Mathematical physics

Stochastic geometry is a relatively new branch of mathematics.

Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques.

Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications.

Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer.

This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks.

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed.

Maths is everywhere, in everything.

Even the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in ';real life'.

Is anything truly random?

This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves.

This book introduces a unified implementation of bond- and state-based peridynamic theory (PD) within a commercial finite element framework, Ansys, utilizing its native elements.

This book introduces readers to the fascinating world of quantum chromodynamics (QCD) and quarks and gluons, the elementary constituents of protons, neutrons, and all hadrons.

This book presents a detailed exploration of advanced computational modeling techniques in the design, testing, and applications of rigid polyurethane foams (RPUFs).

This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry.

This book provides an in-depth, comprehensive, and comprehensible description of the theoretical background and numerical methodologies corresponding to advanced particle methods formulated in classical Newtonian mechanics for simulation of fluids, structures, and their interactions.

This book provides an in-depth analysis of the hydrodynamics of two-dimensional (2D) electronic systems, with a particular focus on graphene and other Dirac materials.

Spectral properties for Schrodinger operators are a major concern in quantum mechanics both in physics and in mathematics.

This book highlights the presentation of methods for studying oscillations under external periodic influence and random changes in parameters in dynamic systems with nonlinearities that have discontinuities and kinks.

This book discusses helical Ince-Gaussian beams, which are presented as expansions in Hermite-Gaussian modes, and analytical expressions for the orbital angular momentum are obtained for them.

The aim of this text is to provide an account of the fundamentals of thermodynamics which is accessible at graduate level to physicists, mathematicians and philosophers of physics.

This book presents the advanced theory and application of the combined Computational Fluid Dynamics - Discrete Element Method (CFD-DEM) to multiphase flow simulations of the gas and bio-particulate matter of non-uniformly shaped biomass.

This book introduces physics concepts and principles at a conversant but non-technical level.

This book bridges the gap between theoretical rheology and practical industry applications by introducing Control Theory (CT) and the linear Unified Model.

This 2nd edition of the book focuses on the properties of stationary states in chaotic systems of particles or fluids, setting aside the theory of how these states are achieved.

This book compactly provides the fundamentals of experimental physics for students of the natural sciences who are taking physics as a minor or major subject.

In this monograph, the authors present their recently developed theory of electromagnetic interactions.

Multi-finger Haptic Interaction presents a panorama of technologies and methods for multi-finger haptic interaction, together with an analysis of the benefits and implications of adding multiple-fingers to haptic applications.

In this book, there is a strong emphasis on application with the necessary mathematical grounding.

The fascinating correspondence between Paul Levy and Maurice Frechet spans an extremely active period in French mathematics during the twentieth century.

This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: * limit theorems for sums of random variables* martingales* percolation* Markov chains and electrical networks* construction of stochastic processes* Poisson point process and infinite divisibility* large deviation principles and statistical physics* Brownian motion* stochastic integral and stochastic differential equations.

The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation.

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universite Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics.

Statistical Inference for Ergodic Diffusion Processes encompasses a wealth of results from over ten years of mathematical literature.

Pulse-coupled neural networks represent a new and exciting advance in image processing research.

Fracture and Mechanics is concerned with the experimental method of static and dynamic caustics and the Distribution of Determinant (Det.

Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book.

In recent years, there has been a growing interest in applying neural networks to dynamic systems identification (modelling), prediction and control.

Fractal analysis research is expanding into a variety of engineering domains.

Conventional applications of neural networks usually predict a single value as a function of given inputs.

The past decade could be seen as the heyday of neurocomputing: in which the capabilities of monolithic nets have been well explored and exploited.

Finite Element Programs for Structural Vibrations presents detailed descriptions of how to use six computer programs (written in Fortran 77) to determine the resonant frequencies of one, two, and three-dimensional skeletal structures through the finite element method.

ICANN, the International Conference on Artificial Neural Networks, is the official conference series of the European Neural Network Society which started in Helsinki in 1991.

Vector calculus is the fundamental language of mathematical physics.

Neural networks have had considerable success in a variety of disciplines including engineering, control, and financial modelling.

Following the intense research activIties of the last decade, artificial neural networks have emerged as one of the most promising new technologies for improving the quality of healthcare.

Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course.

Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems.