This is an introductory text for graduate students, or anyone using the theory of graph spectra, that assumes only a little knowledge of graph theory and linear algebra. The authors include developments in the field, exercises, spectral data, detailed proofs and an extensive bibliography.

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Dragoš Cvetković is Professor in the Mathematical Institute at the Serbian Academy of Sciences and Arts, Belgrade.

Peter Rowlinson is Emeritus Professor of Mathematics in the Department of Computing Science and Mathematics at the University of Stirling.

Slobodan Simić is Full Research Professor in the Mathematical Institute at the Serbian Academy of Sciences and Arts, Belgrade.

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