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Understanding Real Analysis
Preface 1 Preliminaries: Numbers, Sets, Proofs, and BoundsNumbers 101: The Very BasicsSets 101: Getting StartedSets 102: The Idea of a FunctionProofs 101: Proofs and Proof-WritingTypes of ProofSets 103: Finite and Infinite Sets; CardinalityNumbers 102: Absolute ValuesBoundsNumbers 103: Completeness2 Sequences and Series SequencesandConvergenceWorkingwithSequencesSubsequencesCauchySequencesSeries 101: Basic IdeasSeries 102: Testing for Convergence and Estimating LimitsLimsupandliminf:AGuidedDiscovery3 Limits and Continuity LimitsofFunctionsContinuous FunctionsWhyContinuityMatters:ValueTheoremsU.
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- "Preface 1 Preliminaries: Numbers, Sets, Proofs, and BoundsNumbers 101: The Very BasicsSets 101: Getting StartedSets 102: The Idea of a FunctionProofs 101: Proofs and Proof-WritingTypes of ProofSets 103: Finite and Infinite Sets; CardinalityNumbers 102: Absolute ValuesBoundsNumbers 103: Completeness2 Sequences and Series SequencesandConvergenceWorkingwithSequencesSubsequencesCauchySequencesSeries 101: Basic IdeasSeries 102: Testing for Convergence and Estimating LimitsLimsupandliminf:AGuidedDiscovery3 Limits and Continuity LimitsofFunctionsContinuous FunctionsWhyContinuityMatters:ValueTheoremsU."@en
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- "Understanding Real Analysis"
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