Catalogue Bibliothèque de L'IMIST/CNRST › Résultats de la recherche pour 'ccl=su:Nonlinear theories'

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		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), Réserver Ajouter au panier (Supprimer)
		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), Réserver Ajouter au panier (Supprimer)
		Introduction to nonlinear physics. Publication : [S.l.] : Springer, 2003 . 417 p. ; , This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Nonlinear equations in the applied sciences / Publication : . 1 online resource (ix, 475 pages) : Disponibilité : http://www.sciencedirect.com/science/book/9780120567522, http://www.sciencedirect.com/science/publication?issn=00765392&volume=185, Ajouter au panier (Supprimer)
		An introduction to nonlinear boundary value problems / par Bernfeld, Stephen R. Publication : . 1 online resource (xi, 386 pages) Disponibilité : http://www.sciencedirect.com/science/book/9780120931507, http://www.sciencedirect.com/science/publication?issn=00765392&volume=109, Ajouter au panier (Supprimer)
		Methods of nonlinear analysis. Vol. 2 / par Bellman, Richard, Publication : . 1 online resource (xvii, 261 pages) : Disponibilité : http://www.sciencedirect.com/science/book/9780120849024, Ajouter au panier (Supprimer)
		Nonlinear processes in engineering : dynamic programming, invariant imbedding, quasilinearization, finite elements, system identification, optimization / par Distéfano, Néstor. Publication : . 1 online resource (xvii, 366 pages) : Disponibilité : http://www.sciencedirect.com/science/book/9780122180507, Ajouter au panier (Supprimer)