Books in the Interdisciplinary Applied Mathematics series

Emphasizing kinematics and mechanics of growth, this book presents the state of knowledge in morpho-elasticity, providing a rigorous foundation and offering a set of mathematical tools for the analysis of specific problems arising in biology.

This book investigates the mathematical analysis of biological invasions. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes.

An Accelerated Course with Applications in Computational Sciences and Engineering

This monograph describes and discusses the properties of heterogeneous materials, including conductivity, elastic moduli, and dielectrical constant. This multidisciplinary book will appeal to applied physicists, materials scientists, chemical and mechanical engineers, chemists, and applied mathematicians.

This book offers a comprehensive reference to the mathematical modeling of environmental and geophysical problems. It provides an abundance of mathematical models, both simple and complex, and elaborates them with approximation techniques.

Written by a specialist in geophysical fluid dynamics and an applied mathematician, this book provides an accessible introduction to new methods for analysing Lagrangian motion in geophysical flows, and surveys research in geophysical fluid dynamics that makes use of them.

This book provides an introduction into physiology using the tools and perspectives of mathematical modeling and analysis. It contains a variety of physiological problems and the current and new mathematical techniques used in this area.

Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others.

This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences.

Here is a comprehensive review of the fundamental conditions for optimality for finite-dimensional, deterministic, optimal control problems. Includes worked examples ranging from minimum surfaces of revolution to cancer treatment for novel therapy approaches.

This book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control.

Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.