How We Got from There to Here: A Story of Real Analysis by Boman and Rogers
A Story of Real Analysis - Table of Contents
- 1. Prologue: Three Lessons Before We Begin
- 2. Numbers, Real (R) and Rational (Q)
- 3. Calculus in the 17th and 18th Centuries
- 4. Questions Concerning Power Series
- 5. Joseph Fourier: The Man Who Broke Calculus
- 6. Convergence of Sequences and Series
- 7. A “Tayl” of Three Remainders
- 8. Continuity: What It Isn’t and What It Is
- 9. Intermediate and Extreme Values
- 10. Back to Power Series
- 11. Back to the Real Number
- 12. Epilogues
What You Will Learn in A Story of Real Analysis
How We Got From There to Here: A Story of Real Analysis by Eugene Boman and Robert Rogers presents real analysis through the actual mathematical questions that motivated Cauchy, Lagrange, Abel, and Fourier. Accessing this boman rogers story of real analysis pdf provides students with a natural narrative approach to foundational calculus concepts.
The textbook systematically explores infinite series, power series, uniform convergence, the formal definition of continuity, and integration theory. Studying this complete story of real analysis boman rogers book helps mathematics undergraduates overcome traditional conceptual hurdles by examining how foundational rigor developed historically.
Published as an open-access how we got from there to here real analysis pdf volume, this text includes historical commentary, guided problem sets, and original source perspectives ideal for introductory analysis courses.
Book Details & Specifications
Title:
How We Got from There to Here: A Story of Real Analysis by Boman and Rogers
Publisher:
Lulu.com
Year:
2013
Pages:
220
Type:
PDF
Language:
English
ISBN-10 #:
1312348690
ISBN-13 #:
978-1312348691
License:
CC BY-NC-SA 3.0
Amazon:
Amazon
About the Author: Eugene Boman
The author Eugene Boman
is a Professor of Mathematics at Penn State Harrisburg, and Robert Rogers is a Professor of Mathematics at SUNY Fredonia, both recognized for their innovative contributions to undergraduate mathematics pedagogy.
As co-authors of How We Got From There to Here: A Story of Real Analysis by Eugene Boman and Robert Rogers, they created an open-access textbook that bridges intuitive calculus and rigorous analysis using a historical discovery method.
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