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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 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
This lecture note covers the following topics: fundamental solutions for elliptic, hyperbolic and parabolic differential operators, method of characteristics, review of Lebesgue integration, distributions, fourier transform, homogeneous distributions, asymptotic methods.
Author(s): Prof. Richard Melrose
NA Pages
Differential Analysis Lecture Notes, Spring 2004
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
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