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˜The œFrenkel-Kontorova model concepts, methods, and applications par Braun, O. M. Publication : Berlin | New York Springer 2004 . xviii, 472 pages 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Capacity theory on algebraic curves par Rumely, Robert S. Publication : Berlin | Heidelberg Springer 1989 . 438 p. , Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a generalization of a theorem of Fekete and Szeg� which gives a sharp existence/finiteness criterion for algebraic points whose conjugates lie near a specified set on a curve. The book brings out a deep connection between the classical Green's functions of analysis and N�ron's local height pairings; it also points to an interpretation of capacity as a kind of intersection index in the framework of Arakelov Theory. It is a research monograph and will primarily be of interest to number theorists and algebraic geometers; because of applications of the theory, it may also be of interest to logicians. The theory presented generalizes one due to David Cantor for the projective line. As with most adelic theories, it has a local and a global part. Let /K be a smooth, complete curve over a global field; let Kv denote the algebraic closure of any completion of K. The book first develops capacity theory over local fields, defining analogues of the classical logarithmic capacity and Green's functions for sets in (Kv). It then develops a global theory, defining the capacity of a galois-stable set in (Kv) relative to an effictive global algebraic divisor. The main technical result is the construction of global algebraic functions whose logarithms closely approximate Green's functions at all places of K. These functions are used in proving the generalized Fekete-Szeg� theorem; because of their mapping properties, they may be expected to have other applications as well. 23 cm. Date : 1989 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Classical and quantum dynamics from classical paths to path integrals par Dittrich, Walter Publication : [S.l.] Springer 2001 . 386 p. , Physics students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here a detailed treatment many worked examples. This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Computing in nonlinear media & automata collectives / par Adamatzky,, Andrew. Publication : [S.l.] : Taylor & Francis, 2001 . 395 p. ; , The book gives an account of new ways to design massively parallel computing devices in advanced mathematical models (such as cellular automata and lattice swarms), and from unconventional materials, for example chemical solutions, bio-polymers and excitable media. The subject of this book is computing in excitable and reaction-diffusion media. This is one approach to novel computing methods. Other approaches include quantum and evolutionary computation, and swarm optimization. The book explains how to design computing devices in nonlinear media. This is achieved in three steps. First, cellular automaton models of reaction-diffusion and excitable computing are built. Second, natural analogies of simulated phenomena are sought. Third, working prototypes of laboratory processors are fabricated. Throughout the book it is assumed a computation is implemented using spreading waves and spatially interacting reagents. The book is full of examples of computation in cellular automata, swarms of mobile machines, thin-layer chemical liquids, insect societies, solitons, breathers and other wonders of Nature. In this book computer scientists and engineers will find blueprints inspired by Nature for the design of novel computing devices. Mathematicians will find exciting reasons to theorise. Physicists and chemists will be surprised and pleased to find that the systems they study can be used in completely new contexts. Biologists will discover that results of their field experiments also give solutions for celebrated mathematical problems. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Convex analysis and nonlinear optimization : theory and examples / par Borwein, Jonathan M. Publication : New York : Springer, 2006 . xii, 310 p. ; 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Foundations of complex systems emergence, information and prediction par Nicolis, G. Publication : Singapore | London World Scientific 2012 . xvi, 367 pages 24 cm Date : 2012 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Fractals, scaling and growth far from equilibrium par Meakin, Paul Publication : Cambridge | New York Cambridge University Press 2011 . xiv, 674 pages , First published 1998 25 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Geometrical theory of dynamical systems and fluid flows par Kambe, Tsutomu. Publication : New Jersey ; London World Scientific 2004 . 416 p. , This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. A great deal of effort has been directed toward making the description elementary, clear and concise, so that beginners will have an access to the topics. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Methods in nonlinear analysis / par Zhang,, Gongqing. Publication : Berlin ; | New York : Springer, 2005 . ix, 439 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Modern methods in the calculus of variations Lp spaces / par Fonseca, Irene Publication : [New York] Springer 2007 . 1 vol. (XIV-599 p.) , Contient des exercices. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Non-linear electromechanics par Skubov,, D. Publication : Berlin Springer 2008 . xiv, 397 p. 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Nonlinear analysis and semilinear elliptic problems / par Ambrosetti,, A. Publication : Cambridge, UK ; | New York : Cambridge University Press, 2007 . xi, 316 p. ; 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Nonlinear dynamical control systems / par Nijmeijer,, H. Publication : New York : Springer, 1996 . xiii, 467 p. : 25 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Nonlinear dynamics par Lakshmanan, Muthusamy. Publication : [S.l.] Springer 2002 . 619 p. , This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented. 25 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (2),

Nonlinear problems of elasticity / par Antman,, S. S. Publication : New York : Springer, 2005 . xviii, 831 p. : 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Nonlinear time series analysis / par Kantz,, Holger, Publication : Cambridge, UK ; | New York : Cambridge University Press, 2004 . xvi, 369 p. : 26 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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