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Erscheinungsdatum: 28.10.2011, Medium: Buch, Einband: Gebunden, Titel: A Relativist's Toolkit, Titelzusatz: The Mathematics of Black-Hole Mechanics, Autor: Poisson, Eric, Verlag: Cambridge University Press, Sprache: Englisch, Schlagworte: SCIENCE // Physics // Relativity, Rubrik: Theoretische Physik, Seiten: 250, Informationen: HC gerader Rücken kaschiert, Gewicht: 619 gr, Verkäufer: averdo

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Erscheinungsdatum: 01/2010, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Poisson's Equation, Titelzusatz: Mathematics, Partial Differential Equation, Electrostatics, Mechanical Engineering, Theoretical Physics, List of Geometers, Physicist, Siméon Denis Poisson, Laplace Operator, Redaktion: Surhone, Lambert M. // Timpledon, Miriam T. // Marseken, Susan F., Verlag: Betascript Publishers, Sprache: Englisch, Rubrik: Physik // Astronomie, Sonstiges, Seiten: 156, Informationen: Paperback, Gewicht: 249 gr, Verkäufer: averdo

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58,93 € *

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This textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses. The book starts with a thorough introduction into Lagrangian mechanics, detailing the d'Alembert principle, Hamilton's principle and conservation laws. It continues with an in-depth explanation of Hamiltonian mechanics, illustrated by canonical and Legendre transformation, the generalization to quantum mechanics through Poisson brackets and all relevant variational principles. Finally, the Hamilton-Jacobi theory and the transition to wave mechanics are presented in detail. Ideally suited to undergraduate students with some grounding in classical mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding. The text is supported by numerous worked examples and end of chapter problem sets. About the Theoretical Physics series Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding. Wolfgang Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.

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High Quality Content by WIKIPEDIA articles! In mathematics, Poisson's equation is a partial differential equation with broad utility in electrostatics, mechanical engineering and theoretical physics. It is named after the French mathematician, geometer and physicist Siméon-Denis Poisson. The Poisson equation may be solved using a Green's function, a general exposition of the Green's function for the Poisson equation is given in the article on the screened Poisson equation. There are various methods for numerical solution. The relaxation method, an iterative algorithm, is one example.

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In this book, we have, as the object, to discuss under the title : Historical Development of Classical Physico-Mathematics, after studying our thesis : Historical Development of Classical Fluid Dynamics, which includes the theoretical formulation of the microscopically-descriptive hydrodynamical equations, the gas equation, above all, the Navier-Stokes equations. The contents of current book consist of the following six parts entitled with : (Part 1) The Theories of Mathematical Physics in Classical Fluid Dynamics. (Part 2) The Definite Integral by Euler, Lagrange and Laplace from the Viewpoint of Poisson. (Part 3) Confusion on Continuum and Unity in Mathematics. (Part 4) The Wave Equations as the Model of the Schrödinger Equations. (Part 5) The Earlier Toil and Moil in Proving on the Describability of Trigonometric Series. (Part 6) La Valeur Particulière and the Eigenvalue. We introduce French and German originals, which are important evidences for the historical fact. The word 'Physico-Mathematics' in title owes to Poisson's introduction of life rival, Fourier : by the number and the variety of the problems, this theory becomes then a new branch of 'Physico-Mathematics'.

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This thesis discusses Lévy processes and Lévy copulas. In connection with Lévy processes we treat some of the theory behind infinitely divisible distributions, acknowledging that the two classes are equivalent.Within the class of Lévy processes we will mostly look at stable processes and compound Poisson processes. The theory of Lévy processes dates back to the late 1920 s, after de Finetti first introduced the class of infinitely divisible distributions. Since then Lévy processes have become popular tools for modelling in finance, insurance and physics. Lévy copulas were introduced by Peter Tankov in 2003 in order to model dependency between different components of a multivariate Lévy process. In the last part of the book we present an application of Lévy copulas in non-life insurance and ruin theory of a Lévy copula. Through this example we will discuss aspects regarding estimation of the parameters and goodness of fit.

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This book is designed as an advanced guide for experiments in Modern Physics. It covers many topics of practical statistics methods applied in Physics: measurement and uncertainties, error propagation method, statistical analysis and graphs, the least square method (regression analysis), Gaussian Distribution, Poisson Distribution, Error propagation and probable errors, Differential error analysis, Covariance ellipse, the method of the least squares in connection with the maximum likelihood, covariance ellipse and determination of the energy calibration-channel numbers (K energies), Moseley Law, etc. It is included the deduction of many formulas and statistical analysis in order to clear the concepts of the statistical methods applied in Physics. It is hoped that this book fills all needs of the students to get the fundaments of the statistical methods and to achieve the interest and motivation of the students for this topic.

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128,39 € *

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The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the final chapters. All the prerequisites on commutative algebra and algebraic geometry are included.

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