| 000 -LEADER |
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| fixed length control field |
04283cam a22003134a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
12041435 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20120703114009.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
000615s2002 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
00056268 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0387950648 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA93 |
| Item number |
.H533 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Edition number |
21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hilton, Peter, |
| Dates associated with a name |
1923-2010. |
| 245 10 - TITLE STATEMENT |
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| Title |
Mathematical vistas : |
| Remainder of title |
from a room with many windows / |
| Statement of responsibility, etc |
Peter Hilton, Derek Holton, Jean Pedersen. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
c2002. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, 335 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Machine generated contents note: 1 Paradoxes in Mathematics 1 -- 1.1 Introduction: Don't Believe Everything You See and Hear 1 -- 1.2 Are Things Equal to the Same Thing Equal to One -- Another? (Paradox 1) 4 -- 1.3 Is One Student Better Than Another? (Paradox 2)6 -- 1.4 Do Averages Measure Prowess? (Paradox 3)8 -- 1.5 May Procedures Be Justified Exclusively by Statistical -- Tests? (Paradox 4)11 -- 1.6 A Basic Misunderstanding -and a Salutary Paradox -- About Sailors and Monkeys (Paradox 5)14 -- References20 -- 2 Not the Last of Fermat 23 -- 2.1 Introduction: Fermat's Last Theorem (FLT)23 -- 2.2 Something Completely Different24 -- 2.3 Diophantus26 -- 2.4 Enter Pierre de Fermat-27 -- 2.5 Flashback to Pythagoras28 -- 2.6 Scribbles in Margins32 -- 2.7 n = 433 -- 2.8 Euler Enters the Fray36 -- 2.9 I Had to Solve It40 -- References46 -- 3 Fibonacci and Lucas Numbers: Their Connections and -- Divisibility Properties 49 -- 3.1 Introduction: A Number Trick and Its Explanation 49 -- 3.2 A First Set of Results on the Fibonacci and Lucas Indices 54 -- 3.3 On Odd Lucasian Numbers56 -- 3.4 A Theorem on Least Common Multiples62 -- 3.5 The Relation Between the Fibonacci and Lucas Indices .63 -- 3.6 On Polynomial Identities Relating Fibonacci and -- Lucas Numbers64 -- References69 -- 4 Paper-Folding, Polyhedra-Building, and Number Theory 71 -- 4.1 Introduction: Forging the Link Between Geometric -- Practice and Mathematical Theory71 -- 4.2 What Can Be Done Without Euclidean Tools73 -- 4.3 Constructing All Quasi-Regular Polygons93 -- 4.4 How to Build Some Polyhedra (Hands-On Activities)95 -- 4.5 The General Quasi-Order Theorem114 -- References124 -- 5 Are Four Colors Really Enough? 127 -- 5.1 Introduction: A Schoolboy Invention127 -- 5.2 The Four-Color Problem127 -- 5.3 Graphs130 -- 5.4 Touring with Euler136 -- 5.5 Why Graphs?138 -- 5.6 Another Concept142 -- 5.7 Planarity144 -- 5.8 The End148 -- 5.9 Coloring Edges149 -- 5.10 A Beginning?153 -- References157 -- 6 From Binomial to Trinomial Coefficients and Beyond 159 -- 6.1 Introduction and Warm-Up159 -- 6.2 Analogues of the Generalized Star of Da,id Theorems .177 -- 6.3 Extending the Pascal Tetrahedron and the -- Pascal m-simplex188 -- 6.4 Some Variants and Generalizations190 -- 6.5 The Geometry of the 3-Dimensional Analogue of the -- Pascal Hexagon193 -- References 198 -- 7 Catalan Numbers 199 -- 7.1 Introduction: Three Ideas About the Same Mathematics199 -- 7.2 A Fourth Interpretation208 -- 7.3 Catalan Numbers215 -- 7.4 Extending the Binomial Coefficients218 -- 7.5 Calculating Generalized Catalan Numbers220 -- 7.6 Counting p-Good Paths223 -- 7.7 A Fantasy- and the Awakening227 -- References 233 -- 8 Symmetry 235 -- 8.1 Introduction: A Really Big Idea235 -- 8.2 Symmetry in Geometry239 -- 8.3 Homologues 254 -- 8.4 The P61ya Enumeration Theorem257 -- 8.5 Even and Odd Permutations263 -- References269 -- 9 Parties 271 -- 9.1 Introduction: Cliques andAnticliques 271 -- 9.2 Ramsey and Erd6s 275 -- 9.3 Further Progress277 -- 9.4 N (r, r) 281 -- 9.5 Even More Ramsey283 -- 9.6 Birthdays and Coincidences285 -- 9.7 Come to the Dance287 -- 9.8 Philip Hall290 -- 9.9 Back to Graphs292 -- 9.10 Epilogue295 -- References297. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics |
| Form subdivision |
Popular works. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Holton, Derek Allan, |
| Dates associated with a name |
1941- |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Pedersen, Jean. |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of contents |
| Uniform Resource Identifier |
http://www.loc.gov/catdir/toc/fy022/00056268.html |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Publisher description |
| Uniform Resource Identifier |
http://www.loc.gov/catdir/enhancements/fy0812/00056268-d.html |
| 925 0# - |
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| -- |
acquire |
| -- |
2 shelf copies |
| -- |
policy default |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
