Topics in Nonlinear Functional Analysis : Courant Lecture Notes - Louis Nirenberg

Topics in Nonlinear Functional Analysis

By: Louis Nirenberg

Paperback | 30 April 2001

At a Glance

Paperback


$72.80

or 4 interest-free payments of $18.20 with

 or 

Aims to ship in 15 to 25 business days

When will this arrive by?
Enter delivery postcode to estimate

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Industry Reviews
extremely stimulating Zentralblatt fur Mathematik

More in Functional Analysis & Transforms

Young Scientists Series, The (In 12 Volumes) : Young Scientists - Nury Vittachi
Fixed Point Theory in P-Vector Spaces - George Xianzhi Yuan
Applied Thematic Analysis - Greg Guest

RRP $198.00

$72.95

63%
OFF
Introduction to Real Analysis - Robert G. Bartle

RRP $219.95

$195.50

11%
OFF
Polyanalytic Type Function Spaces - Nikolai Vasilevski
Algebras of Unbounded Operators - No Contributor