Applied mathematics

This textbook focuses on the cohort change ratio (CCR) method.

To find "e;criteria of simplicity"e; was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris.

This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework.

Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems.

This book uses the Lagrangian approach, especially useful and convenient for studying large-scale transport and mixing in the ocean, to present a detailed view of ocean circulation.

Analytical Finance is a comprehensive introduction to the financial engineering of equity and interest rate instruments for financial markets.

This book presents a unique collection of contributions from some of the foremost scholars in the field of risk and reliability analysis.

This updated and revised first-course textbook in applied probability provides a contemporary and lively post-calculus introduction to the subject of probability.

This book draws on the author's professional experience and expertise in humid and arid regions to familiarize readers with the basic scientific philosophy and methods regarding floods and their impacts on human life and property.

This textbook takes a strategic approach to the broad-reaching subject of experimental design by identifying the objectives behind an experiment and teaching practical considerations that govern design and implementation, concepts that serve as the basis for the analytical techniques covered.

This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians-a textbook for courses in probability for students in mathematical statistics.

Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting a chapter to Bessel processes, and moves on to function-valued solutions to SPDEs.

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics.

The book collects the most relevant results from the INdAM Workshop "e;Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics"e; held in Rome, September 14-18, 2015.

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications.

This book describes a novel methodology for studying algorithmic skills, intended as cognitive activities related to rule-based symbolic transformation, and argues that some human computational abilities may be interpreted and analyzed as genuine examples of extended cognition.

Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial  structure of complicated systems.

This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics.

This book reports on the latest advances in and applications of memristors, memristive devices and systems.

This book tackles the challenging question which mathematical formalisms and possibly new physical notions should be developed for quantitatively describing human cognition and behavior, in addition to the ones already developed in the physical and cognitive sciences.

This book introduces the Eora, Global Trade Analysis Project (GTAP) and World Input-Output (WIOD) databases and provides detailed metadata on the data sources, database structures and construction techniques used to build each system.

Mathematical methods and theories with interdisciplinary applications are presented in this book.

This book gathers contributions presented at the 9th Workshop on Cyclostationary Systems and Their Applications, held in Grodek nad Dunajcem, Poland in February 2016.

The second edition of this textbook provides a fully updated approach to fuzzy sets and systems that can model uncertainty - i.

This volume collects authoritative contributions on analytical methods and mathematical statistics.

The book surveys the state-of-the-art methods that are currently available to model and simulate the presence of rigid particles in a fluid flow.

This book is intended as a text for a one-semester course on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of mathematics, the natural sciences, engineering, or computer science.

This book presents the theory and methods of flexible and generalized uncertainty optimization.

This book, dedicated to Winfried Stute on the occasion of his 70th birthday, presents a unique collection of contributions by leading experts in statistics, stochastic processes, mathematical finance and insurance.

This volume is a user-friendly presentation of the main theoretical properties of the Fourier-Malliavin volatility estimation, allowing the readers to experience the potential of the approach and its application in various financial settings.

This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries.

This book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales.

This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks.

This book presents a comprehensive overview of the freezing of colloidal suspensions and explores cutting-edge research in the field.

Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon.

This volume gathers selected peer-reviewed papers presented at the international conference "e;MAF 2016 - Mathematical and Statistical Methods for Actuarial Sciences and Finance"e;, held in Paris (France) at the Universite Paris-Dauphine from March 30 to April 1, 2016.

This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area.

Three coherent parts form the material covered in this text, portions of which have not been widely covered in traditional textbooks.

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics.

This book presents practical applications of the finite element method to general differential equations.

This book presents the latest research in computational methods for modeling and simulating brain disorders.

This book provides a sound theoretical basis for the the different gravity field recovery methods and the numerics of satellite-to-satellite tracking data.

This book introduces to basic and advanced methods for credit risk management.

This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut.

The first part of this volume gathers the lecture notes of the courses of the "e;XVII Escuela Hispano-Francesa"e;, held in Gijon, Spain, in June 2016.

This book explores the rise of theoretical physics in 19th century Germany.

This book presents recent research on Advanced Computing in Industrial Mathematics, which is one of the most prominent interdisciplinary areas and combines mathematics, computer science, scientific computations, engineering, physics, chemistry, medicine, etc.

This book presents a detailed study of a system of interacting Brownian motions in one dimension.

This book comprises nine selected works on numerical and computational methods for solving multiobjective optimization, game theory, and machine learning problems.