This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.
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<P><STRONG><EM>Elementary Number Theory</EM></STRONG>, Gove Effinger, Gary L. Mullen</P><P></P><P>This text is intended to be used as an undergraduate introduction to the theory of numbers. The...
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<p><span>The book is based on lecture notes of a course "from elementary number theory to an introduction to matrix theory" given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate...
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<p><b><em>Elementary Number Theory,</em> 6th Edition</b>, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps...
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In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles'...
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