Elementary Number Theory, Group Theory and Ramanujan Graphs

Giuliana Davidoff (Mount Holyoke College, Massachusetts), Peter Sarnak, Alain Valette (Université de Neuchâtel, Switzerland)

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English

Cambridge University Pres
27 June 2003

Mathematics & Sciences; Groups & group theory; Number theory; Combinatorics & graph theory

Series: London Mathematical Society Student Texts

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. The reader needs only a background in elementary algebra, analysis and combinatorics; the authors supply the necessary background material from graph theory, number theory, group theory and representation theory. The text can therefore be used as a brief introduction to these subjects as well as an illustration of how such topics are synthesised in modern mathematics.

By: Giuliana Davidoff (Mount Holyoke College Massachusetts), Peter Sarnak, Alain Valette (Université de Neuchâtel, Switzerland)
Imprint: Cambridge University Pres
Country of Publication: United Kingdom
Volume: No.55
Dimensions: Height: 240mm, Width: 149mm, Spine: 11mm
Weight: 220g
ISBN: 9780521531436
ISBN 10: 0521531438
Series: London Mathematical Society Student Texts
Pages: 156
Publication Date: 27 June 2003
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

An overview; 1. Graph theory; 2. Number theory; 3. PSL2(q); 4. The graphs Xp,q; Appendix A. 4-regular graphs with large girth; Index; Bibliography.

Reviews for Elementary Number Theory, Group Theory and Ramanujan Graphs

'The book under review is an attractively written excellent text which successfully bridges the gap between undergraduate instruction and current research. Hence it is very well suited to bring a fresh breeze into the classroom. The reviewer warmly recommends this text to any lecturer looking for an attractive theme and to everybody else for great supplementary reading. Of course, this book should not be missed in any institutional library.' Zentralblatt MATH 'A light touch and the inclusion of some unexpected results make the book a pleasure to read.' Mathematika