Advanced calculus : : using differential functions of several variables / / Tunc Geveci.

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Bibliographic Details
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Place / Publishing House:New York, [New York] (222 East 46th Street, New York, NY 10017) : : Momentum Press,, 2016.
Year of Publication:2016
Language:English
Online Access:
Physical Description:1 online resource (71 pages) :; illustrations.
Notes:
  • Co-published with Cognella Academic Publishing.
  • Includes index.
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Table of Contents:
  • 1. Parametrized functions
  • Parametrized curves
  • Tangent vectors
  • Velocity
  • 2. Differential equations for acceleration and curvature
  • Acceleration
  • The moving frame
  • Arc length
  • Curvature
  • Tangential and normal components of acceleration
  • 3. Real-valued functions
  • Real-valued functions of two variables
  • Real-valued functions of three or more variables
  • 4. An introduction to partial derivatives
  • Limits and continuity
  • The definition and evaluation of partial derivatives
  • The geometric interpretation of partial derivatives
  • Higher-order partial derivatives
  • 5. Linear approximations
  • Local linear approximations
  • The differential
  • Functions of more than two variables
  • Index.