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The journal publishes seminars solicited by the Department of Mathematics, University of Bologna. It features recent developments in mathematical analysis. The topics include partial differential equations, nonlinear analysis and geometric analysis. BPMAS is devoted to contributions to mathematical analysis; both theoretical and applied papers, of original or expository type, are included.
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A peer-reviewed journal in Mathematical Analysis, The title of this new journal refers to the term ars inveniendi, coined by Leibnitz to identify the art of discovering new mathematical statements, methods and arguments. This reference aims at highlighting a blooming time for exciting mathematical discoveries in the field of Analysis, and at celebrating the creativity of researchers.
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This is a new text covering advanced calculus. It discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The exposition is generally slower pace than that of most other texts, and it provides many examples which are important to students in a first analysis course. The reader will find that the focus of attention is shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.
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