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Real Analysis Notes by Manonmaniam Sundaranar University
This note explains the following topics: Basic topology, Series, Continuity and Differentiation, The Riemann–Steiltjes integral and Sequences and series of function, Uniform Convergence and differentiation.
Author(s): Manonmaniam Sundaranar University
139 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
Introduction to Real Analysis by Liviu I. Nicolaescu
This note covers the following topics: mathematical reasoning, The Real Number System, Special classes of real numbers, Limits of sequences, Limits of functions, Continuity, Differential calculus, Applications of differential calculus, Integral calculus, Complex numbers and some of their applications, The geometry and topology of Euclidean spaces, Continuity, Multi-variable differential calculus, Applications of multi-variable differential calculus, Multidimensional Riemann integration, Integration over submanifolds.
Author(s): Liviu I. Nicolaescu
696 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
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
Basic Analysis Introduction to Real Analysis
This book is a one semester course in basic analysis.It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school but also as a more advanced one-semester course that also covers topics such as metric spaces. Topics covered includes: Real Numbers, Sequences and Series, Continuous Functions, The Derivative, The Riemann Integral, Sequences of Functions and Metric Spaces.
Author(s): Jiri Lebl
243 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
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
This note covers the following topics: Mathematical proof, Sets, Relations, Functions, Dynamical Systems, Functions, Cardinal Number, Ordered sets and completeness, Metric spaces, Vector lattices, Measurable functions, Fubini’s theorem and Probability.
Author(s): William G. Faris
150 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 Pages
Real Analysis An Introduction(Wilde I.F)
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Author(s): NA
NA PagesAdvertisement
