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Real Analysis Part I
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 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 Theodore Kilgore
This note explains the following topics: Integers and Rational Numbers, Building the real numbers, Series, Topological concepts, Functions, limits, and continuity, Cardinality, Representations of the real numbers, The Derivative and the Riemann Integral, Vector and Function Spaces, Finite Taylor-Maclaurin expansions, Integrals on Rectangles.
Author(s): Theodore Kilgor
352 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
Real Analysis by Dr. Maria Cristina Pereyra
This text is evolved from authors lecture notes on the subject, and thus is very much oriented towards a pedagogical perspective; much of the key material is contained inside exercises, and in many cases author chosen to give a lengthy and tedious, but instructive, proof instead of a slick abstract proof. Topics covered includes: The natural numbers, Set theory, Integers and rationals, The real numbers, Limits of sequences, Series, Infinite sets, Continuous functions on R, Differentiation of functions, The Riemann integral, the decimal system and basics of mathematical logic.
Author(s): Dr. Maria Cristina Pereyra
171 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
Introduction to Real Analysis (William F. Trench PDF 583P)
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Topics covered includes: Real Numbers, Differential Calculus of Functions of One Variable, Integral Calculus of Functions of One Variable, Infinite Sequences and Series, Vector-Valued Functions of Several Variables, Integrals of Functions of Several Variables and Metric Spaces.
Author(s): William F. Trench
583 Pages
This note explains the following topics: Set Theory and the Real Numbers, Lebesgue Measurable Sets, Measurable Functions, Integration, Differentiation and Integration, The Classical Banach Spaces, Baire Category, General Topology, Banach Spaces, Fourier Series, Harmonic Analysis on R and S and General Measure Theory.
Author(s): Curtis T McMullen
140 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
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Real Analysis/Advanced Calculus(Santos D pdf)
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
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Real Analysis An Introduction(Wilde I.F)
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Author(s): NA
NA PagesAdvertisement
