Computing the Continuous Discretely Integer-Point Enumeration in Pol
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
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Matthias Beck Sinai Robins
Computing the Continuous Discretely Integer-Point Enumeration in Polyhedra Second Edition Illustrated by David Austin
Undergraduate Texts in Mathematics
Undergraduate Texts in Mathematics
Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Kenneth Ribet University of California, Berkeley, CA, USA
Advisory Board: Colin Adams, Williams College David A. Cox, Amherst College Pamela Gorkin, Bucknell University Roger E. Howe, Yale University Michael Orrison, Harvey Mudd College Lisette G. de Pillis, Harvey Mudd College Jill Pipher, Brown University Fadil Santosa, University of Minnesota
Undergraduate Texts in Mathematics are generally aimed at third- and fourthyear undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interrelations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding.
More information about this series at http://www.springer.com/series/666
Matthias Beck • Sinai Robins
Computing the Continuous Discretely Integer-Point Enumeration in Polyhedra Second Edition
With illustrations by David Austin
123
Matthias Beck Department of Mathematics San Francisco State University San Francisco, CA, USA
Sinai Robins Department of Mathematics Brown University Providence, RI, USA
ISSN 0172-6056 ISSN 2197-5604 (electronic) Undergraduate Texts in Mathematics ISBN 978-1-4939-2968-9 ISBN 978-1-4939-2969-6 (eBook) DOI 10.1007/978-1-4939-2969-6 Library of Congress Control Number: 2015942640 Springer New York Heidelberg Dordrecht London © Matthias Beck and Sinai Robins 2007, 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer Science+Business Media LLC New York is part of Springer Science+Business Media (www. sp
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