Mathematical physics

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 presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems-2023 (ISMAFDS - 2023), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu in India during August 24-25, 2023.

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.

Special relativity is one of the high points of the undergraduate mathematical physics syllabus.

This thesis highlights research explorations in quantum contextuality with photons.

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "e;Lie Theory and Its Applications in Physics"e; held in Sofia (Bulgaria) in June 2023.

This book presents modern variational calculus in mechanics and field theories with applications to theoretical physics.

This book shows how to derive the simple and accurate semiclassical methods analytically and its applications to excited-state molecular dynamics and spectroscopy simulation with and without classical trajectories.

The book explores the properties and behaviors of high-critical-temperature superconductors in the yttrium barium copper oxide (YBCO) system, looking specifically at Y0.

Complex systems seem to magically emerge from the interactions of their parts.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics.

This book offers a modern way of dealing with the problems of equilibrium states of Bose systems.

Lattice Boltzmann Method introduces the lattice Boltzmann method (LBM) for solving transport phenomena - flow, heat and mass transfer - in a systematic way.

The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly.

Supply Chain Simulation allows readers to practice modeling and simulating a multi-level supply chain.

Complex systems seem to magically emerge from the interactions of their parts.

Starting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence.

The laws of nature encompass the small, the large, the few, and the many.

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.