Elementary Number Theory, Group Theory and Ramanujan Graphs

By addebook • Jul 14th, 2008 • Category: Mathematics •

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Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts)

Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts)
By Giuliana Davidoff, Peter Sarnak, Alain Valette

Publisher: Cambridge University Press
Number Of Pages: 154
Publication Date: 2003-01-27
ISBN-10 / ASIN: 0521824265
ISBN-13 / EAN: 9780521824262
Binding: Hardcover

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.

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Older draft (in case someone is interested!!) was posted by hksonngan, 736 days ago

http://www2.unine.ch/webdav/site/math/shared/documents/articles/valette22-04-02.pdf