10. The Derivative in Euclidean Space

  1. Leonard F. Richardson

Published Online: 15 FEB 2011

DOI: 10.1002/9781118032411.ch10

Advanced Calculus: An Introduction to Linear Analysis

Advanced Calculus: An Introduction to Linear Analysis

How to Cite

Richardson, L. F. (2008) The Derivative in Euclidean Space, in Advanced Calculus: An Introduction to Linear Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032411.ch10

Publication History

  1. Published Online: 15 FEB 2011
  2. Published Print: 11 APR 2008

ISBN Information

Print ISBN: 9781118030677

Online ISBN: 9781118032411

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Keywords:

  • derivatives;
  • Euclidean space;
  • linear transformations;
  • differentiable functions;
  • Taylor's theorem

Summary

This chapter contains sections titled:

  • Linear Transformations and Norms

  • Differentiable Functions

  • The Chain Rule in Euclidean Space

  • Inverse Functions

  • Implicit Functions

  • Tangent Spaces and Lagrange Multipliers30

  • Test Yourself