Applied mathematics

The interdisciplinary subject of random heterogeneous materials has experienced remarkable growth since the publication of the well-known monograph Statistical Con- tinuum Theories by Beran ( 1968).

Clearly connects macroscopic and microscopic thermodynamics and explains non-equilibrium behavior in kinetic theory and chemical kinetics.

This book discusses control units represented by the model of a finite state machine (FSM).

Financial engineering has been proven to be a useful tool for risk management, but using the theory in practice requires a thorough understanding of the risks and ethical standards involved.

th This book contains papers accepted for presentation at the 4 International Conference on Computer Recognition Systems CORES'05, May 22-25, 2005, Rydzyna Castle (Poland), This conference is a continuation of a series of con- ferences on similar topics (KOSYR) organized each second year, since 1999, by the Chair of Systems and Computer Networks, Wroclaw University of Tech- nology.

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level.

This book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations.

With major implications for applied physics, engineering, and the natural and social sciences, the rapidly growing area of environmental fluid dynamics focuses on the interactions of human activities, environment, and fluid motion.

For students in pure and applied probability; lots of applications, fairly self-contained.

There is a wide variety of heterogeneous fluid systems that possess interphase surfaces.

This book (Volume 1) includes peer reviewed articles from the 5th International Conference on Data Science, Machine Learning and Applications, 2023, held at the G Narayanamma Institute of Technology and Sciences, Hyderabad on 15-16th December, India.

This volume first introduces the mathematical tools necessary for understanding and working with a broad class of applied stochastic models.

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics.

Introduction to Computational Models with Python explains how to implement computational models using the flexible and easy-to-use Python programming language.

A beginner s guide to stochastic growth modeling The chief advantage of stochastic growth models over deterministic models is that they combine both deterministic and stochastic elements of dynamic behaviors, such as weather, natural disasters, market fluctuations, and epidemics.

This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93.

This book develops a framework to analyze algorithmic aspects of discrete choice models in convex optimization.

The contributions in this volume, made by distinguished statisticians in several frontier areas of research in multivariate analysis, cover a broad field and indicate future directions of research.

This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade.

This book deals with efficient estimation and optimization methods to improve the design of electrotechnical devices under uncertainty.

This study provides innovative mathematical models for assessing the eruption probability and associated volcanic hazards, and applies them to the Campi Flegrei caldera in Italy.

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

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems.

A most critical and important issue surrounding the design of automatic control systems with the successively increasing complexity is guaranteeing a high system performance over a wide operating range and meeting the requirements on system reliability and dependability.

Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics.

This innovative book brings together two disciplines - science and art - and enables readers to produce their own computer-generated displays.

Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.

This book provides the essential theoretical tools for stochastic modeling.

This review volume reports the state-of-the-art in Linear Parameter Varying (LPV) system identification.

This book provides a thorough summary of the means currently available to the investigators of Artificial Intelligence for making criminal behavior (both individual and collective) foreseeable, and for assisting their investigative capacities.

This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies.

Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.

Complex mathematical and computational models are used in all areas of society and technology and yet model based science is increasingly contested or refuted, especially when models are applied to controversial themes in domains such as health, the environment or the economy.

First published in 1980.

The present volume contains selected papers issued from the sixth edition of the International Conference "e;Numerical methods for hyperbolic problems"e; that took place in 2019 in Malaga (Spain).

Considerable attention from the international scientific community is currently focused on the wide ranging applications of wavelets.

Over the past decade, the field of image processing has made tremendous advances.

The Role of the Computer in Statistics David Cox Nuffield College, Oxford OXIINF, U.

Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods.

This volume has been divided into two parts: Geometry and Applications.

As global consumption of fossil fuels such as oil increases, previously abundant sources have become depleted or plagued with obstructions.

Sampling from the posterior distribution and computing posterior quanti- ties of interest using Markov chain Monte Carlo (MCMC) samples are two major challenges involved in advanced Bayesian computation.

The dimmed outlines of phenomenal things all into one another unless we put on the merge focusing-glass of theory, and screw it up some- times to one pitch of definition and sometimes to another, so as to see down into different depths through the great millstone of the world James Clerk Maxwell (1831 - 1879) For a long time after the foundation of the modern theory of electromag- netism by James Clerk Maxwell in the 19th century, the mathematical ap- proach to electromagnetic field problems was for a long time dominated by the analytical investigation of Maxwell's equations.

Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century.

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics.

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range.

The increase in the requirements on the reliability of units makes it necessary to analyze the relationship between mathematicalmeth- ods of calculating reliability and the physical nature of fail- ures.