
Lectures on analytic differential equations
Author:
Yulij Ilyashenko, Sergei Yakovenko
Language:
The first chapter contains the basics of formal and analytic normal
form theory. The tools developed in this chapter are systematically used
throughout the book. In the Chapter II we treat a new app . . . . . 
Metrics on the Phase Space and NonSelfadjoint Operators
Author:
Lerner, Nicolas
Language:

This is a fourhundredpage book on the topic of pseudodifferential operators, with special emphasis on nonselfadjoint operators, a priori estimates and localization in the phase space. The first c . . . . . 

Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
Author:
Lloyd N. Trefethen
Language:
 Contents: Chapter 1.Ordinary differential equations;
Chapter 2. Fourier analysis;
Chapter 3. Finite difference approximations; Chapter 4. Accuracy, stability and convergence;
Chapter 5. Dissipation . . . . . 

Ordinary Differential Equations and Dynamical Systems
Author:
Gerald Teschl
Language:
This manuscript provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental re . . . . . 
Quasilinear elliptic problems
Author:
Marco Squassina
Language:
The aim of this monograph is to present a comprehensive survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasilinear elliptic equ . . . . . 
Systémes différentiels
Author:
M. Reggio
Language:
Contents: equations aux derivees ordinaires; Equations paraboliques; Equations elliptiques; Equations hyperboliques. 
Harmonic Analysis Lecture Notes
Author:
Richard S. Laugesen
Language:
These notes present a first graduate course in harmonic analysis.
The first part emphasizes Fourier series, since so many aspects of harmonic analysis arise already in that classical context. The Hil . . . . . 
Nonlinear Analysis and Differential Equations: An Introduction
Author:
Klaus Schmitt
Language:
Contents: Nonlinear Analysis; Analysis In Banach Spaces; The Method of LyapunovSchmidt; Degree Theory; Global Solution Theorems; Ordinary Differential Equations; Existence and Uniqueness Theorems; Li . . . . . 
Lectures on ThreeDimensional Elasticity
Author:
P. G. Ciarlet
Language:
When studying any physical problem in Applied Mathematics, three essential stage are involved.
1. Modeling: An appropriate mathematical model, based on the
physics or the engineering of the situatio . . . . . 
Notes on Measure and Integration
Author:
John Franks
Language:
This text grew out of notes I have used in teaching a one quarter course on integration at the advanced undergraduate level. My intent is to introduce the Lebesgue integral in a quick, and hopeful . . . . . 
Notes on Differential Equation
Author:
Bob Terrell.
Language:
These are introductory notes on ordinary and partial differential equations. Assumed
background is calculus and a little physics. Linear algebra is not assumed, and is introduced
here in four of the . . . . . 
Spherical Harmonics in p Dimensions
Author:
Christopher Frye, Costas J. Efthimiou
Language:
The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, availab . . . . . 
Fourier Analysis and Differential Equations
Author:
Belavkin
Language:
Contents: ordinary differential equations; Partial differential equations; Fourier analysis and differential equations; Boundary Value Problems. 
Difference Equations to Differential Equations
Author:
Dan Sloughter
Language:
Contents: Sequences, limits, and difference equations; Functions and their properties; Best affine approximations; Integration; Polynomial approximations and Taylor series; More transcendental functio . . . . . 