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Synopsis
This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course.
The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on "Discrete Geometry and Applications" and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders.
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- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2013
- ISBN 10 1461481171
- ISBN 13 9781461481171
- ReliureRelié
- Langueanglais
- Nombre de pages175
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Lectures on Sphere Arrangements ¿ the Discrete Geometric Side
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Springer New York, 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 188 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 23805456/12
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Lectures on Sphere Arrangements -- the Discrete Geometric Side
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Springer, 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
Ancien ou d'occasion
Couverture rigide
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Hardcover. Etat : Very Good. xii, 175 pp. "A short introduction to parts of modern discrete geometry." Fields Institute Monographs 32. Covers have some light shelf wear. A bright clean copy. N° de réf. du vendeur 017025
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Lectures on Sphere Arrangements - the Discrete Geometric Side
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Springer New York, 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains more than 40 open research problems proposed to help further research Ideal for graduate students as well as researchers in mathematics and computer science Acts as a short introduction to important and modern parts of discrete geo. N° de réf. du vendeur 4199576
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Lectures on Sphere Arrangements ¿ the Discrete Geometric Side
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Springer New York Aug 2013, 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course. The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on 'Discrete Geometry and Applications' and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders. 188 pp. Englisch. N° de réf. du vendeur 9781461481171
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Lectures on Sphere Arrangements - the Discrete Geometric Side (Fields Institute Monographs, 32)
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Lectures on Sphere Arrangements - The Discrete Geometric Side (Hardback or Cased Book)
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Hardback or Cased Book. Etat : New. Lectures on Sphere Arrangements - The Discrete Geometric Side 0.8. Book. N° de réf. du vendeur BBS-9781461481171
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Lectures on Sphere Arrangements - the Discrete Geometric Side
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Springer New York, Springer New York Aug 2013, 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware -This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course.The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on ¿Discrete Geometry and Applications¿ and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 188 pp. Englisch. N° de réf. du vendeur 9781461481171
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Lectures on Sphere Arrangements - the Discrete Geometric Side
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ISBN 10 : 1461481171
ISBN 13 : 9781461481171
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for a one-semester advanced undergraduate or graduate level course. The core part of this book is based on three lectures given by the author at the Fields Institute during the thematic program on 'Discrete Geometry and Applications' and contains four core topics. The first two topics surround active areas that have been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection to number theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres, is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The third major topic of this book can be found under the sections on ball-polyhedra that study the possibility of extending the theory of convex polytopes to the family of intersections of congruent balls. This section of the text is connected in many ways to the above-mentioned major topics and it is also connected to some other important research areas as the one on coverings by planks (with close ties to geometric analysis). This fourth core topic is discussed under covering balls by cylinders. N° de réf. du vendeur 9781461481171
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Lectures on Sphere Arrangements - the Discrete Geometric Side
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Springer-Verlag New York Inc., 2013
ISBN 10 : 1461481171
ISBN 13 : 9781461481171
Neuf
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Bezdek:Lectures on Sphere Arrangements (eng)
impression à la demandeVendeur : Brook Bookstore On Demand, Napoli, NA, Italie
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