Category: Mathematical Physics

By Yadolah Dodge, Giuseppe Melfi

Ce livre est une creation aux concepts de simulation. Cette méthode numérique permet de reconstituer fictivement l’évolution d’un phénomène et offre un complément aux méthodes analytiques parfois incapables de traiter des problèmes aux multiples variables. l. a. simulation trouve de nombreuses functions dans l’industrie, en économie, en sciences sociales, en body des particules, en astronomie.

Après un bref rappel des thoughts fondamentales du calcul des probabilités, le livre divulge diverses méthodes pour générer en grande quantité des nombres aléatoires. Ceux-ci sont un élément valuable de toute simulation. Les ameliorations de variables utilisées pour simuler des échantillons fictifs d’une variable aléatoire, et les exams d’hypothèses, qui permettent de valider des modèles pour des simulations à plus lengthy terme, font l’objet des chapitres suivants. Enfin, l. a. dernière partie porte sur los angeles méthode de Monte Carlo et ses applications.

Tout au lengthy de l’ouvrage, le lecteur est guidé par de nombreux exemples qui illustrent des purposes très concrètes de ces diverses méthodes. En fin de chapitre, des exercices permettent à chacun de développer son savoir-faire.

Écrit dans un langage easy, ce livre s’adresse à un public de non-spécialistes : non seulement les mathématiciens n’ayant pas de formation approfondie en statistique, mais aussi les ingénieurs et les informaticiens confrontés quotidiennement à l’analyse de phénomènes complexes trouveront des symptoms utiles pour leur travail.

By Olivier Vallée

Using exact services, and particularly ethereal capabilities, is very universal in physics. the explanation should be present in the necessity, or even within the necessity, to specific a actual phenomenon by way of an efficient and complete analytical shape for the total medical neighborhood. notwithstanding, for the prior two decades, many actual difficulties were resolved through pcs. This development is now changing into the norm because the significance of pcs keeps to develop. As a final inn, the specified services hired in physics should be calculated numerically, whether the analytic formula of physics is of basic value.

Airy capabilities have periodically been the topic of many evaluate articles, yet no noteworthy compilation in this topic has been released because the Fifties. during this paintings, we offer an exhaustive compilation of the present wisdom at the analytical houses of ethereal features, constructing with care the calculus implying the ethereal services.

The ebook is split into 2 components: the 1st is dedicated to the mathematical homes of ethereal features, when the second one provides a few functions of ethereal features to varied fields of physics. The examples supplied succinctly illustrate using ethereal features in classical and quantum physics.

By Edward Yu Bormashenko

The challenge of wetting and drop dynamics on quite a few surfaces is particularly attention-grabbing from either the scientificas good as thepractical point of view, and topic of excessive research.The effects are scattered throughout papers in journals, sothis workwill meet the necessity for a unifying, complete paintings

By Mary L. Boas

Now in its 3rd version, Mathematical strategies within the actual Sciences offers a entire advent to the components of mathematical physics. It combines all of the crucial math techniques into one compact, basically written reference.

By Hans Sagan

This famous textual content makes use of a constrained variety of simple thoughts and strategies — Hamilton's precept, the speculation of the 1st version and Bernoulli's separation strategy — to increase whole options to linear boundary price difficulties linked to moment order partial differential equations comparable to the issues of the vibrating string, the vibrating membrane, and warmth conduction. it's directed to complicated undergraduate and starting graduate scholars in arithmetic, utilized arithmetic, physics, and engineering who've accomplished a direction in complex calculus.
In the 1st 3 chapters, Professor Sagan introduces Hamilton's precept and the speculation of the 1st version; he then discusses the illustration of the vibrating string, the vibrating membrane and warmth conduction (without convection) by way of partial differential equations. Bernoulli's separation process and endless sequence options of homogeneous boundary worth difficulties are brought as a method for fixing those problems.
The subsequent 3 chapters soak up Fourier sequence, self-adjoint boundary worth difficulties, Legendre polynomials, and Bessel capabilities. The concluding 3 chapters tackle the characterization of eigenvalues through a variational precept; round harmonics, and the answer of the Schroedinger equation for the hydrogen atom; and the nonhomogeneous boundary worth challenge. Professor Sagan concludes so much sections of this wonderful textual content with chosen difficulties (solutions supplied for even-numbered difficulties) to enhance the reader's snatch of the theories and strategies presented.

By David H Trevena, David H. Trevena

Thirty years educating event were condensed into this concise introductory ebook on Statistical Mechanics. excellent for moment and 3rd 12 months undergraduates in physics, utilized arithmetic, actual chemistry, chemical engineering, metallurgy, fabrics technology and polymer technological know-how.

By Cedric Villani

A memoir that makes an attempt at a scientific research of convergence to desk bound kingdom for yes sessions of degenerate diffusive equations, taking the final shape ${\frac{\partial f}{\partial t}}+ L f =0

By I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner Mühlig

This advisor booklet to arithmetic includes in guide shape the elemental operating wisdom of arithmetic that is wanted as a daily consultant for operating scientists and engineers, in addition to for college students. effortless to appreciate, and handy to take advantage of, this consultant ebook supplies concisely the data essential to overview such a lot difficulties which happen in concrete functions. within the more moderen variants emphasis used to be laid on these fields of arithmetic that grew to become extra very important for the formula and modeling of technical and usual methods, specifically Numerical arithmetic, chance thought and information, in addition to details Processing. along with many improvements and new paragraphs, new sections on Geometric and Coordinate variations, Quaternions and functions, and Lie teams and Lie Algebras have been further for the 6th edition.

By Paul E. Phillipson

This ebook goals to supply mathematical analyses of nonlinear differential equations, that have proved pivotal to realizing many phenomena in physics, chemistry and biology. issues of concentration are nonlinear oscillations, deterministic chaos, solitons, reaction-diffusion-driven chemical trend formation, neuron dynamics, autocatalysis and molecular evolution. incorporated is a dialogue of tactics from the vantage of reversibility, mirrored by means of conservative classical mechanics, and irreversibility brought through the dissipative position of diffusion. each one bankruptcy provides the subject material from the purpose of 1 or a number of key equations, whose houses and outcomes are amplified through approximate analytic ideas which are constructed to help graphical exhibit of actual laptop options.

By Wolfgang Nolting

Der Grundkurs Theoretische Physik deckt in sieben Bänden alle für Diplom- und Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester nötige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Band 1 behandelt die klassische Mechanik. Vorausgesetzt wird nur die übliche Schulmathematik, andere mathematische Hilfsmittel werden zu Beginn ausführlich erläutert. Die zweifarbig gestaltete Neuauflage wurde grundlegend überarbeitet und ergänzt.