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

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		Functional methods in differential equations par Hokkanen, Veli-Matti. Publication : Boca Raton Chapman and Hall/CRC 2002 . xiii, 243 pages 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Introduction to functional analysis par Meise, Reinhold, Publication : Oxford \| New York Clarendon Press \| Oxford University Press 1997 . x, 437 pages 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Pas d'image disponible Introduction to symplectic dirac operators / par Habermann, Katharina. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2006 . 124 p. ; , BrochØ. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Introductory functional analysis : with applications to boundary value problems and finite elements / par Reddy,, B. Daya. Publication : [S.l.] : Springer, 1997 . 492 p. ; , This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Jordan structures in geometry and analysis par Chu, Cho-Ho. Publication : Cambridge, UK \| New York Cambridge University Press 2012 . x, 261 pages 23 cm. Date : 2012 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Locally convex spaces over non-Archimedean valued fields par Perez-Garcia, C. Publication : Cambridge, UK \| New York Cambridge University Press 2010 . xiv, 472 pages , "Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines"--Provided by publisher. \| "LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS"--Provided by publisher. 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Mathematical analysis and numerical methods for science and technology : physical origins and classical methods / Volume 1 : par Dautray, Robert. Publication : [S.l.] : Springer, 2000 . 722 p. ; , These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems:! a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences. The main physical examples examined in the 6 volumes are presented in Chapter I: Classical Fluids and the Navier-Stokes System; Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equation, Neutronics, and Quantum Physics. Then a first examin! ation of the mathematical model. 24 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Measure theory and fine properties of functions par Evans, Lawrence C. Publication : [S.l.] CRC Press 1991 . 288 p. , This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Methods of nonlinear analysis applications to differential equations par Dràbek, Pavel Publication : Basel \| Boston \| Berlin Birkhäuser 2007 . 568 p. , In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Navier-Stokes equations and nonlinear functional analysis / par Temam, Roger. Publication : Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 1995 . xiv, 141 p. : 26 cm. Date : 1995 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Nonlinear analysis, differential equations, and control / Publication : Dordrecht ; \| Boston : Kluwer, 1999 . xix, 602 p. : , "Published in cooperation with NATO Scientific Affairs Division." \| "Proceedings of the NATO Advanced Study Institute and SĐeminaire de MathemĐatiques SupĐerieures on Nonlinear Analysis, Differential Equations, and Control, MontrĐeal, Canada, July 27-August 7, 1998"--T.p. verso. 25 cm. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Pas d'image disponible Nonlinear functional analysis and its applications / par Zeidler, Eberhard. Publication : New York : Springer, 1997 . v. <4 > : 25 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Nonlinear functional analysis and its applications : part 2 A : linear monotone operators / par Zeidler, E. Publication : [S.l.] : Springer, 1990 . 467 p. ; , This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century. 24 cm. Date : 1990 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Nonsmooth variational problems and their inequalities : comparison principles and applications / par Carl,, S. Publication : New York : Springer, 2007 . x, 395 p. ; 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Numerical approximation methods for elliptic boundary value problems : finite and boundary elements / par Steinbach, Olaf. Publication : [S.l.] : Springer, 2007 . 388 p. ; , The book contains chapter summaries and excercises at the end of each chapter. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		Operational calculus and related topics par Prudnikov, A. P. Publication : [S.l.] Chapman and Hall/CRC 2006 . 424 p. , Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in the field. Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heaviside’s algebraic operational calculus and Paul Dirac’s delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusiński’s theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions. Benefits… · Discusses theory and applications of integral transforms · Gives inversion, complex-inversion, and Dirac’s delta distribution formulas, among others · Offers a short survey of actual results of finite integral transforms, in particular convolution theorems Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students. 26 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		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), Réserver Ajouter au panier (Supprimer)
		Orthogonal polynomials of several variables / par Dunkl, Charles F. Publication : [S.l.] : Cambridge University Press, 2001 . 408 p. ; , This is the first modern book on orthogonal polynomials of several variables, which are valuable tools used in multivariate analysis, including approximations and numerical integration. The book presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball. It also focuses on those of Gaussian type, for which fairly explicit formulae exist. The authors' approach blends classical analysis and symmetry-group-theoretic methods. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)
		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), Réserver Ajouter au panier (Supprimer)
		Pas d'image disponible Partial differential equations par Sauvigny,, Friedrich. Publication : Berlin Springer 2006 . 2 volumes , Expanded version of the German original edition. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), Réserver Ajouter au panier (Supprimer)