Author: Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 692
Book Description
Proceedings
Author: Revue Semestrielle Des Publications Mathématiques
Author: Tensor Calculus and Analytical Dynamics
Author: John G. PapastavridisPublisher: Routledge
ISBN: 1351411616
Category : Mathematics
Languages : en
Pages : 444
Book Description
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.
Patterns, Defects and Materials Instabilities
Author: D. WalgraefPublisher: Springer Science & Business Media
ISBN: 9400905939
Category : Technology & Engineering
Languages : en
Pages : 396
Book Description
Understanding the origin of spatio-temporal order in open systems far from thermal equilibrium and the selection mechanisms of spatial struc tures and their symmetries is a major theme of present day research into the structures of continuous matter. The development of methods for pro ducing spatially ordered microstructures in solids by non-equilibrium methods opens the door to many technological applications. It is also be lieved that the key to laminar/turbulence transitions in fluids lies in the achievement of spatio-temporal order. Let us also emphasize the fact that the idea of self-organization in it self is at the origin of a reconceptualisation of science. Indeed, the appear ance of order which usually has been associated with equilibrium phase transitions appears to be characteristic of systems far from thermal equi librium. This phenomenon which was considered exceptional at first now the rule in driven systems. The chemical oscillations obtained appears to be in the Belousov-Zhabotinskii reaction were initially considered to be ther modynamically impossible and were rejected by a large number of chemists. Now these oscillations and related phenomena (waves, chaos, etc. ) are the subject of intensive research and new classes of chemical oscil lators have been recently discovered. Even living organisms have long been considered as the result of chance rather than necessity. Such points of view are now abandoned under the overwhelming influence of spatio-tem poral organization phenomena in various domains ranging from physics to biology via chemistry, nonlinear optics, and materials science .
A History of Vector Analysis
Author: Michael J. CrowePublisher: Courier Corporation
ISBN: 0486679101
Category : Mathematics
Languages : en
Pages : 306
Book Description
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Tensor Calculus for Engineers and Physicists
Author: Emil de Souza Sánchez FilhoPublisher: Springer
ISBN: 331931520X
Category : Technology & Engineering
Languages : en
Pages : 370
Book Description
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.
International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics
Author: International Association for Promoting the Study of Quaternions and Allied Systems of MathematicsPublisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 196
Book Description
List of members in each number.
On the Teaching of Linear Algebra
Author: J.-L. DorierPublisher: Springer Science & Business Media
ISBN: 0306472244
Category : Education
Languages : en
Pages : 302
Book Description
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
The Mathematical Gazette
Author: Turbulent Shear Flows 6
Author: Jean-Claude AndrePublisher: Springer Science & Business Media
ISBN: 3642739482
Category : Science
Languages : en
Pages : 455
Book Description
Since the inaugural symposium at the Pennsylvania State University in 1977, the venues for the series of biennial symposia on turbulent shear flows have alternated between the USA and Europe. For the Sixth Symposium, the first to be held in France, the city of Toulouse proved a natura] choice, being a centre for the aerospace industry, meteorological research and higher education. The meeting was hosted by the Paul Sabatier University on the southern perimeter of the city, and there nearly 300 workers in the field of turbulence converged to pronounce upon, debate and absorb the current issues in turbulent shear flows and to enjoy the unfailing September sunshine. The meeting had attracted more than 200 offers of papers from which just over 100 full papers and about 20 shorter communications in open forums could be accommodated. The present volume contains 28 of the original symposium presentations selected by the editors. Each contribution has been revised by its authors - sometimes quite extensively -in the light of the oral presentation. It is our hope that the selection provides a substantial statement of permanent interest on current research in the five areas covered by this book, i.e. fundamentals and closures, scalar transport and geophysical flows, aerodynamic flows, complex flows, and numerical simulations.