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How we got from there to here : a story of real analysis

Author: Robert R Rogers; Eugene Boman; Open SUNY Textbooks,
Publisher: Geneseo, NY : Published by Open SUNY Textbooks, Milne Library, State University of New York at Geneseo, 2014.
Edition/Format:   eBook : Document : State or province government publication : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked  Read more...
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Genre/Form: eBooks (www)
Electronic books
Textbooks
Material Type: Document, Government publication, State or province government publication, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert R Rogers; Eugene Boman; Open SUNY Textbooks,
OCLC Number: 880721663
Description: 1 online resource (198 pages) : illustrations, portraits (some color) ; digital files (PDF or EPUB).
Contents: Three lessons before we begin --
Numbers real (R) and rational (Q) --
Calculus in the 17th and 18th centuries --
Questions concerning power series --
Joseph Fourier : the man who broke calculus --
Convergence of sequences and series --
Convergence of the Taylor series : a "tayl" of three remainders --
Continuity : what it isn't and what it is --
Intermediate and extreme values --
Back to power series --
Back to the real numbers --
On the nature of numbers --
Building the real numbers.
Responsibility: Robert Rogers, Eugene Boman.
More information:

Abstract:

"This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem"--Provided by publisher.

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