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Elements De Calcul Tensoriel
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Book Synopsis Éléments de Calcul Tensoriel. Elements of Tensor Calculus ... Translated by J.W. Leech ... and D.J. Newman by : André Lichnerowicz
Download or read book Éléments de Calcul Tensoriel. Elements of Tensor Calculus ... Translated by J.W. Leech ... and D.J. Newman written by André Lichnerowicz and published by . This book was released on 1962 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Tensor Calculus by : A. Lichnerowicz
Download or read book Elements of Tensor Calculus written by A. Lichnerowicz and published by Courier Dover Publications. This book was released on 2016-04-10 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra, curvilinear coordinates in Euclidean space, and Riemannian spaces. Part II examines the use of tensors in classical analytical dynamics and details the role of tensors in special relativity theory. The book concludes with a brief presentation of the field equations of general relativity theory.
Book Synopsis Elements of Tensor Calculus by : André Lichnerowicz
Download or read book Elements of Tensor Calculus written by André Lichnerowicz and published by . This book was released on 1962 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Éléments de calcul tensoriel by : André Lichnerowicz
Download or read book Éléments de calcul tensoriel written by André Lichnerowicz and published by . This book was released on 1955 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Eléments of Tensor Calculus by : André Lichnerowicz
Download or read book Eléments of Tensor Calculus written by André Lichnerowicz and published by . This book was released on 1958 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry Applied To Dynamical Systems (With Cd-rom) by : Jean-marc Ginoux
Download or read book Differential Geometry Applied To Dynamical Systems (With Cd-rom) written by Jean-marc Ginoux and published by World Scientific. This book was released on 2009-04-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes).In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.
Book Synopsis Eléments de calcul tensoriel by : André Lichnerowicz
Download or read book Eléments de calcul tensoriel written by André Lichnerowicz and published by . This book was released on 1987 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite Element Method for Elliptic Problems by : Philippe G. Ciarlet
Download or read book The Finite Element Method for Elliptic Problems written by Philippe G. Ciarlet and published by SIAM. This book was released on 2002-01-01 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.
Book Synopsis Orthogonal and Symplectic Clifford Algebras by : A. Crumeyrolle
Download or read book Orthogonal and Symplectic Clifford Algebras written by A. Crumeyrolle and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diffusion Phenomena by : Richard Ghez
Download or read book Diffusion Phenomena written by Richard Ghez and published by Courier Dover Publications. This book was released on 2018-12-18 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative test introduces the basic aspects of diffusion phenomena and their methods of solution through physical examples. It emphasizes modeling and methodology, bridging the gap between physico chemical statements of certain kinetic processes and their reduction to diffusion problems. Author Richard Ghez draws upon his experience in the areas of metallurgy and semiconductor technology to present physically significant examples that will prove of interest to a wide range of scientists — physicists, chemists, biologists, and applied mathematicians. Prerequisites include a rigorous year of calculus and a semester of thermodynamics. The opening chapter on the diffusion equation is succeeded by chapters on steady-state examples, diffusion under external forces, and simple time-dependent examples. An introduction to similarity is followed by explorations of surface rate limitations and segregation, a user's guide to the Laplace transform, and further time-dependent examples.
Book Synopsis Differential Geometry with Applications to Mechanics and Physics by : Yves Talpaert
Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
Download or read book French Bibliographical Digest written by and published by . This book was released on 1953 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computing Methods in Applied Sciences and Engineering by : R. Glowinski
Download or read book Computing Methods in Applied Sciences and Engineering written by R. Glowinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: IRIA LABORIA, Institut de Recherche d'Informatique et d'Automatique
Book Synopsis Principles of Theoretical Neurophysiology by : Arnaldo Arduini
Download or read book Principles of Theoretical Neurophysiology written by Arnaldo Arduini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book has two origins, one very remote, the other nearer and more contingent. The first goes back to the time when I initiated my career as a neurophysiologist in Pisa, a small town with the advantage of a highly stimulating atmosphere created by two famous institutions, the University and the Scuola Normale Superiore. It came quite natur ally, then, while engaged in experimental work, to start brooding over the possible analogies between neurophysiological problems and those of the physical world. This slowly induced me to become less interested in the solution of the innumerable specific problems presented by the brain, and more in the general principles on which the brain function might be based. Certainly, for several years I had no clear idea of my purposes, or of the difficulties I could encounter in the task. However, it was clear enough that there ought to be a first, indispensable step: the search for methods of quantification of nervous activity, the sole way of allowing predictions about its behavior. At first, I somehow followed the fashion of the time, experiencing the impact of information theory on neurophysiology, but soon this was revealed as unsatisfactory, since it was only one aspect of the problem, and what I was interested in was not a way of describing the flow of information, but rather, the laws of the machinery.
Book Synopsis 5: Elements de calcul tensoriel by :
Download or read book 5: Elements de calcul tensoriel written by and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
