MTU Cork Library Catalogue

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Multivariate calculus and geometry / Sean Dineen.

By: Dineen, Seán, 1944-.
Material type: materialTypeLabelBookSeries: Springer undergraduate mathematics series.Publisher: London ; New York : Springer, c1998Description: xii, 262 p. : ill ; 24 cm. + pbk.ISBN: 3540761764 .Subject(s): CalculusDDC classification: 515
Contents:
Introduction 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 -- Parametrised surfaces in R3 -- Surface area -- Surface integrals -- Stokes' theorem -- Triple integrals -- The divergence theorem -- Geometry of surfaces in R3 -- Gaussian curvature -- Geodesic curvature.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 515 (Browse shelf(Opens below)) 1 Available 00076247
Total holds: 0

Enhanced descriptions from Syndetics:

This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are then tested in technically demanding situations. Readers will gain a deep understanding of the uses and limitations of multivariate calculus.

Includes index.

Introduction 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 -- Parametrised surfaces in R3 -- Surface area -- Surface integrals -- Stokes' theorem -- Triple integrals -- The divergence theorem -- Geometry of surfaces in R3 -- Gaussian curvature -- Geodesic curvature.

Table of contents provided by Syndetics

  • 1 Introduction to Differentiable Functions
  • 2 Level Sets and Tangent Spaces
  • 3 Lagrange Multipliers
  • 4 Maxima and Minima on Open Sets
  • 5 Curves in Rn
  • 6 Line Integrals
  • 7 The Frenet-Serret Equations
  • 8 Geometry of Curves in R3
  • 9 Double Integration
  • 10 Parametrised Surfaces in R3
  • 11 Surface Area
  • 12 Surface Integrals
  • 13 Stokes'Theorem
  • 14 Triple Integrals
  • 15 The Divergence Theorem
  • 16 Geometry of Surfaces in R3
  • 17 Gaussian Curvature
  • 18 Geodesic Curvature
  • Solutions
  • Index

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