Calculus III pp 695-763 | Cite as

Curves and Surfaces

  • Jerrold Marsden
  • Alan Weinstein
Part of the Undergraduate Texts in Mathematics book series (UTM)


The main subject of this chapter is surfaces in three-dimensional space. In preparation for this, we begin with a study of some special curves in the plane —the conic sections. In the last two sections, we will do some calculus with curves in space. Applications of calculus to surfaces are given in Chapters 15 and 16.


Vector Function Parametric Curve Level Curve Conic Section Quadric Surface 
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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Jerrold Marsden
    • 1
  • Alan Weinstein
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems 107-81PasadenaUSA
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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