Includes bibliographical references and index.

Introduction to network theory -- General concepts in network theory -- How to prove it -- Data analysis and manipulation -- Algebraic concepts in network theory -- Spectra of adjacency matrices -- The network Laplacian -- Classical physics analogies -- Degree distributions -- Clustering coefficients of networks -- Random models of networks -- Matrix functions -- Fragment-based measures -- Classical node centrality -- Spectral node centrality -- Quantum physics analogies -- Global properties of networks I -- Global properties of networks II -- Communicability in networks -- Statistical physics analogies -- Communities in networks.