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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Computing the Continuous Discretely - Integer-Point Enumeration in Polyhedra (Hardcover, 2nd ed. 2015)
Loot Price: R1,489
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Computing the Continuous Discretely - Integer-Point Enumeration in Polyhedra (Hardcover, 2nd ed. 2015)
Series: Undergraduate Texts in Mathematics
Expected to ship within 12 - 17 working days
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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 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 Robins have written
the perfect text for such a course." - CHOICE
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