Mathematical physics

This thesis describes pioneering research on the extension of plasmonics schemes to the regime of high-intensity lasers.

A broad spectrum of modern Information Technology (IT) tools, techniques, main developments and still open challenges is presented.

The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics.

This book is a guide to the use of Monte Carlo techniques in radiation transport.

Our world is composed of systems within systems-the machines we build, the information we share, the organizations we form, and elements of nature that surround us.

This text, now in its second edition, presents the mathematical background needed to design many optical combinations that are used in astronomical telescopes and cameras.

This book offers the reader an overview of the basic approaches to the theoretical description of low-temperature plasmas, covering numerical methods, mathematical models and modeling techniques.

This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory.

This book offers a comprehensive review of our current understanding of the planetary boundary layer, particularly the turbulent exchanges of momentum, heat and passive scalars between the surface of the Earth and the atmosphere.

This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations - the theory of hyper-random phenomena.

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory.

Now in its second edition, this monograph explores the Monge-Ampere equation and the latest advances in its study and applications.

This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them.

This book considers a relatively new metric in complex systems, transfer entropy, derived from a series of measurements, usually a time series.

This primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR).

In this book we analyze  relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics.

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses.

This book offers a short and concise introduction to the many facets of chaos theory.

This book discusses the physics of the dynamics of ions in various ionically conducting materials, and applications including electrical energy generation and storage.

This course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences.

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering.

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics.

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering.

This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering.

This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015.

This thesis addresses the surprising features of zero-temperature statics and dynamics of several spin glass models, including correlations between soft spins that arise spontaneously during avalanches, and the discovery of localized states that involve the presence of two-level systems.

This thesis reveals the utility of pursuing a statistical physics approach in the description of wave interactions in multimode optical systems.

This textbook provides a fast-track pathway to numerical implementation of phase-field modeling-a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials.

This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick.

This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick.

This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint.

Focusing on electromagnetism, this third volume of a four-volume textbook covers the electric field under static conditions, constant electric currents and their laws, the magnetic field in a vacuum, electromagnetic induction, magnetic energy under static conditions, the magnetic properties of matter, and the unified description of electromagnetic phenomena provided by Maxwell's equations.

This new edition offers a comprehensive introduction to the analysis of data using Bayes rule.

This book is about computational methods based on operator splitting.

This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy.

Focused on recent advances, this book covers theoretical foundations as well as various applications.

The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards exascale computing.

Ring polymers are one of the last big mysteries in polymer physics, and this thesis tackles the problem of describing their behaviour when interacting in dense solutions and with complex environments and reports key findings that help shed light on these complex issues.

This book deals with mathematical problems arising in the context of meteorological modelling.

This textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses.

This textbook offers a clear and comprehensive introduction to classical mechanics, one of the core components of undergraduate physics courses.

This book shows the capabilities of Microsoft Excel in teaching physical science statistics effectively.

Scheck's textbook starts with a concise introduction to classical thermodynamics, including geometrical aspects.

This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.

This book offers an essential compendium of astronomical high-resolution techniques.

This thesis addresses one of the most fundamental challenges for modern science: how can the brain as a network of neurons process information, how can it create and store internal models of our world, and how can it infer conclusions from ambiguous data?

This book proposes intriguing arguments that will enable students to achieve a deeper understanding of electromagnetism, while also presenting a number of classical methods for solving difficult problems.

This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science.