This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is inc…
T-type calcium channels are prevalent in every organ of the body, and are believed to play a part in a variety of physiological processes, including contraction, shape change, secretion, endo- and exocytosis, cell proliferation and differentiation, modulation of enzyme function, and cell cycle progression. As such, research on the roles of these channels in a wide range of diseases has attracte…
In addition to its further exploration of the subject of peacocks, introduced in recent Séminaires de Probabilités, this volume continues the series’ focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices. Also included are some particularly interesting articles involving harmonic measures, random fields and loop soups. The featur…
This book describes the mathematical underpinnings of algorithms used for molecular dynamics simulation, including both deterministic and stochastic numerical methods. Molecular dynamics is one of the most versatile and powerful methods of modern computational science and engineering and is used widely in chemistry, physics, materials science and biology. Understanding the foundations of numeri…
This book constitutes the refereed proceedings of the 30th Euro Mini-Conference, EmC-ONS 2014, held in Aveiro, Portugal, in February 2014. The 13 revised full papers presented were carefully reviewed and selected from 70 submissions. The papers are organized in topical sections on dynamical systems; optimization and applications; modeling and statistical techniques for data analysis.
This collection of articles begins with an overview of the Reviews from past decades, then goes on to describe the current practices, and foretells the possible future developments. This is followed by a discussion of the use of ICT and surveys on several professional aspects of teaching, including teachers’ training needs and perception of student difficulties, assessment literacy, familiari…
Pebbles are usually found only on the beach, in the liminal space between land and sea. But what happens when pebbles extend inland and create a ridge brushing against the sky? Landscape in the Longue Durée is a 4,000 year history of pebbles. It is based on the results of a four-year archaeological research project of the east Devon Pebblebed heathlands, a fascinating and geologically unique l…
This multidisciplinary resource develops topics of interest to all those who care about and for individuals with co-occurring intellectual disabilities and mental illness. Each chapter presents current evidence informed practice knowledge. Each topic is also presented with audio enabled text boxes emphasizing 'Key Points for Caregivers.' For those who are interested in background knowledge, we …
This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics…
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions …