Transition to analysis with proof
Author(s)
Bibliographic Information
Transition to analysis with proof
（Textbooks in mathematics）（A Chapman & Hall book）
CRC Press, c2018
- : pbk
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Note
Includes bibliographical references (p. 339-340) and index
Description and Table of Contents
Description
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.
The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.
Combines the author's previous works Elements of Advanced Mathematics with Foundations of Analysis
Combines logic, set theory and other elements with a one-semester introduction to analysis.
Author is a well-known mathematics educator and researcher
Targets a trend to combine two courses into one
Table of Contents
- 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
by "Nielsen BookData"
