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%TCIDATA{<META NAME="Title" CONTENT="Applied Modern Algebra">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 16:55:43 1997}
%TCIDATA{Language=American English}
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\begin{document}


\section{Applied Modern Algebra}

\subsubsection{Solving Equations}

\hyperref{+ Integer Solutions}{}{}{DM12-1.tex#Integer solutions}

\hyperref{+ Recursive Solutions}{}{}{DM12-1.tex#Recursive definitions}

\subsubsection{Integers Modulo m}

\hyperref{+ Congruence Modulo m}{}{}{DM12-2.tex#Integers modulo m}

\hyperref{+ Multiplication Tables Modulo \hyperref{m}{}{}{}}{}{}{%
DM12-2.tex#Multiplication table mod m}

\hyperref{+ Inverses Modulo m}{}{}{DM12-2.tex#Inverse modulo m}

\hyperref{+ Solving congruences Modulo m}{}{}{DM12-2.tex#Solving congruences}

\hyperref{+ Pairs of Linear Congruences}{}{}{DM12-2.tex#Pairs of congruences}

\hyperref{+ Systems of Linear congruences}{}{}{DM12-2.tex#Systems of
congruences}

\hyperref{+ Extended Precision Arithmetic}{}{}{DM12-2.tex#Extended precision
arithmetic}

\hyperref{+ Powers Modulo m}{}{}{DM12-2.tex#Powers modulo m}

\hyperref{+ Generating Large Primes}{}{}{DM12-2.tex#Large primes}

\subsubsection{Other Systems Modulo m}

\hyperref{+ Matrices Modulo m}{}{}{DM12-3.tex#Matrices modulo m}

\hyperref{+ Polynomials Modulo m}{}{}{DM12-3.tex#Polynomials modulo m}

\subsubsection{Polynomials Modulo Polynomials}

\hyperref{+ Congruence Modulo Polynomials}{}{}{DM12-4.tex#Polynomials modulo
polynomials}

\hyperref{+ Greatest Common Divisor of Polynomials}{}{}{DM12-4.tex#gcd,
polynomials}

\hyperref{+ Multiplicity of Roots of Polynomials}{}{}{DM12-4.tex#Multiple
roots}

\hyperref{+ The Galois Field GF$_{p^{n}}$}{}{}{DM12-4.tex#Irreducible
polynomial}

\subsubsection{Linear Programming}

\hyperref{+ The Simplex Algorithm}{}{}{DM12-5.tex#Linear programming}

\hyperref{+ Feasible Systems}{}{}{DM12-5.tex#Feasible system}

\hyperref{+ Standard Form}{}{}{DM12-5.tex#Standard form}

\hyperref{+ The Dual of a Linear Program}{}{}{DM12-5.tex#Dual of a linear
program}

\subsubsection{Sample Problems}

\hyperref{+ Exercises}{}{}{DM12-6.tex#Exercises}

\hyperref{+ Solutions}{}{}{DM12-6.tex#Solutions}

\end{document}
