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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
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
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
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
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Author(s): NA
NA 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 Pages
Real Analysis An Introduction(Wilde I.F)
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Author(s): NA
NA Pages
