Properties of countable separation and implicit function theorem

Implicit Function Theorem: History, Theo

Implicit Function Theorem: History, Theory, and Applications

✍ Steven G. Krantz, Harold R. Parks 📂 Library 📅 2002 🏛 Birkhäuser Boston 🌐 English ⚖ 2 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 differe

A uniformly computable Implicit Function

A uniformly computable Implicit Function Theorem

✍ Timothy H. McNicholl 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB

## Abstract We prove uniformly computable versions of the Implicit Function Theorem in its differentiable and non‐differentiable forms. We show that the resulting operators are not computable if information about some of the partial derivatives of the implicitly defining function is omitted. Finall

Robinson’s implicit function theorem and

Robinson’s implicit function theorem and its extensions

✍ A. L. Dontchev; R. T. Rockafellar 📂 Article 📅 2007 🏛 Springer-Verlag 🌐 English ⚖ 227 KB

Correction and representation theorems f

Correction and representation theorems for functions of countably many variables

✍ N. N. Kholshchevnikova 📂 Article 📅 2009 🏛 Allerton Press, Inc. 🌐 English ⚖ 467 KB

The implicit function theorem: history,

The implicit function theorem: history, theory, and applications

✍ Steven G. Krantz, Harold R. Parks 📂 Library 📅 2002 🏛 Birkhäuser 🌐 English ⚖ 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 differe

A Homological Version of the Implicit Fu

A Homological Version of the Implicit Function Theorem

✍ Carlos Biasi; Edivaldo L. dos Santos 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 445 KB