The Implicit Function Theorem History, Theory, and Applications /

• Main Authors: Krantz, Steven G. (Author), Parks, Harold R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Partial differential equations.; Differential geometry.; History.; Analysis.; Partial Differential Equations.; Differential Geometry.; History of Mathematical Sciences.; Ordinary Differential Equations.

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differe...