Computing the Continuous Discretely
- Integer-Point Enumeration in Polyhedra
- Indbinding:
- Paperback
- Sideantal:
- 285
- Udgivet:
- 23. august 2016
- Udgave:
- 22015
- Størrelse:
- 155x235x0 mm.
- Vægt:
- 4686 g.
- 8-11 hverdage.
- 16. januar 2025
På lager
Forlænget returret til d. 31. januar 2025
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- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
Beskrivelse af Computing the Continuous Discretely
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 EhrhartΓÇÖs theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, EulerΓÇôMaclaurin 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:
ΓÇ£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.ΓÇ¥
ΓÇö MAA Reviews
ΓÇ£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.ΓÇ¥
ΓÇö Zentralblatt MATH
ΓÇ£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.ΓÇ¥
ΓÇö Mathematical Reviews
ΓÇ£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.ΓÇ¥
ΓÇö CHOICE
The topics include a friendly invitation to EhrhartΓÇÖs theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, EulerΓÇôMaclaurin 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:
ΓÇ£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.ΓÇ¥
ΓÇö MAA Reviews
ΓÇ£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.ΓÇ¥
ΓÇö Zentralblatt MATH
ΓÇ£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.ΓÇ¥
ΓÇö Mathematical Reviews
ΓÇ£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.ΓÇ¥
ΓÇö CHOICE
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