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1 |
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|a Michael, T. S.,
|d 1960-
|1 https://id.oclc.org/worldcat/entity/E39PCjCKvy9HvyrrkpcjfFKVBX
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| 245 |
1 |
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|a How to guard an art gallery and other discrete mathematical adventures /
|c T.S. Michael.
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| 260 |
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|a Baltimore :
|b Johns Hopkins University Press,
|c 2009.
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| 300 |
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|a 1 online resource (xi, 257 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a data file
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| 504 |
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|a Includes bibliographical references and index.
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|a Print version record.
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|a Contents -- Preface -- 1 How to Count Pizza Pieces -- 1.1 The Pizza-Cutter�s Problem -- 1.2 A Recurring Theme -- 1.3 Make a Difference -- 1.4 How Many Toppings? -- 1.5 Proof without Words -- 1.6 Count �em and Sweep -- 1.7 Euler�s Formula for Plane Graphs -- 1.8 You Can Look It Up -- 1.9 Pizza Envy -- 1.10 Notes and References -- 1.11 Problems -- 2 Count on Pick�s Formula -- 2.1 The Orchard and the Dollar -- 2.2 The Area of the Orchard -- 2.3 Twenty-nine Ways to Change a Dollar -- 2.4 Lattice Polygons and Pick�s Formula -- 2.5 Making Change
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|a 2.6 Pick�s Formula: First Proof2.7 Pick�s Formula: Second Proof -- 2.8 Batting Averages and Lattice Points -- 2.9 Three Dimensions and N-largements -- 2.10 Notes and References -- 2.11 Problems -- 3 How to Guard an Art Gallery -- 3.1 The Sunflower Art Gallery -- 3.2 Art Gallery Problems -- 3.3 The Art Gallery Theorem -- 3.4 Colorful Consequences -- 3.5 Triangular and Chromatic Assumptions -- 3.6 Modern Art Galleries -- 3.7 Art Gallery Sketches -- 3.8 Right-Angled Art Galleries -- 3.9 Guarding the Guards -- 3.10 Three Dimensions and the Octoplex
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|a 3.11 Notes and References3.12 Problems -- 4 Pixels, Lines, and Leap Years -- 4.1 Pixels and Lines -- 4.2 Lines and Distances -- 4.3 Arithmetic Arrays -- 4.4 Bresenham�s Algorithm -- 4.5 A Touch of Gray: Antialiasing -- 4.6 Leap Years and Line Drawing -- 4.7 Diophantine Approximations -- 4.8 Notes and References -- 4.9 Problems -- 5 Measure Water with a Vengeance -- 5.1 Simon Says: Measure Water -- 5.2 A Recipe for Bruce Willis -- 5.3 Skew Billiard Tables -- 5.4 Big Problems -- 5.5 How to Measure Water: An Algorithm
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| 505 |
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|a 5.6 Arithmetic Arrays: Climb the Staircase5.7 Other Problems to Pour Over -- 5.8 Number Theory and Fermat�s Congruence -- 5.9 Notes and References -- 5.10 Problems -- 6 From Stamps to Sylver Coins -- 6.1 Sylvester�s Stamps -- 6.2 Addition Tables and Symmetry -- 6.3 Arithmetic Arrays and Sylvester�s Formula -- 6.4 Beyond Sylvester: The Stamp Theorem -- 6.5 Chinese Remainders -- 6.6 The Tabular Sieve -- 6.7 McNuggets and Coin Exchanges -- 6.8 Sylver Coinage -- 6.9 Notes and References -- 6.10 Problems -- 7 Primes and Squares: Quadratic Residues
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|a 7.1 Primes and Squares7.2 Quadratic Residues Are Squares -- 7.3 Errors: Detection amd Correctipn -- 7.4 Multiplication Tables, Legendre, and Euler -- 7.5 Some Square Roots -- 7.6 Marcia and Greg Flip a Coin -- 7.7 Round Up at the Gauss Corral -- 7.8 It�s the Law: Quadratic Reciprocity -- 7.9 Notes and References -- 7.10 Problems -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Combinatorial analysis.
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| 650 |
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|a Algorithms.
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| 650 |
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|a Computer science
|x Mathematics.
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| 650 |
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|a Computer algorithms.
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| 650 |
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|a Analyse combinatoire.
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| 650 |
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|a Algorithmes.
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|a Informatique
|x Mathématiques.
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| 650 |
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|a algorithms.
|2 aat
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| 650 |
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|a MATHEMATICS
|x Combinatorics.
|2 bisacsh
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| 650 |
|
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|a Algorithms
|2 fast
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| 650 |
|
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|a Combinatorial analysis
|2 fast
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| 650 |
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|a Computer science
|x Mathematics
|2 fast
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| 655 |
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|a Popular works
|2 fast
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| 758 |
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|i has work:
|a How to guard an art gallery and other discrete mathematical adventures (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH3qwbJTgdTbpVdm9YbHP3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Michael, T.S., 1960-
|t How to guard an art gallery and other discrete mathematical adventures.
|d Baltimore : Johns Hopkins University Press, 2009
|z 9780801892998
|w (DLC) 2009000435
|w (OCoLC)298325758
|
| 830 |
|
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|a Book collections on Project MUSE.
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3318398
|z Texto completo
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|a Askews and Holts Library Services
|b ASKH
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