Mathematical physics

The book discusses hidden symmetries in the Anti-de Sitter/conformal field theory (AdS/CFT) duality.

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory.

This work introduces heavy ion beam probe diagnostics and presents an overview of its applications.

This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

This book describes an effective framework for setting the right process parameters and new mold design to reduce the current plastic defects in injection molding.

This book presents the genetic connections of metamorphism and geodynamics.

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves.

This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.

This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air.

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks.

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena.

This thesis presents profound insights into the origins and dynamics of beam instabilities using both experimental observations and numerical simulations.

Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives.

This monograph develops a new way of justifying the claims made by science about phenomenon not directly observable by humans, such as atoms and black holes.

This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians.

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

This thesis is a tour-de-force combination of analytic and computational results clarifying and resolving important questions about the nature of quantum phase transitions in one- and two-dimensional magnetic systems.

Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales.

This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus.

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics.

This book introduces new developments in the field of Time-Reversal Symmetry presenting, for the first time, the Wigner time-reversal operator in the form of a product of two- or three time-reversal operators of lower symmetry.

In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble-Zurek mechanism of defect formation.

This book treats dynamic stability of structures under nonconservative forces.

This volume, which brings together research presented at the IUTAM Symposium Intelligent Multibody Systems - Dynamics, Control, Simulation, held at Sozopol, Bulgaria, September 11-15, 2017, focuses on preliminary virtual simulation of the dynamics of motion, and analysis of loading of the devices and of their behaviour caused by the working conditions and natural phenomena.

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states.

This book addresses problems in three main developments in modern condensed matter physics- namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids-by employing fruitful analogies from classical mechanics.

This book, the second in a two-volume set, provides an introduction to the basics of (mainly) non-relativistic quantum mechanics.

This book, the first in a two-volume set, provides an introduction to the fundamentals of (mainly) non-relativistic quantum mechanics.

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry.

This monograph presents a new model of mathematical structures called weak n-categories.

This book explains the modelling and simulation of thermal power plants, and introduces readers to the equations needed to model a wide range of industrial energy processes.

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves.

Back Cover Text:This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation.

This book explores mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics.

This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour.

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.

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena.

Differential geometry and topology have become essential tools for many theoretical physicists.

The Principia is "e;justly regarded as one of the most important works in the history of science"e;.

Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.

The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications.

This book, the second in a two-volume set, provides an introduction to the basics of (mainly) non-relativistic quantum mechanics.

This book presents the importance of the mechanism of hairpin vortex formation to understanding flow transition, turbulence, and flow control.

This book presents the importance of the mechanism of hairpin vortex formation to understanding flow transition, turbulence, and flow control.

Addressed mainly to physicist and chemical physicist, this textbook is the result of a broad compilation of current knowledge on analytical properties of Airy functions.

This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field.

Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals.

A central area of study in Differential Geometry is the examination of the relationship between the purely algebraic properties of the Riemann curvature tensor and the underlying geometric properties of the manifold.