Applied mathematics

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves.

Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author of this publication and his collaborators.

Games, or contexts of strategic interaction, pervade and suffuse our lives and the lives of all organisms.

The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and their applications.

This distinctive text presents the basic principles of fluid mechanics by means of one-dimensional flow examples - differing significantly in style and content from other books.

Modern Mathematical Methods in Technology deals with applied mathematics and its finite methods.

Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.

This book covers a wide range of problems involving the applications of stochastic processes, stochastic calculus, large deviation theory, group representation theory and quantum statistics to diverse fields in dynamical systems, electromagnetics, statistical signal processing, quantum information theory, quantum neural network theory, quantum filtering theory, quantum electrodynamics, quantum general relativity, string theory, problems in biology and classical and quantum fluid dynamics.

Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinarytask, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,computer science, and applied mathematics, to provide their perspectives.

This book presents an introduction to the common ground between operator theory and linear systems theory.

This volume will act as a guide through the various aspects of quantum mechanics.

Anhand spannender Beispiele aus dem Alltag werden die für das Studium der Mathematik erforderlichen Fertigkeiten vermittelt und ein Überblick über verschiedene Teilgebiete der Mathematik und ihrer Anwendungen gegeben.

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.

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

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows.

Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly.

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited.

Quantum mechanics is the key to modern physics and chemistry, yet it is notoriously difficult to understand.

The mathematical and statistical tools needed in the rapidly growing quantitative finance field With the rapid growth in quantitative finance, practitioners must achieve a high level of proficiency in math and statistics.

This valuable source for graduate students and researchers provides a comprehensive introduction to current theories and applications in optimization methods and network models.

These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology.

This books reviews and brings readers up to date with the latest research knowledge on road traffic safety.

Industrial mixing processes often present multiple optimization challenges to producing desirable products.

Johannes Schaeffer liefert eine interdisziplinäre, gruppentheoretische Analyse des Quarkmodells.

Banach Limit and Applications provides all the results in the area of Banach Limit, its extensions, generalizations, and applications to various fields in one go (as far as possible).

An essential textbook for any biologist needing to design experiments, sample programs or analyse the resulting data.

Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics.

This accessible text presents a detailed introduction to the use of a wide range of software tools and modeling environments for use in the biosciences, as well as the fundamental mathematical background.

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance.

Spreadsheet Problem Solving and Programming for Engineers and Scientists provides a comprehensive resource essential to a full understanding of modern spreadsheet skills needed for engineering and scientific computations.

Originally published in 1976.

This book discusses systematic designs of stable adaptive fuzzy logic controllers employing hybridizations of Lyapunov strategy-based approaches/Hinfinity theory-based approaches and contemporary stochastic optimization techniques.

Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science.

Introduction to Dynamic Programming provides information pertinent to the fundamental aspects of dynamic programming.

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments.

The theory of plasticity is a branch of solid mechanics that investigates the relationship between permanent deformation and load, and the distribution of stress and strains of materials and structures beyond their elastic limit.

Discrete event systems (DES) have become pervasive in our daily lives.

This book highlights state-of-the-art qubit implementations in semiconductors and provides an extensive overview of this newly emerging field.

This 2004 book introduces ways of modelling phenomena that occur over time.

This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix.

The essential guide to MATLAB as a problem solving tool This text presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy to master introduction to its potential and power.