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Mathematical vistas : (Record no. 9011)

000 -LEADER
fixed length control field 04512cam a22003374a 4500
001 - CONTROL NUMBER
control field 12041435
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170608114412.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 000615s2002 nyua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 00056268
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0387950648
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788184895230
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency DLC
Modifying agency DLC
042 ## - AUTHENTICATION CODE
Authentication code pcc
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA93
Item number .H533 2002
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510
Edition number 21
Item number HIL-M
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hilton, Peter
245 10 - TITLE STATEMENT
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 ©2002.
300 ## - PHYSICAL DESCRIPTION
Extent xiv, 335 p. :
Other physical details ill. ;
Dimensions 24 cm.
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Undergraduate texts in mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 8# - FORMATTED CONTENTS NOTE
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
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pedersen, Jean
856 41 - ELECTRONIC LOCATION AND ACCESS
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
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 7
b cbc
c orignew
d 1
e ocip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Cost, normal purchase price Full call number Barcode Date last seen Cost, replacement price Price effective from Koha item type Bill No. Bill Date PO No. PO Date Vendor/Supplier
          Mathematics IIITD IIITD General Stacks 2013-09-25 500 510 HIL-M 003320 2013-09-25 625 2013-09-25 Books IN20475 2013-09-13 IIITD/LIC/BS/2012/05/36 2013-08-23 Overseas Press India (P) Limited

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