Lecture Notes on Differential Analysis

Differential and Integral Analysis by Thomas Prellberg

This PDF book covers the following topics related to Differential and Integral Analysis : Differentiation, The Mean Value Theorem, The Exponential Function, Inverse Functions, Higher Order Derivatives, Definition of the Riemann Integral, Properties of the Riemann Integral, The Fundamental Theorem of Calculus, Sequences and Series of Functions, Power Series.

Author(s): Thomas Prellberg

77 Pages

Lecture Note for Differential Analysis

This note contains the following subcategories, Continuous Functions , Measures and algebras , Measureability of Functions, Integration, Hilbert Space, Test Functions, Tempered Distributions , Convolution and Density, Fourier Inversion, Sobolev Embedding , Differential Operators , Cone Support and Wavefront Set, Homogeneous Distributions and Spectral Theorem.

Author(s): Richard B Melrose

NA Pages

Lecture Notes on Differential Analysis

The main goal of this course note is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

Author(s): Prof. Jeff Viaclovsky

NA Pages

Nonlinear Analysis and Differential Equations An Introduction

This lecture note covers the following topics: Analysis In Banach Spaces, The Method of Lyapunov Schmidt, Degree Theory, Global Solution Theorems, Existence and Uniqueness Theorems, Linear Ordinary Differential Equations, Periodic Solutions, Stability Theory, Invariant Sets, Hopf Bifurcation and Sturm-Liouville Boundary Value Problems.

Author(s): Klaus Schmitt and Russell C. Thompson

158 Pages