Multivariable Calculus of Real Analytic Functions

  • Steven G. Krantz
  • Harold R. Parks
Part of the Birkhäuser Advanced Texts book series (BAT)


Definition 2.1.1 Set ℤ+ = {0, 1,2, . . .}. A multiindex μ is an element of (ℤ+) m ; we will write
$$\Lambda (m) = (\mathbb{Z}^ + )^m ,$$
but often the size m of a multiindex will be understood from the context.


Power Series Tangent Bundle Normal Bundle Implicit Function Theorem Real Analytic Function 


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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Steven G. Krantz
    • 1
  • Harold R. Parks
    • 2
  1. 1.Department of MathematicsWashington UniversitySt. LouisUSA
  2. 2.Department of MathematicsOregon State UniversityCorvallisUSA

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