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\newpage
-\tableofcontents
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\chapter*{Preface}
This is intended to be a study guide for a number of classes I have taken. I attempt to cover all the topics listed for these in the syllabi at the universities where I took them (University of North Carolina Charlotte and University of South Carolina), although they are not necessarily presented in the same way. For example, I present topology before analysis and then cite a lot of facts from topology, even though a first-year course in analysis usually does not require such a long detour.
@@ -57,6 +55,8 @@ Throughout this text, $\mathbb{N}$ denotes the non-negative integers, and $\math
It is not necessary to read the chapters in order. Each section begins with a list of other sections that should be read first. Sections without prerequisites are intended to be readable by students in their first year of a graduate mathematics program.
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\mainmatter
\pagestyle{headings}