Steven Krantz

Transition to Analysis with Proof (eBook, PDF)

• Format: PDF

Produktbeschreibung

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 362
• Erscheinungstermin: 9. November 2017
• Englisch
• ISBN-13: 9781351662949
• Artikelnr.: 50213618

Autorenporträt

Steven G. Krantz is a professor at Washington University in St. Louis where he teaches mathematics. He received his Ph.D. from Princeton University and since then has taught at UCLA, Princeton University, and Pennsylvania State University. Dr. Krantz has written over 175 scholarly papers and more than 65 books. He is the founding editor of the Journal of Geometric Analysis. He was named a fellow of the American Mathematical Society and has received the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize.

Inhaltsangabe

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