'This book is a must-read for students and researchers in brain network analysis. It is unique across many fronts. First, it weaves together the important background material in statistics, computational mathematics and algebraic topology. Second, it accomplishes the dual role of a research monograph and a textbook reference. The author, an expert in this field, conveys his enthusiasm for brain network analysis and lays down the most essential mathematical and statistical foundations for future advances.' Hernando Ombao, King Abdullah University of Science and Technology, Saudi Arabia
1. Statistical preliminary; 2. Brain network nodes and edges; 3. Graph theory; 4. Correlation networks; 5. Big brain network data; 6. Network simulations; 7. Persistent homology; 8. Diffusion on graphs; 9. Sparse networks; 10. Brain network distances; 11. Combinatorial inference for networks; 12. Series expansion of connectivity matrices; 13. Dynamic network models.