The Implicit Function Theorem: History, Theory, and Applications by Steven G. Krantz and Harold R. Parks
English | 2013 | ISBN-10: 146145980X | 176 pages | PDF | 14,1 MB
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 differential equations, differential geometry, and geometric analysis.