Mathematical physics

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.

This volume studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach.

The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.

This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime.

This book provides a gentle introduction to equilibrium statistical mechanics.

This SpringerBrief explores the motor performance and biomechanics of golf putting, providing methodologies, studies and approaches to this concept.

This biography provides a stimulating and coherent blend of scientific and personal narratives describing the many achievements of the theoretical physicist Herbert Frohlich.

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics.

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers.

Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community.

This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.

In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force.

This brief presents a general unifying perspective on the fractional calculus.

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.

This volume reflects the state of the art of numerical simulation of transitional and turbulent flows and provides an active forum for discussion of recent developments in simulation techniques and understanding of flow physics.

This book offers an up-to-date, compact presentation of basic topics in the physics of matter, from atoms to molecules to solids, including elements of statistical mechanics.

This fourteenth volume in the Poincare Seminar Series is devoted to Niels Bohr, his foundational contributions to understanding atomic structure and quantum theory and their continuing importance today.

C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet.

This book is devoted to current advances in the field of nonlinear mathematical physics and modeling of critical phenomena that can lead to catastrophic events.

This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions.