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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Matthias Beck
€ 73.77
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Description for Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Hardback. IntegerPoint Enumeration in Polyhedra. Series: UNDERGRADUATE TEXTS IN MATHEMA. .
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag New York Inc.
Format
Hardback
Publication date
2015
Series
Undergraduate Texts in Mathematics
Condition
New
Weight
616g
Number of Pages
285
Place of Publication
New York, United States
ISBN
9781493929689
SKU
V9781493929689
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Matthias Beck
Matthias Beck is Professor of Mathematics at San Francisco State University. Sinai Robins is Associate Professor of Mathematics at Nanyang Technological University, Singapore.
Reviews for Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
This book is an outstanding book on counting integer points of polytopes ... . The book contains lots of exercises with very helpful hints. Another essential feature of the book is a vast collection of open problems on different aspects of integer point counting and related areas. ... The book is reader-friendly written, self-contained and contains numerous beautiful illustrations. The ... Read more