Implicit Functions and Solution Mappings: A View from Variational Analysis (Springer Monographs in Mathematics) Book + PRICE WATCH * Amazon pricing is not included in price watch

Implicit Functions and Solution Mappings: A View from Variational Analysis (Springer Monographs in Mathematics) Book

Treats the implicit function paradigm in the classical framework and beyond focusing largely on properties of solution mappings of variational problems. This book considers implicit mappings defined by relations other than equations such as variational problems. It also provides applications to numerical analysis and optimization.Read More

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  • Blackwell

    This text on the implicit function paradigm is a self-contained reference that unifies a collection of many results scattered throughout other literature. It contains numerous exercises and a large amount of historical information. The implicit...

  • Product Description

    The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This book treats the implicit function paradigm in the classical framework and beyond, focusing largely on properties of solution mappings of variational problems.

    The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. The first chapter of the book treats the classical implicit function theorem in a way that will be useful for students and teachers of undergraduate calculus. The remaining part becomes gradually more advanced, and considers implicit mappings defined by relations other than equations, e.g., variational problems. Applications to numerical analysis and optimization are also provided.

    This valuable book is a major achievement and is sure to become a standard reference on the topic.

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