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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
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 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
Real Analysis Guru Jambheshwar University
This note covers the following topics: Sequences and Series of Functions, Uniform Convergence, Power series, Linear transformations, Functions of several variables, Jacobians and extreme value problems, The Riemann-Stieltjes integrals, Measure Theory.
Author(s): Guru Jambheshwar University of Science and Technology, Hisar
132 Pages
An Introduction to Real Analysis
These lecture notes are an introduction to undergraduate real analysis. They cover the real numbers and one-variable calculus.
Author(s): John K. Hunter
269 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
Notes in Introductory Real Analysis
This note covers the following topics related to Real Analysis: Ordered Fields and the Real Number System, Integration, The Extended Real Line and its Topology.
Author(s): Ambar N. Sengupta
123 Pages
Real Analysis Advanced Calculus
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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
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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
