Mathematical physics

Many different fractal dimensions have been proposed for networks.

This book provides an information fusion model with information fusion theory, geographic information system technology and modern mathematical methods to evaluate the risks of groundwater inrushes from aquifers underlying coal seams.

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem.

This monograph is a detailed study, and systematic defence, of the Growing Block Theory of time (GBT), first conceived by C.

One of the most important routes to chaos is the chaotic intermittency.

This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by o?

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.

A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections.

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns.

This textbook provides a broad introduction to continuous and discrete dynamical systems.

This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master's-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory.

This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions.

This book covers cutting-edge findings related to uncertainty quantification and optimization under uncertainties (i.

This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.

This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles.

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The book provides highly specialized researchers and practitioners with a major contribution to mathematical models' developments for energy systems.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015.

This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

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

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment.

This book presents extensive information on the mechanisms of epitaxial growth in III-nitride compounds, drawing on a state-of-the-art computational approach that combines ab initio calculations, empirical interatomic potentials, and Monte Carlo simulations to do so.

This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description.

This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE).

This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5-9 September 2016.

This collection of selected papers presented at the 11th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in St.

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 teaches solid state physics in a comprehensive way, covering all areas.

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

This book highlights the remarkable importance of special functions, operational calculus, and variational methods.

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories.

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena.

This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference 'Stochastic Partial Differential Equations and Related Fields' hosted by the Faculty of Mathematics at Bielefeld University, October 10-14, 2016.

This book presents the Generalized Multipole Technique as a fast and powerful theoretical and computation tool to simulate light scattering by nonspherical particles.

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.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems.

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This thesis presents two production cross-section measurements of pairs of massive bosons using final states with leptons, made with the ATLAS detector at the Large Hadron Collider.

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

This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts.

This book presents the basic elements of Analytical Mechanics, starting from the physical motivations that favor it with respect to the Newtonian Mechanics in Cartesian coordinates.

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies.

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

This thesis presents and discusses recent optical low-temperature experiments on disordered NbN, granular Al thin-films, and the heavy-fermion compound CeCoIn5, offering a unified picture of quantum-critical superconductivity.

This book offers an integrated introduction to the topic of stability and vibration.

The dielectric properties especially of glassy materials are nowadays explored at widely varying temperatures and pressures without any gap in the spectral range from uHz up to the Infrared, thus covering typically 20 decades or more.

This book provides an overview of state-of-the-art implementations of quantum random number generators (QRNGs), and especially examines their relation to classical statistical randomness models and numerical techniques for computing random numbers.

This book presents a collection of invited research and review contributions on recent advances in (mainly) theoretical condensed matter physics, theoretical chemistry, and theoretical physics.