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1. |
Record Nr. |
UNINA9910734837003321 |
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Autore |
Correa Rafael <1890-> |
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Titolo |
Fundamentals of Convex Analysis and Optimization : A Supremum Function Approach / / by Rafael Correa, Abderrahim Hantoute, Marco A. López |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (XIII, 444 p. 1 illus.) |
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Collana |
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Springer Series in Operations Research and Financial Engineering, , 2197-1773 |
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Disciplina |
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Soggetti |
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Operations research |
Management science |
Mathematical optimization |
Functional analysis |
Operations Research, Management Science |
Optimization |
Functional Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1. Introduction -- 2. Preliminaries -- 3. Fenchel-Moreau-Rockafellar theory -- 4. Fundamental topics in convex analysis -- 5. Supremum of convex functions -- 6. The supremum in specific contexts -- 7. Other subdifferential calculus rules -- 8. Miscellaneous -- 9. Exercises - Solutions -- Index -- Glossary of Notations -- Bibliography. |
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Sommario/riassunto |
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This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex |
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integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary view to the traditional one in which the discipline is presented to students and researchers. This textbook can be used for courses on optimization, convex and variational analysis, addressed to graduate and post-graduate students of mathematics, and also students of economics and engineering. It is also oriented to provide specific background for courses on optimal control, data science, operations research, economics (game theory), etc. The book represents a challenging and motivating development for those experts in functional analysis, convex geometry, and any kind of researchers who may be interested in applications of their work. |
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2. |
Record Nr. |
UNINA9910969810503321 |
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Titolo |
J.S. Bach and the oratorio tradition / / edited by Daniel R. Melamed |
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Pubbl/distr/stampa |
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Urbana, [IL], : University of Illinois Press, 2011 |
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ISBN |
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0-252-04817-2 |
1-283-01763-6 |
9786613017635 |
0-252-09021-7 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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Collana |
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Bach perspectives ; ; v. 8 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Oratorios - Analysis, appreciation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Under the spell of opera? : Bach's oratorio trilogy / Christoph Wolff -- Johann Sebastian Bach and Barthold Heinrich Brockes / Daniel R. Melamed -- Drama and discourse : the form and function of chorale tropes in Bach's oratorios / Markus Rathey -- Oratorio on five |
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afternoons : from the Lübeck Abendmusiken to Bach's Christmas oratorio / Kerala J. Snyder -- The triumph of "instrumental melody" : aspects of musical poetics in Bach's St. John passion / Laurence Dreyfus -- Bach's Ascension oratorio : God's kingdoms and their representation / by Eric Chafe. |
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Sommario/riassunto |
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As the official publication of the American Bach Society, Bach Perspectives has pioneered new areas of research in the life, times, and music of Bach since its first appearance in 1995. Volume 8 of Bach Perspectives emphasizes the place of Bach's oratorios in their repertorial context. These essays consider Bach's oratorios from a variety of perspectives: in relation to models, antecedents, and contemporary trends; from the point of view of musical and textual types; and from analytical vantage points including links with instrumental music and theology. Christoph Wolff suggests the possibility that Bach's three festive works for Christmas, Easter, and Ascension Day form a coherent group linked by liturgy, chronology, and genre. Daniel R. Melamed considers the many ways in which Bach's passion music was influenced by the famous poetic passion of Barthold Heinrich Brockes. Markus Rathey examines the construction and role of oratorio movements that combine chorales and poetic texts (chorale tropes). Kerala Snyder shows the connections between Bach's Christmas Oratorio and one of its models, Buxtehude's Abendmusiken spread over many evenings. Laurence Dreyfus argues that Bach thought instrumentally in the composition of his passions at the expense of certain aspects of the text. And Eric Chafe demonstrates the contemporary theological background of Bach's Ascension Oratorio and its musical realization |
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