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˜The œphysics of vibrations and waves, 6th edition / par Pain,, H. J. Publication : [S.l.] : Wiley, 2005 . 576 p. ; , The main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics. This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role of phonons is also discussed. An Optical Transform is used to demonstrate the modern method of lens testing. In the last two chapters the sections on chaos and solitons have been reduced but their essential contents remain. As with earlier editions, the book has a large number of problems together with hints on how to solve them. The Physics of Vibrations and Waves, 6th Edition will prove invaluable for students taking a first full course in the subject across a variety of disciplines particularly physics, engineering and mathematics. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Analytical methods for problems of molecular transport / par Ivchenko, I.N. Publication : [S.l.] : Springer, 2007 . 409 p. ; , The Kinetic Theory of Gases has applications in many areas of science and technology as well as in our understandings of many natural processes and phenomena from the nano-scale up to the cosmic-scale. Some of the fields and topics affected include manufacturing, health care, weather, defence, pollution, aerospace science and engineering, and others. In particular, the interactions of rarefied gases with surfaces are of great interest because such interactions can have pronounced effects on the behaviour exhibited by those systems in all of the above fields. Such fundamental things as the transfer of mass, momentum, and energy between the components of a system can be significantly altered by such interactions. Collectively this transfer is typically described in terms of Rarefied Gas Dynamics and Transport Theory which generally go hand-in-hand with the Kinetic Theory of Gases. When this transport involves small particles suspended in a gas such as air, it is typically termed Aerosol Mechanics. Thus, this book should prove to be a very useful tool in virtually all application areas involving the Kinetic Theory of Gases, Rarefied Gas Dynamics, Transport Theory, and Aerosol Mechanics. This book is designed to serve a dual function. It is intended that it be capable of serving as a teaching instrument, either in a classroom environment or independently, for the study of basic analytical methods and mathematical techniques that may be used in the Kinetic Theory of Gases and is primarily suitable for use in graduate level physics and engineering courses on the subject. This book should also prove to be useful as a reference for scientists and engineers working in the fields of Rarefied Gas Dynamics and Aerosol Mechanics. In addition, the material in this book may prove to be of interest to individuals working in such areas as Physical Chemistry, Chemical Engineering, or any other applied discipline in which gas-surface interactions can be expected to play a significant role. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Dynamical systems X : general theory of vortices / par Kozlov, V.V. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002 . 190 p. ; , ReliØ. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Laser aided diagnostics of gases and plasmas / par Muraoka,, K. Publication : [S.l.] : Taylor & Francis, 2002 . 200 p. ; , Laser-Aided Diagnostics of Gases and Plasmas is an updated and revised translation of the original Japanese edition. The authors have taken a unique approach in treating laser aided diagnostics as a unified subject instead of the usual and disjointed approach of describing each application as a totally separate system. In taking this approach, they highlight the relative strengths of each method and show how they can compliment each other in the study of gases and plasmas. The first part provides a general introduction to the laser-aided study of gases and plasmas, including the various principles and hardware needed for each method whilst the second part describes the applications of each general system in detail. This book will provide a useful tool for a wide spectrum of researchers, both academic and industrial, involved in the analysis and diagnostics of gases and plasmas and give a deeper insight and understanding of the various options and methods available when making such studies. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Modlisation mathématique et mécanique des milieux continus par Temam, Roger. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2008 . 284 p. ; , Broché. 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Operator approach in linear problems of hydrodynamics par Kopachevsky,, Nikolay D. Publication : [S.l.] Birkhäuser Basel 2001 . 384 p. , This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The work relies on the authors' and their students' works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, self-adjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

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P-adic deterministic and random dynamics / par Khrennikov,, Andrei Y. Publication : [S.l.] : Springer, 2004 . 270 p. ; , This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Archimedean analysis. Investigations on p-adic dynamical systems are motivated by physical applications (p-adic string theory, p-adic quantum mechanics and field theory, spin glasses) as well as natural inclination of mathematicians to generalize any theory as much as possible (e.g., to consider dynamics not only in the fields of real and complex numbers, but also in the fields of p-adic numbers). The main part of the book is devoted to discrete dynamical systems: cyclic behavior (especially when p goes to infinity), ergodicity, fuzzy cycles, dynamics in algebraic extensions, conjugate maps, small denominators. There are also studied p-adic random dynamical system, especially Markovian behavior (depending on p). In 1997 one of the authors proposed to apply p-adic dynamical systems for modeling of cognitive processes. In applications to cognitive science the crucial role is played not by the algebraic structure of fields of p-adic numbers, but by their tree-like hierarchical structures. In this book there is presented a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. There are also studied p-adic neural network and their applications to cognitive sciences: learning algorithms, memory recalling. Finally, there are considered wavelets on general ultrametric spaces, developed corresponding calculus of pseudo-differential operators and considered cognitive applications. Audience: This book will be of interest to mathematicians working in the theory of dynamical systems, number theory, algebraic geometry, non-Archimedean analysis as well as general functional analysis, theory of pseudo-differential operators; physicists working in string theory, quantum mechanics, field theory, spin glasses; psychologists and other scientists working in cognitive sciences and even mathematically oriented philosophers. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Relativistic numerical hydrodynamics / par Wilson,, James R. Publication : [S.l.] : Cambridge University Press, 2003 . 232 p. ; , Calculations of relativistic hydrodynamics are crucial to several areas of current research in the physics of supernovae and stellar collapse. This book provides an overview of the computational framework in which such calculations have been developed, with examples of applications to real physical systems. Beginning with the development of the equations and differencing schemes for special relativistic hydrodynamics, the book stresses the viability of the Euler-Lagrange approach to most astrophysical problems. It details aspects of solving the Einstein equations together with the fluid dynamics for various astrophysical systems in one, two and three dimensions. 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Speakable and unspeakable in quantum mechanics : collected papers on quantum philosophy / par Bell, J. S. Publication : [S.l.] : Cambridge University Press, 2004 . 288 p. ; , This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding of the profound nature of quantum concepts. First edition Hb (1987): 0-521-33495-0 First edition Pb (1988): 0-521-36869-3. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Wave propagation and time reversal in randomly layered media / par Fouque, Jean-Pierre. Publication : [S.l.] : Springer, 2007 . 612 p. ; , Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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