\documentclass{amsbook}
\usepackage[usenames]{color}
\usepackage{enumerate,setspace}
\usepackage{latexsym, epsfig}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{amsopn}
\usepackage{amsthm}
\usepackage{graphicx}
\usepackage{fancyhdr,lastpage,amsfonts,amsmath, graphics}
\usepackage{pictex}
\usepackage{amscd}
\usepackage{pstricks}

%%Rich's Commands
\newcommand{\Z}{{\mathbb Z}}
\newcommand{\N}{{\mathbb N}}
\newcommand{\CC}{{\overline \C}}
\newcommand{\CR}{{\overline \R}}
\newcommand{\tri}{{\bigtriangleup}}
\newcommand{\f}{{$f(z)=z^2$ }}
\newcommand{\fc}{{$f_c(z)=z^2+c$ }}
%%End Rich's Commands

%%Michael's Commands
\newcommand{\SHO}{S_{\scriptscriptstyle H}^{\scriptscriptstyle O}}
\newcommand{\KHO}{K_{\scriptscriptstyle H}^{\scriptscriptstyle O}}
\newcommand{\SHstar}{S_{\scriptscriptstyle H}^*}
\newcommand{\SH}{S_{\scriptscriptstyle H}}
\newcommand{\KH}{K_{\scriptscriptstyle H}}
\newcommand{\CH}{C_{\scriptscriptstyle H}}
\newcommand{\RO}{R_{\scriptscriptstyle O}}
\newcommand{\bfrac}[2]{\displaystyle \frac{#1}{#2}}
%%End Michael's Commands

%%Beth's Commands
\DeclareMathSymbol{\R}{\mathalpha}{AMSb}{"52}
\DeclareMathSymbol{\C}{\mathalpha}{AMSb}{"43}
\DeclareMathSymbol{\D}{\mathalpha}{AMSb}{"44}
\DeclareMathOperator{\re}{Re}
\DeclareMathOperator{\im}{Im}

\newcommand{\hconv}{\widetilde{*}}
\newcommand{\ol}[1]{~\overline{#1}}
\newcommand{\series}[3]{\displaystyle \sum_{{#1}={#2}}^{#3} }
\newcommand{\psum}[3]{\displaystyle \sum_{{#1}={#2}}^{#3} }
\newcommand{\limit}[2]{\displaystyle \lim_{{#1} \rightarrow {#2}} }
\newcommand{\din}[2]{\displaystyle \int_{#1}^{#2}}
\newcommand{\Int}{\displaystyle \int}
\newcommand{\g}{~\overline{g}}
\newcommand{\z}{~\overline{z}}
\newcommand{\p}{\partial}
\newcommand{\kernel}{Re \left( \bfrac{1+ze^{-it}}{1-ze^{-it}} \right)}
%%COMMANDS THAT BETH ADDED END HERE%%%%%%%%%

\theoremstyle{definition}
\newtheorem{thm}{Theorem}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{dfn}[thm]{Definition}
\newtheorem{exm}[thm]{Example}
\newtheorem{rmk}[thm]{Remark}
\newtheorem{con}[thm]{Conjecture}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{open}[thm]{Open Problem}

\theoremstyle{definition}
\newtheorem{exer}{Exercise}
\newtheorem{explor}[exer]{Exploration}
\newtheorem{lproj}[exer]{Large Project}
\newtheorem{sproj}[exer]{Small Project}

\newcommand{\dtn}{\textbf{DO THIS NOW!}}
%%Use the above command to get the Do This Now!