Mathematical physics

This book is an exposition of the algebra and calculus of differentialforms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to aformulation of important concepts of differential geometry indispensable for anin-depth understanding of space-time physics.

This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting.

This book provides a compact yet comprehensive overview of recentdevelopments in collisional-radiative (CR) modeling of laboratory andastrophysical plasmas.

The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics.

This book presents recent advances in space andcelestial mechanics, with a focus on the N-bodyproblem and astrodynamics, and explores the development and application of computational techniques in bothareas.

The book discusses new algorithms capable ofsearching for, tracking, mapping and providing a visualization of invisiblesubstances.

This book addresses flow separationwithin the context of fluid-structure interaction phenomena.

The first part briefly describes different methods used in computational chemistry without going into exhaustive details of theory.

This new edition is a concise introduction to the basic methods of computational physics.

This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research.

This thesis both broadens and deepens our understanding of the Brownian world.

This work focuses on new electromagnetic decay mode in nuclear physics.

This book provides a technical overview of low-costparabolic trough collector (PTCs) prototypes for low-temperature heat demand.

Quantum physics has been highly successful for more than 90 years.

This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections.

This book gives an introduction to quantum mechanics with the matrix method.

This brief brings together the theoretical aspects of star formation and ionized regions with the most up-to-date simulations and observations.

This book contains all refereed papers that were accepted to the sixth edition of the Complex Systems Design & Management Paris (CSD&M Paris 2015) international conference which took place in Paris (France) on November 23-25, 2015.

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn't require the use of divergent quantities and works on a large class of Lorenzian manifolds.

This book reports on the physical and mechanical characterization of Recycled Aggregate Concrete (RAC), produced through a partial-to-total replacement of ordinary aggregates with what have been dubbed Recycled Concrete Aggregates (RCAs).

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators.

This book covers the basics of processing and spectral analysis of monovariate discrete-time signals.

This book introduces the fascinating world of plasmonics and physics at the nanoscale, with a focus on simulations and the theoretical aspects of optics and nanotechnology.

These notes investigate the time evolution of quantum systems, and in particular the rigorous derivation of effective equations approximating the many-body Schrodinger dynamics in certain physically interesting regimes.

This self-contained text develops a Markov chain approach that makes the rigorous analysis of a class of microscopic models that specify the dynamics of complex systems at the individual level possible.

This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos.

The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers.

In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed.

This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A.

This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes.

This book deals with fractals in understanding problems encountered in earth science, and their solutions.

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

In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models.

This book presents cutting-edge concepts, paradigms, and research highlights in the field of computational materials science and engineering, and provides a fresh, up-to-date perspective on solving present and future materials challenges.

The book covers the content of a typical higher undergraduate course of the theory of Quantum Mechanics.

This pioneering work deals with the parameterization of rockfalls in the context of 3D run-out modelling at a study site in the Bavarian Alps.

This book surveys the most recent advances in physics-inspired cell movement models.

This book studies social phenomena in a new way, by making judicious use of computer technology.

This book deals with an information-driven approach to plan materials discovery and design, iterative learning.

This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved.

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools.

This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air.

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems.

This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems.

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics.

This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory.

Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics.

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs).

This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations.

This book endeavours to give a concise contribution to understanding the data assimilation and related methodologies.