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Transition to analysis with proof

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Author(s): Krantz, Steven George
Series: Textbooks in mathematics (Boca Raton Fla.)
Publisher: CRC Press
Year: 2018

Language: English
Pages: 347
Tags: Proof theory -- Textbooks.;Mathematical analysis -- Textbooks.;Mathematical analysis.;Proof theory.;Analysis;Beweistheorie

Content: Chapter 1 Basic Logic
Chapter 2 Methods of Proof
Chapter 3 Set TheoryChapter 4 Relations and Functions
Chapter 5 Essential Number Systems Chapter 6 Sequences
Chapter 7 Series of Numbers
Chapter 8 Basic Topology Open and Closed Sets
Chapter 9 Limits and Continuity of Functions
Chapter 10 Differentiation of Functions
Chapter 11 The Integral
APPENDIX: Construction of The Weierstrass Nowhere Differentiable Function
Chapter 12 Sequences and Series of Functions
APPENDIX: Proof of the Weierstrass Approximation Theorem
Chapter 13 Elementary Transcendental Functions APPENDIX I Elementary Number Systems Table NotationGlossary Bibliography, Index