Elementary Number Theory, Group Theory and Ramanujan Graphs


Elementary Number Theory, Group Theory and Ramanujan Graphs

This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.


 Reviews:

"It would make a great text for an honors or senior seminar, showing how elegantly many different areas of mathematics come together to solve a very concrete problem of broad interest and application." Mathematical Reviews

"...a well written and stimulating book." MAA Online Book Review

No references available.