Advanced Calculus A Geometric View /

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--th...

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Autore principale: Callahan, James J. (Autore, http://id.loc.gov/vocabulary/relators/aut)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:English
Pubblicazione: New York, NY : Springer New York : Imprint: Springer, 2010.
Edizione:1st ed. 2010.
Serie:Undergraduate Texts in Mathematics,
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Accesso online:https://doi.org/10.1007/978-1-4419-7332-0
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Sommario:
  • Starting Points
  • Geometry of Linear Maps
  • Approximations
  • The Derivative
  • Inverses
  • Implicit Functions
  • Critical Points
  • Double Integrals
  • Evaluating Double Integrals
  • Surface Integrals
  • Stokes’ Theorem.