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Le Calcul Tensoriel En Physique
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Book Synopsis Tensor Calculus for Engineers and Physicists by : Emil de Souza Sánchez Filho
Download or read book Tensor Calculus for Engineers and Physicists written by Emil de Souza Sánchez Filho and published by Springer. This book was released on 2016-05-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
Book Synopsis Tensor Calculus and Analytical Dynamics by : John G. Papastavridis
Download or read book Tensor Calculus and Analytical Dynamics written by John G. Papastavridis and published by Routledge. This book was released on 2018-12-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.
Download or read book Spinors in Physics written by Jean Hladik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles. Because of their relations to the rotation group SO(n) and the unitary group SU(n), this discussion will be of interest to applied mathematicians as well as physicists.
Book Synopsis Generalized Lorenz-Mie Theories by : Gerard Gouesbet
Download or read book Generalized Lorenz-Mie Theories written by Gerard Gouesbet and published by Springer Science & Business Media. This book was released on 2011-02-08 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lorenz-Mie theory, describing the interaction between a homogeneous sphere and an electromagnetic plane wave, is likely to be one of the most famous theories in light scattering. But, with the advent of lasers and their increasing development in various fields, it has become too old-fashioned to meet most of the modern requisites. The book deals with generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam, relying on the method of separation of variables. A particular emphasis is stressed on the case of the homogeneous sphere but other regular particles are considered too. An extensive discussion of the methods available to the evaluation of beam shape coefficients describing the illuminating beam is provided, and several methods are discussed. Applications concern many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances, or mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Various computer programs relevant to the contents of the book are furthermore provided.
Book Synopsis Learning the Physics of Einstein with Georges Lemaître by : Georges Lemaître
Download or read book Learning the Physics of Einstein with Georges Lemaître written by Georges Lemaître and published by Springer Nature. This book was released on 2019-11-26 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first English translation of the original French treatise “La Physique d’Einstein” written by the young Georges Lemaître in 1922, only six years after the publication of Albert Einstein’s theory of General Relativity. It includes an historical introduction and a critical edition of the original treatise in French supplemented by the author’s own later additions and corrections. Monsignor Georges Lemaître can be considered the founder of the “Big Bang Theory” and a visionary architect of modern Cosmology. The scientific community is only beginning to grasp the full extent of the legacy of this towering figure of 20th century physics. Against the best advice of the greatest names of his time, the young Lemaître was convinced, solely through the study of Einstein’s theory of General Relativity, that space and time must have had a beginning with a tremendous “Big Bang” from a “quantum primeval atom” resulting in an ever-expanding Universe with a positive cosmological constant. But how did the young Lemaître, essentially on his own, come to grips with the physics of Einstein? A year before his ordination as a diocesan priest, he submitted the audacious treatise, published in this book, that was to earn him Fellowships to study at Cambridge, MIT and Harvard, and launched him on a scientific path of ground-breaking discoveries. Almost a century after Lemaître’s seminal publications of 1927 and 1931, this highly pedagogical treatise is still of timely interest to young minds and remains of great value from a history of science perspective.
Book Synopsis Generalized Lorenz-Mie Theories by : Gérard Gouesbet
Download or read book Generalized Lorenz-Mie Theories written by Gérard Gouesbet and published by Springer. This book was released on 2017-02-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores generalized Lorenz–Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. The new edition includes an additional chapter covering the latest advances in both research and applications, which are highly relevant for readers. Although it particularly focuses on the homogeneous sphere, the book also considers other regular particles. It discusses in detail the methods available for evaluating beam shape coefficients describing the illuminating beam. In addition it features applications used in many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances and the mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Furthermore, it provides various computer programs relevant to the content.
Book Synopsis Modélisation et simulation numériques en formage virtuel by : SAANOUNI Khemais
Download or read book Modélisation et simulation numériques en formage virtuel written by SAANOUNI Khemais and published by Lavoisier. This book was released on 2012-04-16 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage fait le point sur les méthodes actuelles les plus performantes pour modéliser, simuler et optimiser les procédés de mise en forme des structures minces et massives et d'en donner les tendances des nouvelles méthodes innovantes actuellement en cours de développement et qui feront à n'en pas douter les "outils" industriels de demain dans le domaine du formage virtuel. Par rapport aux ouvrages récents dédiés aux méthodes numériques en mise en forme, le principal apport de ce livre se trouve rassemblé au deuxième chapitre qui concerne le développement des modèles de comportement multiphysiques à fortes capacités prédictives, utilisables dans les codes de calcul des structures pour simuler et optimiser tous types de procédés de mise en forme par grandes déformations irréversibles de structures métalliques minces et/ou massives et leur "optimisation" vis-à-vis de l'avènement de l'endommagement ductile.
Download or read book Fluid Dynamics written by Michel Rieutord and published by Springer. This book was released on 2014-12-26 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to readers who want to learn fluid dynamics from the beginning. It assumes a basic level of mathematics knowledge that would correspond to that of most second-year undergraduate physics students and examines fluid dynamics from a physicist’s perspective. As such, the examples used primarily come from our environment on Earth and, where possible, from astrophysics. The text is arranged in a progressive and educational format, aimed at leading readers from the simplest basics to more complex matters like turbulence and magnetohydrodynamics. Exercises at the end of each chapter help readers to test their understanding of the subject (solutions are provided at the end of the book), and a special chapter is devoted to introducing selected aspects of mathematics that beginners may not be familiar with, so as to make the book self-contained.
