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Spaces An Introduction to Real Analysis
This note explains the following topics: Preliminaries: Proofs, Sets, and Functions, The Foundation of Calculus, Metric Spaces, Spaces of Continuous Functions, Modes of continuity, Applications to differential equations, Applications to power series.
Author(s): Tom L. Lindstrom
148 Pages 
Real Analysis Lecture Notes by Itay Neeman
This note covers the following topics: Construction of the Real Line, Uniqueness of R and Basic General Topology, Completeness and Sequential Compactness, Convergence of Sums, Path-Connectedness, Lipschitz Functions and Contractions, and Fixed Point Theorems, Uniformity, Normed Spaces and Sequences of Functions, Arzela-Ascoli, Differentiation and Associated Rules, Applications of Differentiation, The Riemann Integral, Limits of Integrals, Mean Value Theorem for Integrals, and Integral Inequalities, Inverse Function Theorem, Implicit Function Theorem and Lagrange Multipliers, Multivariable Integration and Vector Calculus
Author(s): Itay Neeman
99 Pages
A Story of Real Analysis How We Got From There To Here
This note covers the following topics: Numbers, Real (R) and Rational (Q), Calculus in the 17th and 18th Centuries, Power Series, Convergence of Sequences and Series, The Taylor Series, Continuity, Intermediate and Extreme Values, From Fourier Series back to the Real Numbers.
Author(s): Robert Rogers and Eugene Boman
144 Pages
Spaces An Introduction to Real Analysis
This note explains the following topics: Preliminaries: Proofs, Sets, and Functions, The Foundation of Calculus, Metric Spaces, Spaces of Continuous Functions, Modes of continuity, Applications to differential equations, Applications to power series.
Author(s): Tom L. Lindstrom
148 Pages
Real Analysis Notes by Prof. Sizwe Mabizela
This note explains the following topics: Logic and Methods of Proof, Sets and Functions , Real Numbers and their Properties, Limits and Continuity, Riemann Integration, Introduction to Metric Spaces.
Author(s): Prof. Sizwe Mabizela
120 Pages
This note covers the following topics: Topology Preliminaries, Elements of Functional Analysis, Measure Theory, Integration Theory, Product Spaces, Analysis On Locally Compact Spaces, Introduction to Harmonic Analysis.
Author(s): Gabriel Nagy
NA Pages
The subject of real analysis is concerned with studying the behavior and properties of functions, sequences, and sets on the real number line, which we denote as the mathematically familiar R. This note explains the following topics: Continuous Functions on Intervals, Bolzano’s Intermediate Value Theorem, Uniform Continuity, The Riemann Integrals, Fundamental Theorems Of Calculus, Pointwise and Uniform Convergence, Uniform Convergence and Continuity, Series Of Functions, Improper Integrals of First Kind, Beta and Gamma Functions.
Author(s): Nandakumar, University of Calicut
145 Pages
Introduction to Real Analysis I
This note explains the following topics: Real Numbers, Sequences, Series, The Topology of R, Limits of Functions, Differentiation, Integration, Sequences of Functions and Fourier Series.
Author(s): Lee Larson
NA Pages
This is a lecture notes on Distributions (without locally convex spaces), very basic Functional Analysis, Lp spaces, Sobolev Spaces, Bounded Operators, Spectral theory for Compact Self adjoint Operators and the Fourier Transform.
Author(s): Sigurd Angenent
107 Pages
A Radical Approach to Real Analysis (2nd edition)
This note covers the following topics: Crises in Mathematics: Fourier's Series, Infinite Summations, Differentiability and Continuity, The Convergence of Infinite Series, Understanding Infinite Series, Return to Fourier Series and Explorations of the Infinite.
Author(s): Macalester College
NA Pages
Real Analysis Advanced Calculus
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
This note covers the following topics: Metrics and norms, Convergence , Open Sets and Closed Sets, Continuity , Completeness , Connectedness , Compactness , Integration , Definition and basic properties of integrals, Integrals depending on a parameter.
Author(s): Yu. Safarov
31 Pages
Real Variables with Basic Metric Space Topology
This is a text in elementary real analysis. Topics covered includes: Upper and Lower Limits of Sequences of Real Numbers, Continuous Functions, Differentiation, Riemann-Stieltjes Integration, Unifom Convergence and Applications, Topological Results and Epilogue.
Author(s): Robert B. Ash
217 Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Theory of Functions of Real Variable
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
General Topology and Real Analysis
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Author(s): NA
NA Pages
IRA Interactive Real Analysis(Wachsmuth B.G)
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Author(s): NA
NA PagesAdvertisement
