Mathematical physics

This new edition presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering.

This monograph develops a new way of justifying the claims made by science about phenomenon not directly observable by humans, such as atoms and black holes.

This thesis focuses on the study and characterization of entanglement and nonlocal correlations constrained under symmetries.

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.

This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians.

This book describes the development of a system dynamics-based model that can capture the future trajectories of housing energy and carbon emissions.

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory.

This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner.

This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations.

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 provides a complete and accurate atomic level statistical mechanical explanation of entropy and the second law of thermodynamics.

This book gathers selected, extended and revised papers presented at the 5th Iberian-Latin American Congress on Fire Safety, CILASCI 5, held on 15-17 July 2019, in Porto, Portugal.

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

This book treats dynamic stability of structures under nonconservative forces.

This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation.

This monograph provides the fundamentals of dimensional analysis and illustrates the method by numerous examples for a wide spectrum of applications in engineering.

This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Bedlewo, Poland in September 2015.

This book presents a history of shock compression science, including development of experimental, material modeling, and hydrodynamics code technologies over the past six decades at Sandia National Laboratories.

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

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

This book introduces readers to scattering from a practical/numerical point of view.

Coherent states (CS) were originally introduced in 1926 by Schrodinger and rediscovered in the early 1960s in the context of laser physics.

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks.

The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy.

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

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.

At the heart of this book is the generalized theoretical approach that is applied to investigate the geoelectrical structure of the Earth's mantle.

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems.

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective.

This book focuses on the analysis and design of advanced techniques for on-line automatic computational monitoring of pipelines and pipe networks.

This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network.

This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics.

This book presents the state-of-the-art in supercomputer simulation.

The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature.

Top researchers in the field of gravitation present the state-of-the-art topics outlined in this book, ranging from the stability of rotating wormholes solutions supported by ghost scalar fields, modified gravity applied to wormholes, the study of novel semi-classical and nonlinear energy conditions, to the applications of quantum effects and the superluminal version of the warp drive in modified spacetime.

This 2nd edition lays out an updated version of the general theory of light propagation and imaging through Earth's turbulent atmosphere initially developed in the late '70s and '80s, with additional applications in the areas of laser communications and high-energy laser beam propagation.

This book, now in a second revised and enlarged edition, covers a course of mathematics designed primarily for physics and engineering students.

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

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

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

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas.

Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini.

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs.

Diebeliebte Lehrbuchreihe zur Theoretischen Physik deckt in sieben Bänden alle für den Bachelor-/Masterstudiengang maßgeblichen Gebiete ab.

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications.

This book presents a self-contained introduction to techniques from field theory applied to stochastic and collective dynamics in neuronal networks.

This handbook focuses on special functions in physics in the real and complex domain.

Produced by an award-winning translator of Henri Poincare, this book contains translations of several seminal articles by Poincare and discusses the experimental and theoretical investigations of electrons that form their context.

In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS).