Computing Continuous Discretely Integer Point by Beck Matthias (39 results)
Language: English
Published by Springer, New York, 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer-Verlag New York Inc., 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2007
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2010
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
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Language: English
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Language: English
Published by Springer 2010-11, 2010
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
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Condition: New. pp. 285.
Language: English
Published by Springer, 2010
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Language: English
Published by Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Condition: New. pp. 285.
Language: English
Published by Springer, 2010
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
- Softcover
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Condition: New. pp. 305 Softcover reprint of the original 2nd ed. 2015 edition NO-PA16APR2015-KAP.
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Paperback. Condition: Brand New. 2nd reprint edition. 285 pages. 9.25x6.10x0.73 inches. In Stock.
Language: English
Published by Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Language: English
Published by Springer, 2010
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The world is continuous, but the mind is discrete. David Mumford We seek to bridge some critical gaps between various elds of mathematics by studying the interplay between the continuous volume and the discrete v- ume of polytopes. Examples of poly…topes in three dimensions include crystals, boxes, tetrahedra, and any convex object whose faces are all at. It is amusing to see how many problems in combinatorics, number theory, and many other mathematical areas can be recast in the language of polytopes that exist in some Euclidean space. Conversely, the versatile structure of polytopes gives us number-theoretic and combinatorial information that ows naturally from their geometry. Fig. 0. 1. Continuous and discrete volume. The discrete volume of a body P can be described intuitively as the number of grid points that lie inside P, given a xed grid in Euclidean space. The continuous volume of P has the usual intuitive meaning of volume that we attach to everyday objects we see in the real world. VIII Preface Indeed, the di erence between the two realizations of volume can be thought of in physical terms as follows. On the one hand, the quant- level grid imposed by the molecular structure of reality gives us a discrete notion of space and hence discrete volume. On the other hand, the N- tonian notion of continuous space gives us the continuous volume.
Language: English
Published by Springer, 2010
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
- Softcover
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Taschenbuch. Condition: Neu. Computing the Continuous Discretely | Integer-point Enumeration in Polyhedra | Matthias Beck (u. a.) | Taschenbuch | xviii | Englisch | 2010 | Springer | EAN 9781441921192 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[…dot]com | Anbieter: preigu.
Language: English
Published by Springer, Springer, 2015
Series: Undergraduate Texts in Mathematics, Book 24 of 170. Book 24 of 170 - Undergraduate Texts in Mathematics
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 material, 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 Robinshave written the perfect text for such a course.'- CHOICE.
