Real and Complex Analysis, by C. Apelian and S. Surace, now published December 19, 2009Posted by Akhil Mathew in analysis, General, math education.
Tags: Christopher Apelian, Real and Complex Analysis, Steve Surace
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(This material is reposted from here.)
The book Real and Complex Analysis, by Christopher Apelian and Steve Surace, was recently released.
It’s mainly for an introductory upper-level undergraduate course in real and complex analysis, especially at small liberal-arts colleges. In this post, I’ll describe this book and how I was involved in its production.
At the start of my freshman year, my analysis teacher, Professor Surace, asked me to check over the drafts of a book he and his colleague (and my former teacher) Prof. Apelian were working on. It was the textbook for the course. At the time, if I remember correctly, there were six chapters: on the real and complex spaces, basic topology, limits, continuity, convergence of functions, and derivatives. The complex analysis part of the book was in its infancy (e.g., there was only a rudimentary outline of one chapter, which had been written some time back and was typeset in Word—they wrote it well before before they had switched to LaTeX). (more…)