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Author : J. F. Pommaret
Publisher : CRC Press
Page : 612 pages
File Size : 40,7 Mb
Release : 1988
Category : Mathematics
ISBN : 2881242138
Author : Yong Gan
Publisher : BoD – Books on Demand
Page : 170 pages
File Size : 47,9 Mb
Release : 2012-03-28
Category : Technology & Engineering
ISBN : 9789535104476
Continuum Mechanics is the foundation for Applied Mechanics. There are numerous books on Continuum Mechanics with the main focus on the macroscale mechanical behavior of materials. Unlike classical Continuum Mechanics books, this book summarizes the advances of Continuum Mechanics in several defined areas. Emphasis is placed on the application aspect. The applications described in the book cover energy materials and systems (fuel cell materials and electrodes), materials removal, and mechanical response/deformation of structural components including plates, pipelines etc. Researchers from different fields should be benefited from reading the mechanics approached to real engineering problems.
Author : Anatoliĭ Moiseevich Vershik,Dmitriĭ Petrovich Zhelobenko
Publisher : CRC Press
Page : 576 pages
File Size : 51,9 Mb
Release : 1990
Category : Mathematics
ISBN : 2881246788
Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Author : Nail H. Ibragimov
Publisher : CRC Press
Page : 572 pages
File Size : 54,6 Mb
Release : 1995-10-24
Category : Mathematics
ISBN : 0849394198
Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Author : A. T. Fomenko,V. V. Trofimov
Publisher : CRC Press
Page : 316 pages
File Size : 49,7 Mb
Release : 1988
Category : Mathematics
ISBN : 2881241700
Second volume in the series, translated from the Russian, sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. Begins by constructing the algebraic embeddings in Lie algebras of Hamiltonian systems, going on to present effective methods for constructing complete sets of functions in involution on orbits of coadjoint representations of Lie groups. Ends with the proof of the full integrability of a wide range of many- parameter families of Hamiltonian systems that allow algebraicization. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Anonim
Publisher : Unknown
Page : 1208 pages
File Size : 54,9 Mb
Release : 1995
Category : Mechanics, Applied
ISBN : UCSD:31822020354148
Author : Marie-Paule Malliavin
Publisher : Springer
Page : 280 pages
File Size : 46,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540475927
These proceedings reflect the main activities of the Paris Séminaire d'Algèbre 1989-1990, with a series of papers in Invariant Theory, Representation Theory and Combinatorics. It contains original works from J. Dixmier, F. Dumas, D. Krob, P. Pragacz and B.J. Schmid, as well as a new presentation of Derived Categories by J.E. Björk and as introduction to the deformation theory of Lie equations by J.F. Pommaret. J. Dixmier: Sur les invariants du groupe symétrique dans certaines représentations II.- B.J. Schmid: Finite groups and invariant theory.- J.E. Björk: Derived categories.- P. Pragacz: Algebro-Geometric applications of Schur S- and Q-polynomials.- F. Dumas: Sous-corps de fractions rationnelles des corps gauches de séries de Laurent.- D. Krob: Expressions rationnelles sur un anneau.- J.F. Pommaret: Deformation theory of algebraic and Geometric structures.- M. van den Bergh: Differential operators on semi-invariants for tori and weighted projective spaces.
Author : Gérard Cohen,Marc Giusti,Teo Mora
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 44,6 Mb
Release : 1995
Category : Algebra
ISBN : 3540601147
This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995. The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.
Author : Alberto Cogliati
Publisher : Academic Press
Page : 304 pages
File Size : 41,5 Mb
Release : 2017-10-31
Category : Mathematics
ISBN : 9780128142745
Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups. Discusses the origins of the theory of moving frames and the geometrical theory of Lie groups Reviews Cartan’s revolutionary contributions to Lie group theory and differential geometry Evaluates many unpublished sources that shed light on important aspects of the historical development of Lie algebras
Author : Ercüment H. Ortaçgil
Publisher : Oxford University Press
Page : 240 pages
File Size : 55,5 Mb
Release : 2018-06-28
Category : Mathematics
ISBN : 9780192554840
This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing material on this classical subject, Professor Ortaçgil instead questions the foundations of the subject, and proposes a new direction. Aimed at the curious and courageous mathematician, this book aims to provoke further debate and inspire further development of this original research.
Author : Robert Kay,Jaqueline Alder
Publisher : CRC Press
Page : 400 pages
File Size : 42,5 Mb
Release : 1998-12-17
Category : Architecture
ISBN : 041924350X
This book is the first comprehensive guide for coastal planners and those aiming to achieve effective coastal management world-wide. The book is to assist in the sustainable development and use of the world's coastal zones by providing a blueprint for planners and managers who want to produce integrated coastal management plans. Coastal Planning and Management provides a link between planning and management tools and draws on examples of successful coastal planning and management from around the world including North America, Europe, Asia, Indo-Pacific, Africa and the Middle East, the authors are able to provide clear and practical guidelines for the people who make daily decisions about the world's coastlines.
Author : M. A. Akivis,B. A. Rosenfeld
Publisher : American Mathematical Soc.
Page : 334 pages
File Size : 50,8 Mb
Release : 2011-07-14
Category : Mathematics
ISBN : 9780821853559
This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.
Author : Tsvi Piran,Remo Ruffini
Publisher : World Scientific
Page : 1776 pages
File Size : 45,5 Mb
Release : 1999-05-14
Category : Electronic
ISBN : 9789814543910
Since 1975, the Marcel Grossmann Meetings have been organized to provide opportunities for discussing recent advances in gravitation, general relativity and relativistic field theories, emphasizing mathematical foundations, physical predictions and experimental tests. The objective of these meetings is to facilitate exchange among scientists that may deepen our understanding of space-time structures and to review the status of ongoing experiments aimed at testing Einstein's theory of gravitation from either the ground or space.The Eighth Marcel Grossmann Meeting took place on 22-27 June, 1997, at the Hebrew University of Jerusalem, Israel. The scientific program included 25 plenary talks and 40 parallel sessions during which 400 papers were presented. The papers that appear in this book cover all aspects of gravitation, from mathematical issues to recent observations and experiments.
Author : J.F. Pommaret
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 54,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401725392
Ordinary differential control thPory (the classical theory) studies input/output re lations defined by systems of ordinary differential equations (ODE). The various con cepts that can be introduced (controllability, observability, invertibility, etc. ) must be tested on formal objects (matrices, vector fields, etc. ) by means of formal operations (multiplication, bracket, rank, etc. ), but without appealing to the explicit integration (search for trajectories, etc. ) of the given ODE. Many partial results have been re cently unified by means of new formal methods coming from differential geometry and differential algebra. However, certain problems (invariance, equivalence, linearization, etc. ) naturally lead to systems of partial differential equations (PDE). More generally, partial differential control theory studies input/output relations defined by systems of PDE (mechanics, thermodynamics, hydrodynamics, plasma physics, robotics, etc. ). One of the aims of this book is to extend the preceding con cepts to this new situation, where, of course, functional analysis and/or a dynamical system approach cannot be used. A link will be exhibited between this domain of applied mathematics and the famous 'Backlund problem', existing in the study of solitary waves or solitons. In particular, we shall show how the methods of differ ential elimination presented here will allow us to determine compatibility conditions on input and/or output as a better understanding of the foundations of control the ory. At the same time we shall unify differential geometry and differential algebra in a new framework, called differential algebraic geometry.
Author : A.T. Fomenko
Publisher : CRC Press
Page : 488 pages
File Size : 52,5 Mb
Release : 1995-11-30
Category : Mathematics
ISBN : 2881249019