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Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra

Matthias Beck and Sinai Robins
Publisher: 
Springer
Publication Date: 
2015
Number of Pages: 
285
Format: 
Hardcover
Edition: 
2
Series: 
Undergraduate Texts in Mathematics
Price: 
59.99
ISBN: 
9781493929689
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

[Reviewed by
Fernando Q. Gouvêa
, on
12/10/2015
]

See our review of the first edition. The authors say in the preface

Since the humbling and positive reception of the first edition of this book, published in 2007, the field of integer-point enumeration in polyhedra has gained considerable momentum… In this second edition, and with the encouragement from many wonderful readers, we have added two new chapters: Chapter 9 introduces zonotopes, an extremely useful class of polytopes, and Chapter 10 explores some deep yet elegant relationships that are satisfied by the \(h\)-polynomials and \(h^*\)-polynomials. We have also added many new exercises, new and updated open problems, and graphics.

See the table of contents in the publisher's webpage.

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