Mathematical physics

This book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence.

This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion.

This second edition of a well-received book presents new perspectives on modern nanoscale problems, where fundamental science meets technology and computer modeling.

The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms.

What's the point of calculating definite integrals since you can't possibly do them all?

The proceedings of the 9th conference on "e;Finite Volumes for Complex Applications"e; (Bergen, June 2020) are structured in two volumes.

Written in the 1980s by one of the fathers of chaos theory, Otto E.

This book presents a selection of Prof.

This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915.

This book addresses problems in three main developments in modern condensed matter physics- namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids-by employing fruitful analogies from classical mechanics.

This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics.

This book describes, as simply as possible, the mechanisms of scattering (both elastic and inelastic) of electrons with solid targets (electron-atom, electron-plasmon, and electron-phonon interactions).

Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions.

This book offers a comprehensive and timely review of the fracture behavior of bimaterial composites consisting of periodically connected components, i.

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter.

This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein's spacetime in one accessible, self-contained volume.

This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies.

This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018.

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas.

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics.

This book gathers the proceedings of the 4th conference on Recent Advances in Engineering Math.

This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics.

This contributed volume is based on talks given at the August 2016 summer school "e;Fluids Under Pressure,"e; held in Prague as part of the "e;Prague-Sum"e; series.

Semiconductor quantum optics is on the verge of moving from the lab to real world applications.

This book serves two main purposes: firstly, it shows, in a simple way, how the possible existence of an extra-spatial dimension would affect the predictions of four-dimensional General Relativity, a model known as the Brane world; secondly, it explains, step-by-step, a new technique called Minimal Geometric Deformation, which was introduced for the purpose of solving the correspondingly modified Einstein field equations.

This book provides a vivid account of the early history of molecular simulation, a new frontier for our understanding of matter that was opened when the demands of theoretical physicists were met by the availability of the modern computers.

Designing molecules and materials with desired properties is an important prerequisite for advancing technology in our modern societies.

This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium.

Since the 17th century, physical theories have been expressed in the language of mathematical equations.

This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity.

This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday.

This book introduces readers to state-of-the-art theoretical and simulation techniques for determining transport in complex band structure materials and nanostructured-geometry materials, linking the techniques developed by the electronic transport community to the materials science community.

This book presents important recent applied mathematics research on environmental problems and impacts due to climate change.

Adding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features.

Designed to sit alongside more conventional established condensed matter physics textbooks, this compact volume offers a concise presentation of the principles of solid state theory, ideal for advanced students and researchers requiring an overview or a quick refresher on a specific topic.

This thesis demonstrates the first use of high-speed ultrasound imaging to non-invasively probe how the interior of a dense suspension responds to impact.

This book is a concise, readable, yet authoritative primer of basic classic thermodynamics.

This book provides a unique and comprehensive overview of the latest advances, challenges and accomplishments in the rapidly growing field of theoretical and computational materials science.

Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrodinger equation on the half line with the general selfadjoint boundary condition.

MATLAB(R) is used in a wide range of geoscientific applications, e.

Many technological applications exploit a variety of magnetic structures, or magnetic phases, to produce and optimise solid-state functionality.

This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics.

This book collects a selection of papers presented at ELECTRIMACS 2019, the 13th international conference of the IMACS TC1 Committee, held in Salerno, Italy, on 21st-23rd May 2019.

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences.

This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades.

This book presents computer simulations using molecular dynamics techniques in statistical physics, with a focus on macromolecular systems.

Special numerical techniques are already needed to deal with n n matrices for large n.

This book presents asymptotic methods for boundary-value problems (linear and semilinear, elliptic and parabolic) in so-called thick multi-level junctions.