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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:   Print book : State or province government publication : EnglishView all editions and formats
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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Additional Physical Format: Rogers, Robert R.
How we got from there to here.
Geneseo, NY : Published by Open SUNY Textbooks, Milne Library, State University of New York at Geneseo, 2014
(OCoLC)880721663
Material Type: Government publication, State or province government publication
Document Type: Book
All Authors / Contributors: Robert R Rogers; Eugene Boman; Open SUNY Textbooks,
ISBN: 9781312348691 1312348690
OCLC Number: 903663475
Description: 214 pages : illustrations, portraits ; 28 cm
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, State University of New York at Fredonia, Eugene Boman, the Pennsylvania State University, Harrisburg campus.

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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