Mathematical physics

After many years of teaching graduate courses in applied mathematics, Youssef N.

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus.

'Fractal geometry addressesitselfto questions that many people have been asking themselves.

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 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.

Computing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media.

What's in this book This book contains an accelerated introduction to Maple, a computer alge- bra language.

This book is a textbook for graduate or advanced undergraduate students in mathematics and (or) mathematical physics.

Mathematical problems concerning time evolution of solutions related to nonlinear systems modelling dynamics of continuous media are of great interest both in wave propagation and in stability problems.

This special issue collects selected contributions (excluding general lectures) of a Symposium on "e;Micro to MACRO Mathematical Modelling in Soil Mechanics"e;, which took place at the University of Reggio Calabria, Italy, from May 29th to June 1st, 2018.

Reference systems and frames are of primary importance for many Earth science applications, satellite navigation as well as for practical applications in geo-information.

This book provides a complete and accurate atomic level statistical mechanical explanation of entropy and the second law of thermodynamics.

Ordinary differential control thPory (the classical theory) studies input/output re- lations defined by systems of ordinary differential equations (ODE).

The purpose of this book is to expose undergraduate students to the use of applied mathematics and physical argument as a basis for developing an understanding of the response characteristics, from a systems viewpoint, of a broad class of dynamic physical processes.

Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation.

Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems.

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.

Classical Mechanics is the oldest and best understood part of physics.

Aus den Besprechungen: "Verglichen mit anderen Darstellungen .

This is a textbook that derives the fundamental theories of physics from symmetry.

Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R).

Exploring Monte Carlo Methods, Second Edition provides a valuable introduction to the numerical methods that have come to be known as "e;Monte Carlo.

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

This textbook offers a different approach to classical textbooks in Differential Geometry.

This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics.

This thesis offers new insights into the fluid flow behavior of automotive centrifugal compressors operating under near-stall conditions.

Vladimir Arnold was one of the great mathematical scientists of our time.

This book describes, as simply as possible, the mechanisms of scattering (both elastic and inelastic) of electrons with solid targets (electron-atom, electron-plasmon, and electron-phonon interactions).

Our world is composed of systems within systems-the machines we build, the information we share, the organizations we form, and elements of nature that surround us.

This monograph introduces mathematicians, physicists, and engineers to the ideas relating quantum mechanics and symmetries - both described in terms of Lie algebras and Lie groups.

This book is about extending index theory to some examples where non-Fredholm operators arise.

This Advanced Study Institute (ASI) brought together two distinct *"e;schools of approach"e; to Quantum Electrodynamics (QED) in the presence of intense, external, electromagnetic fields, in an effort to lay a joint foundation for a needed theoretical explanation of the sharp e+ e- "e;resonances"e; observed in the scattering of very heavy IOns.

This book provides a practical and comprehensive introduction to computational problem solving from the viewpoints of practitioners in both academic and industrial worlds.

New edition of an introduction to Fourier transforms, invaluable to students in physics, electrical and electronic engineering, and computer science.

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition.

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter.

Material particles, electrons, atoms, molecules, interact with one another by means of electromagnetic forces.

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 Element explores the relations between dynamics and modularity on networks, emphasising the importance of time scale separation and network symmetry.

This book offers a comprehensive review of our current understanding of the planetary boundary layer, particularly the turbulent exchanges of momentum, heat and passive scalars between the surface of the Earth and the atmosphere.

This book is designed to accompany Physical and Computational Aspects of Convective Heat Transfer by T.

The present third edition of The Statistical Mechanics of Financial Markets is published only four years after the ?

This volume contains the papers presented at the IUTAM Symposium on Geometry and Statistics of Turbulence, held in November 1999, at the Shonan International Village Center, Hayama (Kanagawa-ken), Japan.

The control of optical modes in microcavities or in photonic bandgap (PBG) materials is coming of age!

This monograph offers a concise overview of the theoretical description of various collective phenomena in condensed matter physics.

The International Conference on "e;Hyperbolic Problems: Theory, Numerics and Applications' was held in CalTech on March 25-30, 2002.