A Basic Analysis Toolbox
DOI link for A Basic Analysis Toolbox
A Basic Analysis Toolbox book
The purpose of this chapter is to provide you with a succinct, hands-on introduc-
tion to elementary analysis that focuses on notation, main definitions and results,
and the techniques with which you should be comfortable prior to working through
this text. Additional topics will be introduced throughout the text whenever needed.
Little is assumed beyond a working knowledge of the properties of real numbers,
the “freshmen calculus,” and a tolerance for mathematical rigor. Keep in mind that
the presentation is not intended to be a complete exposition of real analysis. You are
encouraged to refer to texts devoted to more comprehensive treatments of analysis
(see [17, 67, 196, 197, 234, 236, 250, 301, 353, 357, 372]).