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Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction
This book grew out of the discussions and presentations that began during the Workshop on Emerging and Reemerging Diseases (May 17-21, 1999) sponsored by the Institute for Mathematics and its Application (IMA) at the University of Minnesota with the support of NIH and NSF. The workshop started with a two-day tutorial session directed at ecologists, epidemiologists, immunologists, mathematicians, and scientists interested in the study of disease dynamics. The core of this first volume, Volume 125, covers tutorial and research contributions on the use of dynamical systems (deterministic discrete, delay, PDEs, and ODEs models) and stochastic models in disease dynamics. The volume includes the study of cancer, HIV, pertussis, and tuberculosis. Beginning graduate students in applied mathematics, scientists in the natural, social, or health sciences or mathematicians who want to enter the fields of mathematical and theoretical epidemiology will find this book useful.
Maker Literacies for Academic Libraries
Melding universities’ strategic goals with libraries’ teaching and learning mission, the academic library makerspace can be a powerful catalyst for information literacy, offering faculty partners a place for interdisciplinary, experiential learning. If you’re pondering what it takes to get your makerspace into the curriculum, this volume’s relatable, first-hand accounts from librarians, makerspace staff, and faculty partners will give you the confidence to make the leap. Contributors, drawn from the IMLS-funded Maker Literacies project, describe pilots and assessment for a variety of demographics, course subjects, and makerspace equipment. Guided by their experiences, you’ll be rea...
Dynamical Systems for Biological Modeling
Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa
The Science of Higher Education
Perennial conclusions from state-by-state funding-per-student analyses of underfunding and weak state commitment have become so common that they have diluted the potency of the argument to state policymakers for more higher education funding. In addition, there has been little in the way of testing or questioning the assumptions embedded in traditional funding per student analysis and its accompanying conclusions.As state legislators balance the competing needs of education, health, transportation, and public safety budgets, they increasingly ask what return on investment (ROI) they get for the funding they provide, including from higher education. The ROI language, while potentially unsettl...
Mathematical Models in Population Biology and Epidemiology
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Doctoral Education and the Faculty of the Future
American colleges and universities simultaneously face large numbers of faculty retirements and expanding enrollments. Budget constraints have led colleges and universities to substitute part-time and full-time non-tenure-track faculty for tenure-track faculty, and the demand for faculty members will likely be high in the decade ahead. This heightened demand is coming at a time when the share of American college graduates who go on for PhD study is far below its historic high. The declining interest of American students in doctoral programs is due to many factors, including long completion times, low completion rates, the high cost of doctoral education, and the decline in the share of facul...
Mathematical Puzzles
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. This Revised Edition has been thoroughly edited to correct errors and provide clarifications, and includes some totally different solutions, modified puzzles, and one entirely new puzzle. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.
Handbook of Peridynamic Modeling
This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a reformulation of continuum mechanics based on integration of interactions rather than spatial differentiation of displacements. The book extends the classical theory of continuum mechanics to allow unguided modeling of crack propagation/fracture in brittle, quasi-brittle, and ductile materials; autonomous transition from continuous damage/fragmentation to fracture; modeling of long-range forces within a continuous body; and multiscale coupling in a consistent mathematical framework.
An Introduction to Undergraduate Research in Computational and Mathematical Biology
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in ...
Advances in Data Science
This volume highlights recent advances in data science, including image processing and enhancement on large data, shape analysis and geometry processing in 2D/3D, exploration and understanding of neural networks, and extensions to atypical data types such as social and biological signals. The contributions are based on discussions from two workshops under Association for Women in Mathematics (AWM), namely the second Women in Data Science and Mathematics (WiSDM) Research Collaboration Workshop that took place between July 29 and August 2, 2019 at the Institute for Computational and Experimental Research in Mathematics (ICERM) in Providence, Rhode Island, and the third Women in Shape (WiSh) Re...
