Multivariate calculus and geometry

Author(s)

Bibliographic Information

Multivariate calculus and geometry

Seán Dineen

(Springer undergraduate mathematics series)

Springer, c1998

Available at  / 31 libraries

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Note

Includes index

Description and Table of Contents

Description

Aimed primarily at higher-level undergraduates, this book seeks to provide a deeper understanding of multivariate calculus and geometry, which will enable the reader to appreciate the uses and limitations of multivariate analysis when applying them to new problems. It provides a description of the basic concepts, via familiar explanations, which are then tested in technically demanding examples. The author assumes a minimal amount of prerequisite knowledge.

Table of Contents

Preface.- Introduction to Differentiable Functions.- Level Sets and Tangent Spaces.- Lagrange Multipliers.- Maxima and Minima on Open Sets.- Curves in bbR.- Line Integrals.- The Frenet-Serret Equations.- Geometry of Curves in bbR.- Double Integration.- Parametrized Surfaces in bbR.- Surface Area.- Surface Integrals.- Stokes' Theorem.- Triple Integration.- Divergence Theorem.- Geometry of Surfaces bbR.- Gaussian Curvature.- Geodesic Curvature.- Solutions.- Index.

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Details

  • NCID
    BA3497394X
  • ISBN
    • 3540761764
  • LCCN
    97031752
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xii, 262 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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