Computing the Continuous Discretely Integer-Point Enumeration in Polyhedra

Lingua: inglese

Editore: Springer, 2015

1493929682 / 9781493929689

Serie: Libro 24 di 170 - Undergraduate Texts in Mathematics

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Da: Home-set, Mannheim, GermaniaHome-set

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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 Sprache: Englisch Gewicht in Gramm: 577.…

Titolo
Computing the Continuous Discretely Integer-Point Enumeration in Polyhedra
Autore
Matthias Beck, Sinai Robins
Editore
Springer
Anno di pubblicazione
2015
Condizione
Neu
Rilegatura
Gebundene Ausgabe
Lingua
inglese
ISBN 10
1493929682
ISBN 13
9781493929689
Edizione
prima edizione
Peso dell'articolo
577 grammi
Serie
Libro 24 di 170: Undergraduate Texts in Mathematics

Home-set

Mannheim, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 13 aprile 2026

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 10 a 12 giorni lavorativiDa 8 a 10 giorni lavorativi
Primo articoloEUR 49,90EUR 75,00
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