource] /$fby Seán Dineen 205 $a3rd ed. 2014. 210 1$aLondon :$cSpringer London :$cImprint: Springer,$d2014. 215 $a1 online resource (XIV, 257 p. 103 illus.) 225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085 300 $aIncludes index. 311 $a1-4471-6418-0 327 $aIntroduction to Differentiable Functions -- Level Sets and Tangent Spaces -- Lagrange Multipliers -- Maxima and Minima on Open Sets -- Curves in Rn -- Line Integrals -- The Frenet?Serret Equations -- Geometry of Curves in R3 -- Double Integration -- Parametrized Surfaces in R3 -- Surface Area -- Surface Integrals -- Stokes? Theorem -- Triple Integrals -- The Divergence Theorem -- Geometry of Surfaces in R3 -- Gaussian Curvature -- Geodesic Curvature. 330 $aMultivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this programme. It additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences. The inclusion of many practical examples involving problems of several variables will appeal to mathematics, science and engineering students. 410 0$aSpringer Undergraduate Mathematics Series,$x1615-2085 606 $aMathematics 606 $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009 615 0$aMathematics. 615 14$aMathematics, general. 676 $a515 700 $aDineen$b Seán$4aut$4http://id.loc.gov/vocabulary/relators/aut$054925 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299982703321 996 $aMultivariate calculus and geometry$91410527 997 $aUNINA