Transition to Analysis with Proof

Transition to Analysis with Proof

Krantz, Steven

Taylor & Francis Ltd

11/2017

348

Dura

Inglês

9781138064140

15 a 20 dias

830

Descrição não disponível.
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
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Open Interval;Analysis;Continuous Function;Proof;Rational;Logic;Real Numbers;Sets;Partial Sums;Integral;Cauchy Sequence;Steven G. Krantz;Truth Table;Riemann Integrable;Compact Set;Bolzano Weierstrass Theorem;Dirichlet Function;Natural Numbers;Differentiable Functions;Entire Real Line;Pairwise Disjoint;Cantor Set;Closed Interval;Riemann Sum;Weierstrass Approximation Theorem;Riemann Integrable Function;Weierstrass's Theorem;Power Series;Real Analytic Function;Logically Equivalent;Modus Ponendo Ponens