Book Synopsis Plastic Deformation of Minerals and Rocks by : Shun-ichiro Karato
Download or read book Plastic Deformation of Minerals and Rocks written by Shun-ichiro Karato and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-12-17 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 51 of Reviews in Mineralogy and Geochemistry highlights some of the frontiers in the study of plastic deformation of minerals and rocks. This book reviews large-strain shear deformation and deformation experiments under ultrahigh pressures; the issues of deformation of crustal rocks and the upper mantle; the interplay of partial melting and deformation; the new results of ultrahigh pressure deformation of deep mantle minerals; the stability of deformation under deep mantle conditions with special reference to phase transformations and their relationship to the origin of intermediate depth and deep-focus earthquakes; a detailed description of fracture mechanisms of ice; of experimental and theoretical studies on seismic wave attenuation; the relationship between crystal preferred orientation and macroscopic anisotropy; recent progress in poly-crystal plasticity to model the development of anisotropic fabrics both at the microscopic and macroscopic scale; a thorough review of seismic anisotropy of the upper mantle covering the vast regions of geodynamic interests and the theoretical aspects of shear localization. All chapters contain extensive reference lists to guide readers to the more specialized literature. This volume was written for a workshop, in December 2002 in Emeryville, California.
Book Synopsis Journal de physique, théorique et appliquée by :
Download or read book Journal de physique, théorique et appliquée written by and published by . This book was released on 1923 with total page 2250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning in 1920, contains section on bibliography and since 1928 minutes and résumeés of the society's proceedings, as well as other supplementary material (often separately paged).
Book Synopsis Mathematics for Physics and Physicists by : Walter Appel
Download or read book Mathematics for Physics and Physicists written by Walter Appel and published by . This book was released on 2007 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to show graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. This book details numerous topics from the frontiers of modern physics and mathematics such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and others.
Book Synopsis Hidden Worlds in Quantum Physics by : Gerard Gouesbet
Download or read book Hidden Worlds in Quantum Physics written by Gerard Gouesbet and published by Courier Corporation. This book was released on 2014-01-15 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: With its emphasis on the history and philosophical foundations of physics, this book will interest lay readers as well as students and professionals. The distinguished author discusses pioneers in the field, including Pauli, Einstein, Bohr, and de Broglie. Topics include hidden-variable and causal theories, pilot wave, and Schrödinger's equation. 2013 edition.
Book Synopsis High-Field Electrodynamics by : Frederic V. Hartemann
Download or read book High-Field Electrodynamics written by Frederic V. Hartemann and published by CRC Press. This book was released on 2001-12-27 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tremendous technological developments and rapid progress in theory have opened a new area of modern physics called high-field electrodynamics: the systematic study of the interaction of relativistic electrons or positrons with ultrahigh-intensity, coherent electromagnetic radiation. This advanced undergraduate/graduate-level text provides a
Book Synopsis Damage Mechanics in Metal Forming by : Khemais Saanouni
Download or read book Damage Mechanics in Metal Forming written by Khemais Saanouni and published by John Wiley & Sons. This book was released on 2013-02-04 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to summarize the current most effective methods for modeling, simulating, and optimizing metal forming processes, and to present the main features of new, innovative methods currently being developed which will no doubt be the industrial tools of tomorrow. It discusses damage (or defect) prediction in virtual metal forming, using advanced multiphysical and multiscale fully coupled constitutive equations. Theoretical formulation, numerical aspects as well as application to various sheet and bulk metal forming are presented in detail. Virtual metal forming is nowadays inescapable when looking to optimize numerically various metal forming processes in order to design advanced mechanical components. To do this, highly predictive constitutive equations accounting for the full coupling between various physical phenomena at various scales under large deformation including the ductile damage occurrence are required. In addition, fully 3D adaptive numerical methods related to time and space discretization are required in order to solve accurately the associated initial and boundary value problems. This book focuses on these two main and complementary aspects with application to a wide range of metal forming and machining processes. Contents 1. Elements of Continuum Mechanics and Thermodynamics. 2. Thermomechanically-Consistent Modeling of the Metals Behavior with Ductile Damage. 3. Numerical Methods for Solving Metal Forming Problems. 4. Application to Virtual Metal Forming.
Download or read book Annales de physique written by and published by . This book was released on 1923 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Michael A Slawinski Publisher :World Scientific Publishing Company ISBN 13 :9814644218 Total Pages :654 pages Book Rating :4.8/5 (146 download)
Book Synopsis Waves And Rays In Elastic Continua (3rd Edition) by : Michael A Slawinski
Download or read book Waves And Rays In Elastic Continua (3rd Edition) written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2014-12-15 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.
Book Synopsis Waves And Rays In Elastic Continua (Fourth Edition) by : Michael A Slawinski
Download or read book Waves And Rays In Elastic Continua (Fourth Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-09-24 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.
