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Pfaffian systems, K-symplectic systems / par Awane, A. Publication : [S.l.] : Springer, 2000 . 260 p. ; , The geometrical view of mechanics is based on the study of certain exterior systems, the most classical of which are Pfaffian systems. In this book, we present the classification theorems (Frobenius, Darboux) and the local classification of Pfaffian systems of five variables, following Cartan. We also present a new class of exterior systems, called k-symplectic systems, generalizing the notion of symplectic form. These systems permit us to write in the language of exterior forms the equations proposed by Nambu for a model of statistical mechanics. Audience: This book is aimed at graduate students and at research workers in the field of mathematics, differential geometry, statistical mechanics, mathematics of physics and Lie algebras. 25 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Principles of functional analysis par Schechter, Martin. Publication : [S.l.] American Mathematical Society 2002 . 425 p. , Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added. 26 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Quantum mechanics of non-Hamiltonian and dissipative systems par Tarasov, Vasily E. Publication : Amsterdam | London Elsevier 2008 . xiii, 539 pages 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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The mathematics of arbitrage par Delbaen, Freddy. Publication : Berlin ; New York Springer 2006 . 387 p. , Proof of the "Fundamental Theorem of Asset Pricing" in its general form by Delbaen and Schachermayer was a milestone in the history of modern mathematical finance and now forms the cornerstone of this book. Puts into book format a series of major results due mostly to the authors of this book. Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background. Awaited in the quantitative finance community. 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Juridiques, Economiques et de Gestion (1),

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Theoretical numerical analysis : a functional analysis framework / par Atkinson, Kendall E. Publication : New York : Springer, 2001 . xvi, 450 p. : 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Variational methods in some shape optimization problems par Bucur,, Dorin. Publication : [S.l.] Edizioni della Normale 2002 . 217 p. , The study of shape optimization problems is a very wide field, both classical, as the isoperimetric problem and Newton problem of the best aerodynamical shape show, and modern, for all the recent results obtained in the last two, three decades. The fascinating feature is that the competing objects are shapes, i.e. domains of Rn, instead of functions, as usually occurs in problems of calculus of variations. This constraint often produces additional difficulties that lead to a lack of existence of a solution and the introduction of suitable relaxed formulations of the problem. However, in a few cases an optimal solution exists, due to the special form of the cost functional and to the geometrical restriction on the class of competing domains. This volume collects the lecture notes of two courses given in the academic year 2000/01 by the authors at the University of Pisa and at the Scuola Normale Superiore respectively. The courses were mainly addressed to Ph. D. students and required a background in the topics in functional analysis that are usually taught in undergraduate courses. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Strange functions in real analysis / par Kharazishvili, A. B. Publication : Boca Raton, FL : Chapman & Hall/CRC, 2006 . xii, 415 pages ; 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geophysical inverse theory and regularization problems / par Zhdanov, Mikhail Semenovich. Publication : . 1 online resource (xxiii, 609 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444510891,

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Nonmeasurable sets and functions / par Kharazishvili, A. B. Publication : . 1 online resource (xi, 337 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444516268,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=195,

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Functional equations in applied sciences / par Castillo, Enrique, Publication : . 1 online resource (xiii, 391 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517883,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=199,

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Applications of functional analysis and operator theory. par Hutson, V. Publication : . 1 online resource (xiv, 426 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517906,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=200,

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The theory of fractional powers of operators / par Martínez Carracedo, Celso. Publication : . 1 online resource (xii, 365 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444887979,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=187,

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Functional inequalities, Markov semigroups and spectral theory. par Wang, Feng-Yu. Publication : . 1 online resource. Disponibilité :  http://www.sciencedirect.com/science/book/9780080449425,

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Foundations of complex analysis in non locally convex spaces : function theory without convexity condition / par Bayoumi, Aboubakr. Publication : . 1 online resource (xvi, 278 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444500564,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=193,

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C₀-semigroups and applications / par Vrabie, I. I. Publication : . 1 online resource (xii, 373 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444512888,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=191,

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Sobolev spaces / par Adams, R. A. Publication : . 1 online resource (xiii, 305 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780120441433,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=140,

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The spectral analysis of time series / par Koopmans, Lambert H. Publication : . 1 online resource (xvi, 366 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124192515,

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