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1. |
Record Nr. |
UNISALENTO991003409299707536 |
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Autore |
Loday-Richaud, Michèle |
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Titolo |
Divergent Series, summability and resurgence II [e-book] : Simple and multiple summability / by Michèle Loday-Richaud |
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ISBN |
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Descrizione fisica |
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Collana |
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Lecture Notes in Mathematics, 0075-8434 ; 2154 |
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Classificazione |
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Disciplina |
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Soggetti |
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Difference equations |
Functional equations |
Dynamics |
Ergodic theory |
Differential equations |
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Lingua di pubblicazione |
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Formato |
Software |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Avant-propos ; Preface to the three volumes ; Introduction to this volume ; 1 Asymptotic Expansions in the Complex Domain ; 2 Sheaves and Čech cohomology ; 3 Linear Ordinary Differential Equations ; 4 Irregularity and Gevrey Index Theorems ; 5 Four Equivalent Approaches to k-Summability ; 6 Tangent-to-Identity Diffeomorphisms ; 7 Six Equivalent Approaches to Multisummability ; Exercises ; Solutions to Exercises ; Index ; Glossary of Notations ; References |
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Sommario/riassunto |
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Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya’s proof of the meromorphic classification theorem that characterizes the |
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Stokes phenomenon for linear differential equations. This volume is the second of a series of three entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes it can be read independently |
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2. |
Record Nr. |
UNINA9910784434803321 |
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Titolo |
Evolution, rationality, and cognition [[electronic resource] ] : a cognitive science for the twenty-first century / / edited by Antonio Zilhao |
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Pubbl/distr/stampa |
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London ; ; New York, : Routledge, 2005 |
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ISBN |
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1-134-23062-1 |
1-280-29034-X |
9786610290345 |
0-203-01291-7 |
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Descrizione fisica |
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1 online resource (199 p.) |
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Collana |
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Routledge studies in the philosophy of science ; ; v. 1 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Evolution - Philosophy |
Cognition - Philosophy |
Rationalism |
Cognitive science - Philosophy |
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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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Description based upon print version of record. |
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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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Part I: Evolution -- Intelligent design is untestable : what about natural selection? / Elliott Sober -- Social learning and the Baldwin effect / David Papineau -- Signals, evolution and the explanatory power of transient information / Brian Skyrms -- Part II: Rationality -- Untangling the evolution of mental representation / Peter Godfrey-Smith -- Innateness and brain-wiring optimization / Christopher Cherniak -- Evolution and the origins of the rational / Inman Harvey -- Part III: Cognition -- How to get around by mind and body : spatial thought, spatial action / Barbara Tversky -- Simulation and the |
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evolution of mindreading / Chandra Sripada and Alvin Goldman -- Enhancing and augmenting human reasoning / Tim van Gelder. |
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Sommario/riassunto |
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Evolutionary thinking has expanded in the last decades, spreading from its traditional stronghold - the explanation of speciation and adaptation in biology - to new domains. Fascinating pieces of work, the essays in this collection attest to the illuminating power of evolutionary thinking when applied to the understanding of the human mind.The contributors to Cognition, Evolution and Rationality use an evolutionary standpoint to approach the nature of the human mind, including both cognitive and behavioural functions. Cognitive science is by its nature an interdisciplinary s |
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