جزییات کتاب
Recently the theory of partially ordered groups has been used by analysts, algebraists, topologists and model theorists. This book presents the most important results and topics in the theory with proofs that rely on (and interplay with) other areas of mathematics. It concludes with a list of some unsolved problems for the reader to tackle. In stressing both the special techniques of the discipline and the overlap with other areas of pure mathematics, the book should be of interest to a wide audience in diverse areas of mathematics Simulation-Based Engineering and Science (SBE&S) cuts across disciplines, showing tremendous promise in areas from storm prediction and climate modeling to understanding the brain and the behavior of numerous other complex systems. In this groundbreaking volume, nine distinguished leaders assess the latest research trends, as a result of 52 site visits in Europe and Asia and hundreds of hours of expert interviews, and discuss the implications of their findings for the US government. The authors conclude that while the US remains the quantitative leader in SBE&S research and development, it is very much in danger of losing that edge to Europe and Asia. WETC panel report commissioned by the National Science Foundation. Read more... Introduction (S C Goltzer); Life Sciences and Medicine (L Petzold); Materials Simulation (P T Cummings); Energy and Sustainability (M Shinozuka); Next-Generation Architectures and Algorithms (G E Karniadakis); Software Development (M Head-Gordon); Engineering Simulations (A Deshmukh); Verification, Validation, and Uncertainty Quantification (G E Karniadakis); Multiscale Simulation (P T Cummings); Big Data, Visualization, and Data-Driven Simulations (S Kim); Education and Training (C Saui)