Vivi Rottschäfer presents a mathematical model that studies the processes governing the concentration profile of drugs in the brain.
Although the format of an academic paper is confining, there is still plenty of scope for writing it your own way.
Researchers developed a simple math model for simultaneous spatially-coordinated and synchronous behavior.
Woody plant expansion into grasslands and savannas, which is accelerating worldwide, often affects ecosystem processes.
A reservoir computer is a recurrent artificial neural network for processing time-dependent information.
Bonita Saunders gives an inspiring account of her road to a career as a research mathematician at the NIST.
Project Jupyter offers tools—from interactive exploration to publication and communication of results—for the life cycle of a computational idea.
The Software Sustainability Institute is enhancing research software in academia with a new, unique career track.
James Case reviews "Scale" by Geoffrey West, who applies math laws to the bio, political, and corporate realms.
The SIAM Committee on Science Policy meets twice a year to review the society’s science policy priorities and engage with federal agency leaders.
Mark Levi presents a "Mathematical Curiosity" that arose from rolling a shopping cart's wheel around a floor tile.
Scott N. Armstrong and Charles K. Smart were awarded the 2017 SIAM/APDE Prize at PD17 for their 2016 paper.
During his invited talk at AN18, Robert V. Kohn will discuss patterns in the wrinkling and folding of thin elastic sheets.
Jelani Nelson will discuss dimensionality reduction from the viewpoint of low-distortion embeddings at AN18.
2018 / xviii + 169 pages / Softcover / ISBN 978-1-611975-17-8 / List Price $59.00 / SIAM Member Price $41.30 / Order Code: CB91
Keywords: evolutionary game theory, voting theory, game theory, reductionist approach, invisible hand
The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. "Change," for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches.
These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the "wrong" person could win), nonparametric statistical, and economic "supply and demand" properties.
This book is intended for graduate students and researchers who are interested in learning about new mathematics of the social and behavioral sciences and for instructors who wish to develop appropriate undergraduate and graduate level courses.
About the Author
Donald G. Saari, a member of the National Academy of Sciences, is the Distinguished Professor of Mathematics and Economics and director of the Institute for Mathematical Behavioral Sciences at the University of California, Irvine. His research interests include the Newtonian N-body problem, the analysis of voting systems, and application of mathematics to the social and behavioral sciences.