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Multivariable Differential Calculus

In: Introduction to Mathematical Analysis

Author

Listed:
  • Igor Kriz

    (University of Michigan, Department of Mathematics)

  • Aleš Pultr

    (Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics)

Abstract

In this chapter, we will learn multivariable differential calculus. We will develop the multivariable versions of the concept of a derivative, and prove the Implicit Function Theorem. We will also learn how to use derivatives to find extremes of multivariable functions.

Suggested Citation

  • Igor Kriz & Aleš Pultr, 2013. "Multivariable Differential Calculus," Springer Books, in: Introduction to Mathematical Analysis, edition 127, chapter 3, pages 65-95, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0636-7_3
    DOI: 10.1007/978-3-0348-0636-7_3
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