Mathematical physics

This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs).

In this volume, topics such as the AdS/CFT correspondence, non-BPS states, noncommutative gauge theories and the Randall-Sundrum scenario are discussed.

This book is a collection of contributions presented at the 16th annual international symposium "e;Frontiers of Fundamental Physics"e; (FFP16), supported by Istanbul University.

Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space.

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 self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE.

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.

Infinite series, and their analogues-integral representations, became funda-mental tools in mathematical analysis, starting in the second half of the seven-teenth century.

Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods.

This book is intended as an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration.

Metrology is the science of measurements.

This volume describes mesoscopic systems with classically chaotic dynamics using semiclassical methods which combine elements of classical dynamics and quantum interference effects.

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

This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics.

It was none other than Henri Poincare who at the turn of the last century, recognised that initial-value sensitivity is a fundamental source of random- ness.

The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.

An exciting new direction in hydrodynamic stability theory and the transition to turbulence is concerned with the role of disconnected states or finite amplitude solutions in the evolution of disorder in fluid flows.

Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.

The series of books discusses the physics of laser and matter interaction, fluid dynamics of high-temperature and high-density compressible plasma, and kinetic phenomena and particle dynamics in laser-produced plasma.

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective.

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.

In recent years it has become increasingly clear that the dynamics of cities can be best captured by looking at them as complex systems governed by many degrees of freedom, interacting on different space and time scales in a non-linear fashion.

When the First Edition of this book was written in 1951, the gas turbine was just becoming established as a powerplant for military aircraft.

This book provides an understandable review of SU(3) representations, SU(3) Wigner-Racah algebra and the SU(3) ?

Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations.

In the face of increasing failures, comments attributed to Albert Einstein loom large: "e;We cannot solve our problems with the same thinking we used when we created them.

This book demonstrates how to use functions of a complex variable to solve engineering problems that obey the 2D Laplace equation (and in some cases the 2D Poisson equation).

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016.

This publication comprises research papers contributed by the speakers, primarily based on their planned talks at the meeting titled 'Mathematical Physics and Its Interactions,' initially scheduled for the summer of 2021 in Tokyo, Japan.

Das vorliegende Buch enthält eine in sich geschlossene Einführung in Mathematica, die die Grundkenntnisse für den Umgang mit Mathematica vollständig vermittelt.

In part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action.

This book examines the latest research results from combined multi-component and multi-scale explorations.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

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.

Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.

This book has evolved from lectures devoted to applications of the Wentzel - Kramers - Brillouin- (WKB or quasi-classical) approximation and of the method of 1/N -expansion for solving various problems in atomic and nuclear physics.

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

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions.

Highperformancecomputinghaschangedthewayinwhichscienceprogresses.

This proceedings contains topics of the Symposium on Dynamical Systems and Applications held at Kyoto (8#x2013;11 July).

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.

Supercritical pressure fluids have been exploited in many engineering fields, where binary mixtures are frequently encountered.

This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis.

The kinetic theory of gases as we know it dates to the paper of Boltzmann in 1872.

For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course.

Asymptotic Methods for Engineers is based on the authors' many years of practical experience in the application of asymptotic methods to solve engineering problems.

This book contains the proceedings of the 18th Social Simulation Conference (SSC) and covers the state of the art of social simulation modeling.

Three years have passed after the First Moscow Seminar on Quantum Gravity.