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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
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
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
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
This note is an activity-oriented companion to the study of real analysis. It is intended as a pedagogical companion for the beginner, an introduction to some of the main ideas in real analysis, a compendium of problems, are useful in learning the subject, and an annotated reading or reference list. Topics covered includes: Sets, Functions, Cardinality, Groups, Vector Spaces, And Algebras, Partially Ordered Sets, The Real Numbers, Sequences And Indexed Families, Categories, Ordered Vector Spaces, Topological Spaces, Continuity And Weak Topologies, Normed Linear Spaces, Differentiation, Complete Metric Spaces, Algebras And Lattices Of Continuous Functions.
Author(s): John M. Erdman
265 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
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
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
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
Theory of Functions of Real Variable
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Author(s): NA
NA Pages
Real Analysis/Advanced Calculus(Santos D pdf)
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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
