MARC Record from harvard_bibliographic_metadata

LEADER: 02618nam a22004095a 4500
001 014199313-8
005 20141205170934.0
008 140918s2014 xxk| s ||0| 0|eng d
020 $a9781447164197
020 $a9781447164197
020 $a9781447164180
024 7 $a10.1007/978-1-4471-6419-7$2doi
035 $a(Springer)9781447164197
040 $aSpringer
050 4 $aQA1-939
072 7 $aPB$2bicssc
072 7 $aMAT000000$2bisacsh
082 04 $a510$223
100 1 $aDineen, Seán,$d1944-$eauthor.
245 10 $aMultivariate Calculus and Geometry /$cby Seán Dineen.
250 $a3rd ed. 2014.
264 1 $aLondon :$bSpringer London :$bImprint: Springer,$c2014.
300 $aXIV, 257 p. 103 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
505 0 $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.
520 $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.
650 10 $aMathematics.
650 0 $aMathematics.
650 24 $aMathematics, general.
776 08 $iPrinted edition:$z9781447164180
830 0 $aSpringer Undergraduate Mathematics Series.
988 $a20141002
906 $0VEN