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Author Rogers, Robert R., author.

Title How we got from there to here : a story of real analysis / Robert Rogers, Eugene Boman.

Publication Info. Geneseo, NY : Published by Open SUNY Textbooks, Milne Library, State University of New York at Geneseo, 2014-
Minneapolis : Open Textbook Library
©2014-

Copies

Location Call No. Status
 University of Saint Joseph: Pope Pius XII Library - Internet  WORLD WIDE WEB E-BOOK OpenTextbook    Downloadable
Please click here to access this OpenTextbook resource
Description 1 online resource : illustrations, portraits (some color).
Current Frequency Updated irregularly.
Description data file rda
Series Open textbook library
Open Textbook Library.
Note "This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License."--Title page verso.
Bibliography Includes bibliographical references and index.
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.
Summary "This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context."--Open Textbook Library.
System Details Mode of access: World Wide Web.
Note This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license.
Online version, 2014; title from PDF (viewed on July 19, 2016).
Local Note Promoted: Local to Global Cooperative Open Textbook Library
Subject Functions of real variables -- Textbooks.
Mathematical analysis -- Textbooks.
Calculus -- Textbooks.
Calculus. (OCoLC)fst00844119
Functions of real variables. (OCoLC)fst00936120
Mathematical analysis. (OCoLC)fst01012068
Genre/Form Textbooks. (OCoLC)fst01423863
Textbooks.
Added Author Boman, Eugene, author.
Open SUNY Textbooks, publisher.
ISBN 97813123438691 (ebook)
9780989722667 (print)
098972266X (print)
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