Matthias Beck
Computing the Continuous Discretely
Integer-Point Enumeration in Polyhedra
Ebook (PDF Format)
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, Dedeki…
Mehr
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 ReviewsThe 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 MATHThis 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 ReviewsMany 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
CHF 51.00
Preise inkl. MwSt. und Versandkosten (Portofrei ab CHF 40.00)
Versandkostenfrei
Produktdetails
Weitere Autoren: Robins, Sinai
- ISBN: 978-1-4939-2969-6
- EAN: 9781493929696
- Produktnummer: 33382370
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2015
- Seitenangabe: 285 S.
- Plattform: PDF
- Masse: 2'810 KB
- Auflage: 2nd ed. 2015
- Abbildungen: Bibliographie
Über den Autor
Matthias Beck is Professor of Mathematics at San Francisco State University. Sinai Robins is Associate Professor of Mathematics at Nanyang Technological University, Singapore.
57 weitere Werke von Matthias Beck:
Integer-Point Enumeration in Polyhedra
Ebook (PDF Format)
CHF 100.00
Integer-Point Enumeration in Polyhedra
Ebook (PDF Format)
CHF 53.50
Integer-Point Enumeration in Polyhedra
Ebook (PDF Format)
CHF 103.00
Integer-Point Enumeration in Polyhedra
Ebook (EPUB Format)
CHF 13.00
Integer-Point Enumeration in Polyhedra
Ebook (PDF Format)
CHF 47.63
Integer-Point Enumeration in Polyhedra
Ebook (EPUB Format)
CHF 5.00
Bewertungen
0 von 0 Bewertungen
Anmelden
Keine Bewertungen gefunden. Seien Sie der Erste und teilen Sie Ihre Erkenntnisse mit anderen.