Mathematical physics

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics.

This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows.

This book systematically interprets and documents new, unifying principles and basic laws describing the most relevant aspects of hierarchy.

This undergraduate textbook presents a unique comprehensive overview on Mathematics in Earth Sciences and Geography.

This book is a collection of contributions presented at the 16th Conference on Acoustic and Vibration of Mechanical Structure held in Timisoara, Romania, May 28, 2021.

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

This thesis describes the application of a Monte Carlo radiative transfer code to accretion disc winds in two types of systems spanning 9 orders of magnitude in mass and size.

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD).

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept.

This proceedings volume highlights a selection of papers presented at the 7th International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam, during March 19-23, 2018.

This thesis addresses elementary dislocation processes occurring in single-crystalline alloys based on Fe-Al, and investigates correspondences between dislocation distribution inside crystals characterized by transmission electron microscopy (TEM) and surface patterns observed using atomic force microscopy (AFM).

This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes.

Light signals in optical waveguides can be used to transmit very large amounts of data quickly and largely without interference.

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

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches.

This volume tackles a variety of biological and medical questions using mathematical models to understand complex system dynamics.

This thesis presents a theoretical analysis of the behavior of glasses under external perturbations, i.

This thesis discusses the random Euclidean bipartite matching problem, i.

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In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature.

Graduate students who wish to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics.

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications.

This new expanded second edition has been totally revised and corrected.

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field.

The NUMISHEET conference series is the most significant international conference on the area of the numerical simulation of sheet metal forming processes.

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

This book gives a modern presentation of modular operands and their role in string field theory.

The book provides the theoretical fundamentals on turbulence and a complete overview of turbulence models, from the simplest to the most advanced ones including Direct and Large Eddy Simulation.

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 presents an introduction to Evolutionary Game Theory (EGT) which is an emerging field in the area of complex systems attracting the attention of researchers from disparate scientific communities.

Concise, detailed, and transparently structured, this upper-level undergraduate textbook is an excellent resource for a one-semester course on thermodynamics for students majoring in physics, chemistry, or materials science.

This interactive book presents comprehensive information on the fundamentals of landslide types and dynamics, while also providing a set of PPT, PDF, and text tools for education and capacity development.

This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic.

This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz 130 years ago.

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 book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods.

This book brings together the recent cutting-edge work on computational methods in photonics and their applications.

This thesis is concerned with flows through cascades, i.

This book is a collection of papers presented at Acoustics and Vibration of Mechanical Structures 2017 - AVMS 2017 - highlighting the current trends and state-of-the-art developments in the field.

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods.

Part 1 of this popular graduate-level textbook focuses on mathematical methods involving complex analysis, determinants, and matrices, including updated and additional material covering conformal mapping.

This book describes the historical development of the principle of stationary action from  the 17th to the 20th centuries.

This book introduces the traditional and novel techniques required to study the thermodynamic and transport properties of quark-gluon plasma.

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

The lectures in this book provide graduate students and non-specialist researchers with a concise introduction to the concepts and formalism required to reduce the ten-dimensional string theories to the observable four-dimensional space-time - a procedure called string compactification.

The purpose of this book is to illustrate some of the most important techniques which are helpful in combinatorial problems when computing quantum effects in covariant theories, like general relativity.

The Handbook of Materials Modeling, 2nd edition is a six-volume major reference serving a steadily growing community at the intersection of two mainstreams of global research: computational science and materials science and technology.

This book introduces the reader to the field of jet substructure, starting from the basic considerations for capturing decays of boosted particles in individual jets, to explaining state-of-the-art techniques.