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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
77Pages
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
NAPages
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
NAPages
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
NAPages
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NAPages
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
158Pages
