Bibliothèque de L'IMIST/CNRST

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An Introduction to geometrical physics / par Aldrovandi, R. Publication : [S.l.] : World Scientific Publishing Company, 1995 . 699 p. ; , This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and others subjects are underlined. It attempts to extricate the notion of space currently in the physical literature from the metric connotation. The book's goal is to present mathematical ideas associated with geometrical physics in a rather introductory language. Included are many examples from elementary physics and also, for those wishing to reach a higher level of understanding, a more advanced treatment of the mathematical topics. It is aimed as an elementary text, more so than most others on the market, and is intended for first year graduate students. 22 cm. Date : 1995 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An Introduction to metric spaces and fixed point theory / par Khamsi, Mohamed A. Publication : [S.l.] : Wiley-Interscience, 2001 . 320 p. ; , Presents up-to-date Banach space results. * Features an extensive bibliography for outside reading. * Provides detailed exercises that elucidate more introductory material. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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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),

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Lectures on morse homology / par Banyaga, Augustin. Publication : [S.l.] : Springer-Verlag New York Inc., 2004 . 326 p. ; , ReliØ. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Modern geometry - methods and applications : part I : the geometry of surfaces, transformation groups, and fields / par Dubrovin, B.A. Publication : [S.l.] : Springer, 1991 . 492 p. ; , This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Selected works of wen-tsun wu par Wu, Wen-Tsun. Publication : [S.l.] World Scientific Publishing Company 2008 . 476 p. , This important book presents all the major works of Professor Wen-Tsun Wu, a widely respected Chinese mathematician who has made great contributions in the fields of topology and computer mathematics throughout his research career. The book covers Wu s papers from 1948 to 2005 and provides a comprehensive overview of his major achievements in algebraic topology, computer mathematics, and history of ancient Chinese mathematics. In algebraic topology, he discovered Wu classes and Wu formulas for Stiefel Whitney classes of sphere bundles or differential manifolds, established an imbedding theory with an application to the layout problem of integrated circuits, and introduced the I*-functors which turned the rational homotopy theory created by D Sullivan into algorithmic form. In computer mathematics, he discovered Wu s method of mechanical theorem proving by means of computers, which has been applied to prove and even discover on the computers hundreds of non-trivial theorems in various kinds of elementary and differential geometries. He also discovered a new effective method of polynomial equations solving, which has been used to solve problems raised from the fields of robotics and mechanisms, CAGD, computer vision, theoretic physics, celestial mechanics, and chemical equilibrium computation. Contents: On the Product of Sphere Bundles and the Duality Theorem Modulo Two; On Universal Invariant Forms; The Out-In Complementary Principle; On Chern Numbers of Algebraic Varieties with Arbitrary Singularities; On the Foundation of Algebraic Differential Geometry; On a Finiteness Theorem About Optimization Problems; On Surface-Fitting Problem in CAGD; and other papers. 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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The theory of classes of groups / par Wenbin, Guo. Publication : [S.l.] : Springer, 2001 . 264 p. ; , This book gives a systematic introduction to the theory of classes of groups, including research subjects, major (recent) research achievements, and directions for future research. It clearly and concisely treats a wealth of topics, such as a brief introduction to the fundamental knowledge of group theory; the classical part of the theory of classes of groups covering mainly F-covering subgroups, F-projectors, F-injectors and F-normalisers; local formations; Schunck classes; Fitting classes; properties of local formations; formation constructions of finite groups and related applications; and the algebra of formations. Audience: This volume will be of interest to mathematicians involved in group theory and generalisations, algebras, order, lattices, ordered algebraic structures, general mathematical systems and the mathematics of physics and chemistry. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Topology ii / par Fuchs, D. B. Publication : [S.l.] : Springer, 2004 . 295 p. ; , Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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