Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contri…
The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another. The focus is above all on the Peninsula’s influence on French mathematicians, counterbalancing the historically predominant perception that French mathematics was a model for Italian mathem…
Studies in human patients and animal models of disease suggest a strong correlation between defects in dendrite development and common neurological disorders such as autism. Much of this book is thus dedicated toward highlighting recent advances in our understanding of the cellular and molecular mechanisms that regulate the development and maintenance of dendrites, a crucial component of neuron…
This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate. Each method …
In this book, the authors discuss the biophysical characteristics of Dendritic cells (DCs) at various differentiation stages and in tumor microenvironments in detail. A type of Chinese traditional herb, which can improve the biophysical and microrheological properties of DCs, is also introduced. DCs are potent and specialized antigen-presenting cells that play a crucial role in initiating and a…
This collection challenges the popular but abstract concept of nudging, demonstrating the real-world application of behavioral economics in policy-making and technology. Groundbreaking and practical, it considers the existing political incentives and regulatory institutions that shape the environment in which behavioral policy-making occurs, as well as alternatives to government nudges already …
This volume describes chemical approaches to assess ion channel structure, function and pharmacology. Topics discussed include the use of engineered ionizable side chains to obtain information on permeation pathways and the local environment; the modification of engineered cysteine side chains, including cysteine scanning mutagenesis and the attachment of fluorescent probes and bio-reactive tet…
The legal definition of child pornography is, at best, unclear. In part because of this ambiguity and in part because of the nature of the crime itself, the prosecution and sentencing of perpetrators, the protection of and restitution for victims, and the means for preventing repeat offenses are deeply controversial. In an effort to clarify the questions and begin to formulate answers, in this …
The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using num…
Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current research on the subject, which is an extremely active field in physics and mathematical physics, with a very broad range of implications, both for f…