Multivariate calculus and geometry. - 2nd edition

Sean Dineen

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Sean Dineen - Multivariate calculus and geometry. - 2nd edition.
Aimed primarily at higher level undergraduates in the mathematical sciences, the author provides the reader with a deep understanding of the uses and... Lire la suite
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Résumé

Aimed primarily at higher level undergraduates in the mathematical sciences, the author provides the reader with a deep understanding of the uses and limitations of multivariate calculus by the integrated use of geometric, intuitive arguments, detailed explanations and mathematical reasoning. On reading this book the student will acquire the confidence and techniques necessary to tackle news problems. In this revised edition, which includes additional exercises and expanded solutions, Sean Dineen gives a solid description of the basic concepts, via simple familiar examples which are then tested in technically demanding situations. The author recognises the varied backgrounds students bring to the subject and only assumes the minimal prerequisite knowledge necessary for comprehensive and unified understanding of the Differential, Integral and Geometric Calculus of Several Variables.

Sommaire

    • 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
    • Parametrized surfaces in R3
    • Surface area
    • Surface integrals
    • Stokes' theorem
    • Triple integrals
    • The divergence theorem
    • Geometry of surface in R3
    • Gaussian curvature
    • Geodesic curvature.

Caractéristiques

  • Date de parution
    11/07/2001
  • Editeur
  • Collection
  • ISBN
    1-85233-472-X
  • EAN
    9781852334727
  • Présentation
    Broché
  • Nb. de pages
    254 pages
  • Poids
    0.465 Kg
  • Dimensions
    17,0 cm × 23,0 cm × 1,7 cm

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