Mathematical physics

This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation.

This book highlights the review of articles in theoretical physics by the students of Professor K.

The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement.

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses.

Symbolic dynamics is a coarse-grained description of dynamics.

We lift a veil of obscurity from a branch of mathematical physics in a straightforward manner that can be understood by motivated and prepared undergraduate students as well as graduate students specializing in relativity.

This book presents the select proceedings of the 14th International Conference on Vibration Problems (ICOVP 2019) held in Crete, Greece.

This book covers the necessary aspects of mathematics for graduate students in physics and engineering.

This volume is based on lectures given during the program "e;Complex Quantum Systems"e; held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010.

This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.

The book covers intimately all the topics necessary for the development of a robust magnetohydrodynamic (MHD) code within the framework of the cell-centered finite volume method (FVM) and its applications in space weather study.

This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents.

This book highlights the solution algorithms and characteristic analysis methods of fractional-order chaotic systems.

Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise.

This book discusses in detail the special theory of relativity without including all the instruments of theoretical physics, enabling readers who are not budding theoretical physicists to develop competence in the field.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 4th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on 24-25 August 2021.

New Edition: Fractional Calculus: An Introduction for Physicists (3rd Edition)The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.

This is the first book on elliptic quantum groups, i.

This book presents an alternative representation of Einstein's Special Theory of Relativity, which makes Special Relativity much more comprehensible.

This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems.

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral.

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This book is divided into two parts.

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes.

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.

This book gives a general introduction to theoretically understand thermodynamic properties and response to applied fields of mesoscopic systems that closely relate to experiments.

This book presents the latest algorithmic developments in the cell-mapping method for the global analysis of nonlinear dynamic systems, global solutions for multi-objective optimization problems, and global solutions for zeros of complex algebraic equations.

This book investigates in detail the deep learning (DL) techniques in electromagnetic (EM) near-field scattering problems, assessing its potential to replace traditional numerical solvers in real-time forecast scenarios.

It is not uncommon for the Principle of Complementarity to be invoked in either Science or Philosophy, viz.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

This book briefly discusses the main provisions of the theory of modeling.

This newly updated volume of the  Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons.

Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay.

This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space.

A gentle introduction to general relativity, striking a balance between ease of use and precision, for all undergraduates in physics.

This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations.

This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations.

This accessible introduction for Ph.

Delivers a clear and concise exposition of key topics in statistical physics, accompanied by detailed derivations and practice problems.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 5th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on August 23-24, 2022.

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics.

This book gathers outstanding papers on numerical modeling in Mechanical Engineering (Volume 2) as part of the 2-volume proceedings of the 5th International Conference on Numerical Modeling in Engineering (NME 2021), which was held in Ghent, Belgium, on August 23-24, 2022.

The first edition of this book was published in 1994.

Die mathematischen Sätze gelernt?

Die mathematischen Sätze gelernt?

Topological defects are an expected consequence of phase transitions in the early Universe.

In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals.

This book is devoted to the construction of space group representations, their tabulation, and illustration of their use.

This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories.