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1. |
Record Nr. |
UNISALENTO991003627259707536 |
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Autore |
Candelpergher, Bernard |
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Titolo |
Ramanujan summation of divergent series [e-book] / by Bernard Candelpergher |
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Pubbl/distr/stampa |
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ISBN |
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9783319636306 |
9783319636290 |
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Descrizione fisica |
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1 online resource (xxiii, 195 p.) : illustrations |
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Collana |
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Lecture notes in mathematics, 0075-8434 ; 2185 |
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Classificazione |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Sequences (Mathematics) |
Number theory |
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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 contenuto |
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Introduction: The Summation of Series -- 1 Ramanujan Summation -- 3 Properties of the Ramanujan Summation -- 3 Dependence on a Parameter -- 4 Transformation Formulas -- 5 An Algebraic View on the Summation of Series -- 6 Appendix -- 7 Bibliography -- 8 Chapter VI of the Second Ramanujan's Notebook |
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Sommario/riassunto |
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The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory |
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2. |
Record Nr. |
UNINA9910788444303321 |
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Autore |
Lee Sabine |
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Titolo |
Children born of war in the twentieth century / Sabine Lee |
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Pubbl/distr/stampa |
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Manchester, [England] : , : Manchester University Press, , 2017 |
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©2017 |
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ISBN |
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1-5261-0461-X |
1-5261-0459-8 |
1-5261-2846-2 |
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Descrizione fisica |
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1 online resource : illustrations (black and white), maps (black and white) |
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Disciplina |
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Soggetti |
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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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Previously issued in print: 2017. |
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Nota di bibliografia |
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Includes bibliographical references (pages 249-285) and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Figures and tables -- Acknowledgements -- Abbreviations -- 1 Children born of war: an introduction -- 2 Children born of war: who are they? Experiences of children, mothers, families and post-conflict communities -- 3 Children born of war during and after the Second World War -- 4 Bui Doi: the children of the Vietnam War -- 5 Bosnia: a new dimension of genocidal rape and its children -- 6 African conflicts -- 7 Unintended consequences … -- Epilogue. Children born of war: lessons learnt? -- Bibliography -- Index |
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Sommario/riassunto |
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This book explores the life courses of children born of war in different twentieth-century conflicts, including the Second World War, the Vietnam War, the Bosnian War, the Rwandan Genocide and the LRA conflict. It investigates both governmental and military policies vis-a-vis children born of war and their mothers, as well as family and local community attitudes, building a complex picture of the multi-layered challenges faced by many children born of war within their post-conflict receptor communities. Based on extensive archival research, the book also uses oral history and participatory research methods which allow the author to add the voices of the children born of war to historical analysis. |
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