Louis Nirenberg - Topics in Nonlinear Functional Analysis

Louis Nirenberg - Topics in Nonlinear Functional Analysis
Publisher: American Mathematical Society | 2001 | ISBN: 0821828193 | DJVU | 160 pages | 1.02 mb

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.

Download Link:



[Fast Download] Louis Nirenberg - Topics in Nonlinear Functional Analysis

Related eBooks:
Instructor's Solutions Manual to Calculus & Its Applications
Deterministic Network Calculus
An Accelerated Solution Method for Two-Stage Stochastic Models in Disaster Management
Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theo
Computational Aspects of General Equilibrium Theory: Refutable Theories of Value
Epidemics: Models and Data using R
Transforming Primary Mathematics
Measure and Integration Theory
Ramanujan's Notebooks: Part II
Models and Algorithms for Global Optimization: Essays Dedicated to Antanas Zilin
Lectures on algebraic cycles
Lectures on Random Interfaces
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.