Description
Book SynopsisThe mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the co
Table of Contents1 Front Matter; 2 Introduction; 3 Compressed Sensing / Through the Kaleidoscope; 4 Eigenvectors / From the Mathematical Sciences to ... an IPO; 5 Mathematical Simulations / When the Lab Isn't Big Enough; 6 Bayesian Inference / Not an Enigma Anymore; 7 Diffusion Tensor Imaging / A New View of the Brain; 8 Fast Multipole Method / A Long-Term Payoff; 9 Cellular Automata / Sublimely Complex; 10 Graph Spectra / Sparsest Cuts in Minimum Time; 11 Bioinformatics / Interpreting the Human Genome; 12 Geometry and Physics / Endlessly Intertwined; 13 Probability and Statistical Physics / Connecting Microscopic and Macroscopic
