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Synopsis
This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device.
The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more.
With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume?
Reviews of the first edition:
“You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.”
— MAA Reviews
“The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate
rial, exercises, open problems and an extensive bibliography.”— Zentralblatt MATH
“This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.”
— Mathematical Reviews
“Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying
way. Beck and Robinshave written the perfect text for such a course.”— CHOICE
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Matthias Beck is Professor of Mathematics at San Francisco State University. Sinai Robins is Associate Professor of Mathematics at Nanyang Technological University, Singapore.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2016
- ISBN 10 1493938584
- ISBN 13 9781493938582
- ReliureBroché
- Langueanglais
- Nombre de pages308
- Coordonnées du fabricantnon disponible
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Computing the Continuous Discretely
Edité par
Springer New York Aug 2016, 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device.The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler-Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more.With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume Reviews of the first edition:'You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.'- MAA Reviews'The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the material, exercises, open problems and an extensive bibliography.'- Zentralblatt MATH'This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.'- Mathematical Reviews'Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.'- CHOICE 308 pp. Englisch. N° de réf. du vendeur 9781493938582
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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra (Undergraduate Texts in Mathematics)
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Computing the Continuous Discretely : Integer-point Enumeration in Polyhedra
Edité par
Springer, 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Ancien ou d'occasion
Couverture souple
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Computing the Continuous Discretely : Integer-point Enumeration in Polyhedra
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Computing the Continuous Discretely : Integer-point Enumeration in Polyhedra
Edité par
Springer, 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Computing the Continuous Discretely
Edité par
Springer New York, 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New edition extensively revised and updatedPlaces a strong emphasis on computational techniquesContains more than 200 exercises, including hints to selected exercisesNew edition extensively revised and updatedPlaces a stro. N° de réf. du vendeur 447955381
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Computing the Continuous Discretely : Integer-Point Enumeration in Polyhedra
Edité par
Springer US, Springer New York, 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device.The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler-Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more.With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume Reviews of the first edition:'You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.'- MAA Reviews'The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the material, exercises, open problems and an extensive bibliography.'- Zentralblatt MATH'This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.'- Mathematical Reviews'Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robinshave written the perfect text for such a course.'- CHOICE. N° de réf. du vendeur 9781493938582
Quantité disponible : 1 disponible(s)
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Computing the Continuous Discretely : Integer-point Enumeration in Polyhedra
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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra (Undergraduate Texts in Mathematics)
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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Edité par
Springer-Verlag New York Inc., 2016
ISBN 10 : 1493938584
ISBN 13 : 9781493938582
Neuf
Paperback / softback
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 696. N° de réf. du vendeur C9781493938582
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