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A first course in harmonic analysis par Deitmar, Anton. Publication : [S.l.] Springer 2010 . 192 p. , Affordable softcover second edition of bestselling title (over 1000 copies sold of previous edition) A primer in harmonic analysis on the undergraduate level Gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. Entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Almost all proofs are given in full and all central concepts are presented clearly. Provides an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Make the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. Introduces the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example. 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Algebraic Combinatorics : Lectures at a Summer School in Nordfjordeid, Norway, June 2003 / par Floystad, Gunnar. Publication : Berlin Heidelberg : Springer-Verlag., 2007 . 1 online resource. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An introduction to sequential dynamical systems par Mortveit,, Henning. Publication : Virginia Springer 2007 . 260 p. , This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Applied stochastic processes / par Lefebvre, Mario. Publication : [S.l.] : Springer, 2006 . 382 p. ; , Applied Stochastic Processes uses a distinctly applied framework to present the most important topics in the field of stochastic processes. Key features: -Presents carefully chosen topics such as Gaussian and Markovian processes, Markov chains, Poisson processes, Brownian motion, and queueing theory -Examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes -Serves graduate students in a variety of disciplines such as applied mathematics, operations research, engineering, finance, and business administration -Contains numerous examples and approximately 350 advanced problems, reinforcing both concepts and applications -Includes entertaining mini-biographies of mathematicians, giving an enriching historical context -Covers basic results in probability Two appendices with statistical tables and solutions to the even-numbered problems are included at the end. This textbook is for graduate students in applied mathematics, operations research, and engineering. Pure mathematics students interested in the applications of probability and stochastic processes and students in business administration will also find this book useful. 23 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Compact riemann surfaces : an introduction to contemporary mathematics / par Jost,, Jûrgen. Publication : [S.l.] : Springer, 2006 . 282 p. ; , Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmǂller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Complex geometry : an introduction / par Huybrechts, Daniel. Publication : Berlin ; | New York : Springer, 2005 . xii, 309 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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From vectors to tensors / par Ruiz-Tolosa,, Juan R. Publication : [S.l.] : Springer, 2005 . 550 p. ; , This textbook, deals with tensors that are treated as vectors, and has a practical orientation. In addition to dealing with the classical topics of tensor books, new tensor concepts are introduced, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure, etc. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. In fact, the computational algebra is formulated in matrix form to facilitate its implementation on computers. For the first time tensor contraction is formulated in terms of matrix operations. A computer package, written in Mathematica, is available through Internet that complements the book.   In summary, the book is not a standard book on tensors because of its orientation, the many novel contributions included in it, the careful notation and the stretching-condensing techniques used for most of the transformations used in the book. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introduction to stochastic integration / par Kuo,, Hui-Hsiung, Publication : New York, NY : Springer, 2006 . xiii, 278 p. ; 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introduction to stochastic integration par Kuo,, Hui-Hsiung, Publication : New York, NY Springer 2006 . xiii, 278 pages 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Postmodern analysis par Jost, Jürgen. Publication : Berlin ; New York Springer 2005 . 371 p , This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The book does not strive for abstraction for its own sake, but tries rather to impart a working knowledge of the key methods of contemporary analysis, in particular those that are also relevant for application in physics. It provides a streamlined and quick introduction to the fundamental concepts of Banach space and Lebesgue integration theory and the basic notions of the calculus of variations, including Sobolev space theory. The third edition contains new material on further important tool in analysis, namely cover theorems. Useful references for such results and further properties of various classes of weakly differential functions are added. And finally, misprints and minor inconsistencies have been corrected. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Riemannian geometry and geometric analysis / par Jost, Jurgen. Publication : [S.l.] : Springer, 2005 . 566 p. ; , This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. Besides several smaller additions, reorganizations, corrections, and a systematic bibliography, the main new features of the 4th edition are a systematic introduction to KƲhler geometry and the presentation of additional techniques from geometric analysis. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. [..] The book is made more interesting by the perspectives in various sections." Math. Reviews. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Stochastic differential equations : an introduction with applications / par k̲sendal,, Bernt. Publication : [S.l.] : Springer, 2003 . 374 p. ; , This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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A course on mathematical logic / par Srivastava, S. M. Publication : New York, NY : Springer, 2013 . 1 online resource. Date : 2013 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Non-life insurance mathematics : an introduction with the Poisson process / par Mikosch, Thomas Publication : Berlin ; | London : Springer, 2009 . xv, 432 pages : , Previous edition: 2003. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Juridiques, Economiques et de Gestion (1),

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Galois Theory / par Weintraub, Steven H. Publication : New York : Springer Science+Business, 2009 . 1 online resource (xi, 211 pages). , Includes index. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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A Course in Topological Combinatorics par Longueville, Mark de. Publication : . XII, 240 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4419-7910-0,

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Logic and Structure par Dalen, Dirk van. Publication : . X, 263 p. 27 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-4558-5,

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Polyhedral and Algebraic Methods in Computational Geometry par Joswig, Michael. Publication : . X, 250 p. 67 illus., 17 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-4817-3,

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Algebraic Geometry and Commutative Algebra par Bosch, Siegfried. Publication : . X, 504 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-4829-6,

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Dynamical Systems An Introduction / par Barreira, Luis. Publication : . IX, 209 p. 44 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-4835-7,

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