Mathematical physics

This book - specifically developed as a novel textbook on elementary classical mechanics - shows how analytical and numerical methods can be seamlessly integrated to solve physics problems.

This book teaches the users on how to construct a library of routines to simulate scattering and diffraction by almost any kind of samples.

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz infinite-valued logic.

This work addresses dynamical aspects of quantum criticality in two space dimensions.

Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area.

Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms.

Tjonnie Li's thesis covers two applications of Gravitational Wave astronomy: tests of General Relativity in the strong-field regime and cosmological measurements.

This book overviews the extensive literature on apparent cosmological and black hole horizons.

This is a textbook that derives the fundamental theories of physics from symmetry.

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other.

These notes describe how to average and fit numerical data that have been obtained either by simulation or measurement.

Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics.

This thesis presents fundamental work that explains two mysteries concerning the trajectory of interplanetary spacecraft.

These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland.

This work presents a study of methods useful for modeling and understanding dynamical systems in the Galaxy.

This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years.

This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc.

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance.

This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena.

This book systematically presents solutions to the linear time-fractional diffusion-wave equation.

This proceedings volume originates from a conference held in Herrnhut in June 2013.

This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future.

This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently.

The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories.

This book lays out a new, general theory of light propagation and imaging through Earth's turbulent atmosphere.

This book is devoted to the calculation of hot-plasma properties which generally requires a huge number of atomic data.

The book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable.

This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices.

Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory.

The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra.

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined.

This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition.

Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics.

This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD).

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science.

The book describes the direct problems and the inverse problem of the multidimensional Schrodinger operator with a periodic potential.

This book focuses on mathematical problems concerning different applications in physics, engineering, chemistry and biology.

This book is a concise introduction to electromagnetics and electromagnetic fields that covers the aspects of most significance for engineering applications by means of a rigorous, analytical treatment.

Written by outstanding experts in the fields of marine engineering, atmospheric physics and chemistry, fluid dynamics and applied mathematics, the contributions in this book cover a wide range of subjects, from pure mathematics to real-world applications in the oil spill engineering business.

This book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation.

This book provides an emerging computational intelligence tool in the framework of collective intelligence for modeling and controlling distributed multi-agent systems referred to as Probability Collectives.

This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry.

This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments.

This book is a unique reference work in the area of atomic-scale simulation of glasses.

This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Numerical Methods and Applications, NMA 2014, held in Borovets, Bulgaria, in August 2014.

This book gives a concise overview of the mathematical foundations of kinetics used in chemistry and systems biology.

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation.

This book is devoted to fractional thermoelasticity, i.

Statistical literacy is critical for the modern researcher in Physics and Astronomy.

This book examines the latest research results from combined multi-component and multi-scale explorations.