This work is a needed reference for widely used techniques and methods of computer simulation in physics and other disciplines, such as materials science.
This volume contains the proceedings of the conference "e;Casimir Force, Casimir Operators and the Riemann Hypothesis - Mathematics for Innovation in Industry and Science"e; held in November 2009 in Fukuoka (Japan).
The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics.
This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary.
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.
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme.
This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc.
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 shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.
Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin- tegrable classical and quantum dynamics.
This volume presents the proceedings of a series of lectures hosted by the Math- ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "e;Nonlinear Partial Differential Equations in Geometry and Physics"e; .
This book gives a complete global geometric description of the motion of the two di- mensional hannonic oscillator, the Kepler problem, the Euler top, the spherical pendulum and the Lagrange top.