Vorticity, Statistical Mechanics, and Monte Carlo Simulation

Author: Chjan Lim,Joseph Nebus

Publisher: Springer Science & Business Media

ISBN: 0387494316

Category: Mathematics

Page: 290

View: 5025

This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.

Peyresq Lectures on Nonlinear Phenomena

Author: Freddy Bouchet

Publisher: World Scientific

ISBN: 9814440590

Category: Chaotic behavior in systems

Page: 375

View: 8084

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin(r)aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomen


Mathematical, physical, and engineering sciences

Author: N.A

Publisher: N.A


Category: Engineering

Page: N.A

View: 1530

Introduction to Vortex Filaments in Equilibrium

Author: Timothy D. Andersen,Chjan C. Lim

Publisher: Springer

ISBN: 1493919385

Category: Computers

Page: 139

View: 324

This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.

Meteorological Fluid Dynamics

Asymptotic Modelling, Stability and Chaotic Atmospheric Motion

Author: Radyadour K. Zeytounian

Publisher: Springer Science & Business Media

ISBN: 3540544461

Category: Science

Page: 348

View: 6781

The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.

Mathematik im mittelalterlichen Islam

Author: J. L. Berggren

Publisher: Springer-Verlag

ISBN: 9783540766889

Category: Mathematics

Page: 200

View: 5215

Die Mathematik im mittelalterlichen Islam hatte großen Einfluss auf die allgemeine Entwicklung des Faches. Der Autor beschreibt diese Periode der Geschichte der Mathematik und bezieht sich dabei auf die arabischsprachigen Quellen. Zu den behandelten Themen gehören Dezimalrechnen, Geometrie, ebene und sphärische Trigonometrie, Algebra sowie die Approximation von Wurzeln von Gleichungen. Das Buch wendet sich an Mathematikhistoriker und -studenten, aber auch an alle Interessierten mit Mathematikkenntnissen der weiterführenden Schule.


Author: N.A

Publisher: N.A


Category: American literature

Page: N.A

View: 6878

Mathematics as a Tool

Tracing New Roles of Mathematics in the Sciences

Author: Johannes Lenhard,Martin Carrier

Publisher: Springer

ISBN: 3319544691

Category: Science

Page: 286

View: 7292

This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.

Methoden der Quantenmechanik mit Mathematica®

Author: James M. Feagin

Publisher: Springer-Verlag

ISBN: 3662087030

Category: Science

Page: 540

View: 9110

Methoden der Quantenmechanik mit Mathematica wendet sich an interessierte Studenten der Physik und Mathematik, die Zugang zu Mathematica haben und dieses umfassende Computer-Algebra-System konsequent auf quantenmechanische Probleme anwenden wollen. Das Buch schöpft die symbolischen, numerischen und grafischen Möglichkeiten von Mathematica voll aus und bietet einen einzigartigen Zugang zur modernen Quantenmechanik. Die 3 1/2" Begleitdiskette enthält sämtliche Mathematica Eingabezeilen sowie die Ergänzungsangaben im Text, so daß der Anwender alle mathematischen Rechenschritte im Buch gleich auf dem Computer nachvollziehen kann. Die Diskette ist für alle IBM -kompatible Systeme sowie für Macintosh und UNIX geeignet.

Grundkurs Theoretische Physik 2

Analytische Mechanik

Author: Wolfgang Nolting

Publisher: Springer-Verlag

ISBN: 3642419801

Category: Science

Page: 370

View: 8997

Der beliebte Grundkurs Theoretische Physik deckt in sieben Bänden alle für das Diplom maßgeblichen Gebiete ab. Jeder Band vermittelt gut durchdacht das im jeweiligen Semester nötige theoretische-physikalische Rüstzeug. Zahlreiche Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffes. Der zweite Band behandelt die Mechanik in der Lagrange-, Hamilton- und Hamilton-Jacobi-Formulierung. Die vorliegende neue Auflage wurde grundlegend überarbeitet und ergänzt. Sie ermöglicht durch die zweifarbige Darstellung einen sehr übersichtlichen und schnellen Zugriff auf den Lehrstoff.

Special Relativity

Author: Nicholas M.J. Woodhouse

Publisher: Springer-Verlag

ISBN: 3540466762

Category: Science

Page: 88

View: 5032