Nonlinear Functional Analysis

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This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analysis, and topology. This includes a new proof of Keel–Tao endpoint Strichartz estimates, and a new proof of Bourgain's result for radial, energy-critical NLS. It also provides a detailed presentation of scattering results for energy-critical and mass-critical equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schrödinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

A comprehensive resource that draws a balance between theory and applications of nonlinear time series analysis Nonlinear Time Series Analysis offers an important guide to both parametric and nonparam

An Introduction to Nonlinear Analysis: Applications offers an exposition of the main applications of Nonlinear Analysis. Its starting point is a chapter on Nonlinear Operators and Fixed Points, a conn

The first in a two-volume comprehensive survey of the field that combines topology, measure theory, nonlinear functional analysis, and applied mathematics. Following more or less the history of the su

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis an

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社會科學研究方法一日千里，傳統上以線性模式來分析社會現象與教育現象的方式，受到不少質疑。近年來，社會科學界為了解決資料結構具有巢套與階層特性，常以階層線性模式（Hierarchical Linear and Nonlinear Models, HLM）或稱為多層次模型來分析，重點在於它更能掌握社會現象與教育現象的真實性，推論能更為準確，因而在企業管理、社會學與心理學運用的分析很多。 本書共分五篇

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Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

本書是非線性分析論，將非線性分析主要內容加以詳細介紹。主要內容含泛函分析；定點定理；巴拿赫空間的微積分；分歧理論；索伯列夫空間；算子論；變異法；度論；度論應用。

This study is essentially biographical and built on a conceptual framework supported by a thorough analysis of the sources. Chang's historical position as a reformer is the point of evalu

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechani

This book is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The main aim is to develop rigorously the basic notions of functional analysis

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Th

Introduction to Nonlinear Finite Element Analysis will introduce the key concepts of nonlinear finite element analysis procedures. The book will explain the fundamental theories of the field, and prov

In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of n

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Tod