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1. |
Record Nr. |
UNISA996466623303316 |
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Autore |
Lorentz Rudolph A. |
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Titolo |
Multivariate Birkhoff interpolation / / Rudolph A. Lorentz |
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Pubbl/distr/stampa |
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Berlin : , : Springer-Verlag, , [1992] |
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©1992 |
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ISBN |
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Edizione |
[1st ed. 1992.] |
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Descrizione fisica |
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1 online resource (X, 198 p.) |
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Collana |
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Lecture notes in mathematics (Springer-Verlag) ; ; 1516 |
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Classificazione |
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Disciplina |
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Soggetti |
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Interpolation |
Spline 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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Univariate interpolation -- Basic properties of Birkhoff interpolation -- Singular interpolation schemes -- Shifts and coalescences -- Decomposition theorems -- Reduction -- Examples -- Uniform Hermite interpolation of tensor-product type -- Uniform Hermite interpolation of type total degree -- Vandermonde determinants -- A theorem of Severi -- Kergin interpolation via Birkhoff interpolation. |
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Sommario/riassunto |
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The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to this subject which was introduced and developed by G.G. Lorentz and the author. One particularly interesting feature of this algorithmic approach is that it obviates the necessity of finding a formula for the Vandermonde determinant of a multivariate interpolation in order to determine its regularity (which formulas are practically unknown anyways) by determining the regularity through simple geometric manipulations in the Euclidean space. Although interpolation is a classical problem, it is surprising how little is known about its basic properties in the multivariate case. The book therefore starts by exploring its fundamental properties and its limitations. The main part of the book is devoted to a complete and detailed elaboration of the new technique. A |
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chapter with an extensive selection of finite elements follows as well as a chapter with formulas for Vandermonde determinants. Finally, the technique is applied to non-standard interpolations. The book is principally oriented to specialists in the field. However, since all the proofs are presented in full detail and since examples are profuse, a wider audience with a basic knowledge of analysis and linear algebra will draw profit from it. Indeed, the fundamental nature of multivariate nature of multivariate interpolation is reflected by the fact that readers coming from the disparate fields of algebraic geometry (singularities of surfaces), of finite elements and of CAGD will also all find useful information here. |
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2. |
Record Nr. |
UNINA9910784696803321 |
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Titolo |
Politics, postmodernity and critical legal studies : the legality of the contingent / / edited by Costas Douzinas, Peter Goodrich and Yifat Hachamovitch |
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Pubbl/distr/stampa |
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London ; ; New York : , : Routledge, , 1994 |
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ISBN |
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1-134-88357-9 |
1-134-88358-7 |
1-280-14487-4 |
0-203-97680-0 |
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Descrizione fisica |
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1 online resource (241 p.) |
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Altri autori (Persone) |
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DouzinasCostas <1951-> |
GoodrichPeter <1954-> |
HachamovitchYifat <1959-> |
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Disciplina |
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Soggetti |
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Critical legal studies |
Law - Philosophy |
Postmodernism |
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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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Cover; Politics, postmodernity and critical legal studies: The legality of |
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the contingent; Copyright; Contents; Chapter 1 Introduction: Politics, ethics and the legality of the contingent; Part I The contingency of judgement; Chapter 2 In emulation of the clouds: An essay on the obscure object of judgement; Chapter 3 As if: camera juridica; Chapter 4 Jani anglorum: Signs, symptoms, slips and interpretation in law; Part II The law of law; Chapter 5 The paternity of law; Chapter 6 Antigone's law: A genealogy of jurisprudence; Index |
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Sommario/riassunto |
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This timely and assured book provides a unique guide to critical legal studies which is one of the most exciting developments within contemporary jurisprudence. It is the first book to systematically apply a critical philosophy to the substance of common law. The book develops a coruscating and interdisciplinary overview of the politics and cultural significance of the institutions of the law. |
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