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Optima and equilibria an introduction to nonlinear analysis par Aubin, Jean-Pierre. Publication : [S.l.] Springer 2003 . 433 p. , Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Riemann surfaces / par Farkas, Hershel M. Publication : [S.l.] : Springer, 1991 . 388 p. ; , This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case. Basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the Abelian varities associated with these surfaces. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented. Alternate proofs for the most important results are included, showing the diversity of approaches to the subject. For this new edition, the material has been brought up-to-date, and erros have been corrected. The book should be of interest no only to pure mathematicians, but also to physicists interested in string theory and related topics. 25 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Complex analysis : in the spirit of Lipman Bers / par Rodríguez, Rubí E., Publication : New York : Springer, 2013 . xviii, 306 pages : , Previous edition had authors listed in reverse order. 24 cm. Date : 2013 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Calculus Without Derivatives par Penot, Jean-Paul. Publication : . XX, 524 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-4538-8,

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Geometric Analysis of the Bergman Kernel and Metric par Krantz, Steven G. Publication : . XIII, 292 p. 7 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-7924-6,

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