• Front Matter R1-R6

• Introduction 1-2

• Compressed Sensing / Through the Kaleidoscope 3-6

• Eigenvectors / From the Mathematical Sciences to . . . an IPO 7-10

• Mathematical Simulations / When the Lab Isn't Big Enough 11-19

• Bayesian Inference / Not an Enigma Anymore 20-23

• Diffusion Tensor Imaging / A New View of the Brain 24-28

• Fast Multipole Method / A Long-Term Payoff 29-35

• Cellular Automata / Sublimely Complex 36-39

• Graph Spectra / Sparsest Cuts in Minimum Time 40-43

• Bioinformatics / Interpreting the Human Genome 44-48

• Geometry and Physics / Endlessly Intertwined 49-52

• Probability and Statistical Physics / Connecting Microscopic and Macroscopic 53-58

" Eigenvectors / From the Mathematical Sciences to . . . an IPO ." Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century . Washington, DC: The National Academies Press, 2012 .

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