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Bücher Englische Bücher Computing the Continuous Discretely
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Computing the Continuous Discretely
Matthias Beck, Sinai Robins (Gebundene Ausgabe, Englisch)
★★★★★
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Beschreibung
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 Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
14.11.2015
Sprache
Englisch
Originalsprache
Englisch
EAN
9781493929689
Herausgeber
Springer US
Serien- oder Bandtitel
Undergraduate Texts in Mathematics
Sonderedition
Nein
Autor
Matthias Beck, Sinai Robins
Seitenanzahl
285
Auflage
2
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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