NAS Press, 2012. - 66 pagesISBN: 0309254736 9780309254731Prepared as part of the study on the Mathematical Sciences in 2025, this issue presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment.The book will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.ContentsIntroduction
Compressed Sensing: Through the Kaleidoscope
Eigenvectors: From the Mathematical Sciences to . . . an IPO
Mathematical Simulations: When the Lab Isn’t Big Enough
Mathematical Sciences Inside . . . Tsunamis
Bayesian Inference: Not an Enigma Anymore
Diffusion Tensor Imaging: A New View of the Brain
Fast Multipole Method: A Long-Term Payoff
Mathematical Sciences Inside . . . the Battlefield
Cellular Automata: Sublimely Complex
Graph Spectra: Sparsest Cuts in Minimum Time
Bioinformatics: Interpreting the Human Genome
Geometry and Physics: Endlessly Intertwined
Probability and Statistical Physics: Connecting Microscopic and Macroscopic
Mathematical Sciences Inside . . . Inventions
