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The book is a monograph in an important area of discrete mathematics and geometry. It is bound to become a standard reference.
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Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research. Including a wide variety of mathematical techniques (from harmonic analysis, combinatorics, algebra etc.) in action on non-trivial examples, the book is suitable for a "special topic" course for early graduates in mathematics and computer science. Besides professional mathematicians, it will be of interest to specialists in fields where a large collection of objects should be "uniformly" represented by a smaller sample (such as high-dimensional numerical integration in computational physics or financial mathematics, efficient divide-and-conquer algorithms in computer science, etc.).
From the reviews: "...The numerous illustrations are well placed and instructive. The clear and elegant exposition conveys a wealth of intuitive insights into the techniques utilized. Each section usually consists of text, historical remarks and references for the specialist, and exercises. Hints are provided for the more difficult exercises, with the exercise-hint format permitting inclusion of more results than otherwise would be possible in a book of this size..."
Allen D. Rogers, Mathematical Reviews Clippings (2001)
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Geometric Discrepancy : An Illustrated Guide
Verlag:
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ISBN 10: 3642039413
ISBN 13: 9783642039416
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GEOMETRIC DISCREPANCY (2934307974-7.09.2018
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Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics)
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Only up-to-date comprehensive guide to the subjectWhat is the most uniform way of distributing n points in the unit square? How big is the irregularity necessarily present in any such distribution? This book is an accessible and lively introducti. Bestandsnummer des Verkäufers 5044151
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Geometric Discrepancy
ISBN 10: 3642039413
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Taschenbuch. Zustand: Neu. Neuware -Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the 'most uniform' way of dis tributing n points in the unit square How big is the 'irregularity' necessarily present in any such distribution For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch. Bestandsnummer des Verkäufers 9783642039416
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Geometric Discrepancy
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -What is the 'most uniform' way of distributing n points in the unit square How big is the 'irregularity' necessarily present in any such distribution This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research. 304 pp. Englisch. Bestandsnummer des Verkäufers 9783642039416
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Geometric Discrepancy : An Illustrated Guide
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Discrepancy theory is also called the theory of irregularities of distribution. Here are some typical questions: What is the 'most uniform' way of dis tributing n points in the unit square How big is the 'irregularity' necessarily present in any such distribution For a precise formulation of these questions, we must quantify the irregularity of a given distribution, and discrepancy is a numerical parameter of a point set serving this purpose. Such questions were first tackled in the thirties, with a motivation com ing from number theory. A more or less satisfactory solution of the basic discrepancy problem in the plane was completed in the late sixties, and the analogous higher-dimensional problem is far from solved even today. In the meantime, discrepancy theory blossomed into a field of remarkable breadth and diversity. There are subfields closely connected to the original number theoretic roots of discrepancy theory, areas related to Ramsey theory and to hypergraphs, and also results supporting eminently practical methods and algorithms for numerical integration and similar tasks. The applications in clude financial calculations, computer graphics, and computational physics, just to name a few. This book is an introductory textbook on discrepancy theory. It should be accessible to early graduate students of mathematics or theoretical computer science. At the same time, about half of the book consists of material that up until now was only available in original research papers or in various surveys. Bestandsnummer des Verkäufers 9783642039416
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Geometric Discrepancy: An Illustrated Guide (Algorithms and Combinatorics)
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