"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