Mathematical physics

This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics.

Unifying Themes in Complex Systems is a well-established series of carefully edited conference proceedings that serve to document and archive the progress made regarding cross-fertilization in this field.

Computational fluid-structure interaction and flow simulation are challenging research areas that bring solution and analysis to many classes of problems in science, engineering, and technology.

Quantum machine learning investigates how quantum computers can be used for data-driven prediction and decision making.

This monograph discusses the essential principles of the evaporationprocess by looking at it at the molecular and atomic level.

This monograph deals with theoretical aspects and numerical simulations of the interaction of electromagnetic fields with nonlinear materials.

This book constitutes the thoroughly refereed proceedings of the Clausthal-Gottingen International Workshop on Simulation Science, held in Gottingen, Germany, in April 2017.

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity.

This book addresses several aspects of the integrable structure of the AdS/CFT correspondence.

Empirical laws are rare in economics.

This book presents a three-dimensional model of the complete unicycle-unicyclist system.

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus.

This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes.

This book investigates the common nature of granular and active systems, which is rooted in their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to reproduce and predict the complex collective behavior observed in experiments and simulations.

This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes - which can be e.

Starting from a broad overview of heat transport based on the Boltzmann Transport Equation, this book presents a comprehensive analysis of heat transport in bulk and nanomaterials based on a kinetic-collective model (KCM).

This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.

What is spectral action, how to compute it and what are the known examples?

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.

This book covers the experimental and theoretical study of convection in non-isothermal ferro-nanofluids (FNFs).

This book discusses group theory investigations of zincblende and wurtzite semiconductors under symmetry-breaking conditions.

This book is intended as an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration.

This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry.

Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space.

This book introduces readers to the principles of laser interaction with biological cells and tissues with varying degrees of organization.

Many open questions in Theoretical Physics pertain to strongly interacting quantum systems such as the quark-gluon plasma (QGP) produced in heavy-ion collisions or the strange-metal phase observed in many high-temperature superconductors.

After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems.

This textbook introduces step by step the basic numerical methods to solve the equations governing the motion of the atmosphere and ocean, and describes how to develop a set of corresponding instructions for the computer as part of a code.

This book provides an introduction to many-body methods for applications in quantum chemistry.

This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems.

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering.

In this undergraduate textbook, the author develops the quantum theory from first principles based on very simple experiments: a photon travelling through beam splitters to detectors, an electron moving through a Stern-Gerlach machine, and an atom emitting radiation.

Murray Gell-Mann, Physics Nobel Prize Laureate in 1969  is known for his theoretical work on elementary particle physics and the introduction of quarks and together with H.

This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics.

This book addresses the theoretical foundations and the main physical consequences of electromagnetic interaction, generally considered to be one of the four fundamental interactions in nature, in a mathematically rigorous yet straightforward way.

This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism.

The purpose of this book is to introduce undergraduate students of engineering and the physical sciences to applied mathematics often essential to the successful solutions of practical problems.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years.

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding.

This book addresses key conceptual issues relating to the modern scientific and engineering use of computer simulations.

The book provides a detailed account of how condensed-phase molecular dynamics are reflected in the line shapes of NMR spectra.

This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry.

The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background.

This book is a rare jewel, describing fundamental research in a highly dynamic field of subatomic physics.

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity.

This volume offers a fundamentally different way of conceptualizing time and reality.

This book presents the role of mesostructure on the properties of composite materials.

The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.

Thermal processes are ubiquitous and an understanding of thermal phenomena is essential for a complete description of the physics of nanoparticles, both for the purpose of modeling the dynamics of the particles and for the correct interpretation of experimental data.