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Mathematics: problem solving through recreational mathematics

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Bibliographische Detailangaben
Hauptverfasser:	Averbach, Bonnie (VerfasserIn), Chein, Orin (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	San Francisco Freeman 1980
Schriftenreihe:	A series of books in the mathematical sciences
Schlagworte:	Jeux mathématiques Mathématiques Probleemoplossing Recreatieve wiskunde Résolution de problème Mathematik Mathematical recreations Mathematics Problem solving Unterhaltungsmathematik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVI, 400 S. Ill., graph. Darst.
ISBN:	0716711249

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Preface ix To the Reader xiii Acknowledgments xv 1 Following the Clues 1 Sample Problems 2 Which Chart or Diagram to Choose 10 Presenting a Solution 11 Some Steps in Problem Solving 11 Tree Diagrams 16 The Multiplication Principle 19 Simplification 22 The Chapter in Retrospect 25 Exercises 26 2 Solve It With Logic 37 Sample Problems 38 Statements 39 Variables and Connectives 41 Negation 41 And —Conjunction 42 Or Disjunction 43 Conditional and Biconditional Statements 44 Drawing Conclusions 47 Compound Statements 49 Logical Implication and Equivalence 53 Arguments and Validity 55 The Chapter in Retrospect 6O Exercises 61 3 From Words to Equations: Algebraic Recreations 7O Sample Problems 71 Introducing Variables 72 The Chapter in Retrospect 84 Exercises 84 4 Solve It With Integers: Some Topics From Number Theory 1OO Sample Problems 1O1 Diophantine Equations 1O3 Divisibility 1O4 Prime Numbers 1O6 ft The Infinitude of Primes 1O6 ft The Sieve of Eratosthenes 1O7 More About Primes 1O8 Linear Diophantine Equations 115 Division With Remainders 119 Congruence 12O Casting Out Nines 125 Solving Linear Congruences 127 Solving Linear Diophantine Equations 131 The Chapter in Retrospect 137 Exercises 138 5 More About Numbers, Bases and Cryptarithmetic 145 Sample Problems 146 Positional Notation 147 Changing Bases 148 Addition and Multiplication in Other Bases 153 Cryptarithmetic 156 The Chapter in Retrospect 162 Exercises 163 6 Solve It With Networks, An Introduction to Graph Theory 173 Sample Problems 174 Graphs 175 Eulerian Paths and Circuits 178 Odd and Even Vertices 18O ¦fr More Than Two Odd Vertices 187 ¦fr Directed Graphs 19O Hamiltonian Circuits 192 The Knight s Tour 194 Other Applications 196 •fr Coloring Graphs and Maps 198 The Chapter in Retrospect 2O1 Exercises 2O2 7 Games of Strategy for Two Players 213 Sample Problems 214 Chance Free Decisionmaking 215 Games ot Perfect Information 216 Finiteness 216 The E xistence of Winning Strategies 217 Position—State of the Game 224 The State Diagram of a Game 228 How Do We Find a Winning Strategy? 23O Finding a Winning Strategy by Working Backward 23O Finding Winning Strategies by Simplifying a Game 232 Finding Winning Strategies With a Frontal Assault 233 How Many Possibilities Need Be Considered? 234 Symmetry as a Limiting Factor 234 DejaVu We ve Seen It Before 241 The Game of Nim 246 Pairing Strategies 25O Variations of a Game 251 The Chapter in Retrospect 252 Exercises 253 8 Solitaire Games and Puzzles 273 Sample Problems 274 The Tower of Brahma 276 Dissection Problems 279 Polyominoes 281 Soma 284 Peg Solitaire 285 The Fifteen Puzzle 288 Even and Odd Permutations 291 ¦fr Coloring and thel5 Puzzle A Second Approach 298 Colored Cubes 299 •ir Colored Cubes—A Second Approach 3O3 The Chapter in Retrospect 3O4 Exercises 3O5 9 Potpourri 313 Decimation 313 Coin Weighing 315 Shunting 316 Syllogisms 317 Grab Bag 318 The Book in Retrospect 32O Appendix A—Some Basic Aigebraic Techniques 321 Appendix B—Mathematical Induction 332 Bibliography 336 Hints and Solutions 34O Answers to Selected Problems 381 Index 397
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id	DE-604.BV005610410
illustrated	Illustrated
indexdate	2024-08-01T10:33:01Z
institution	BVB
isbn	0716711249
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-003513256
oclc_num	6086672
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physical	XVI, 400 S. Ill., graph. Darst.
publishDate	1980
publishDateSearch	1980
publishDateSort	1980
publisher	Freeman
record_format	marc
series2	A series of books in the mathematical sciences
spellingShingle	Averbach, Bonnie Chein, Orin Mathematics problem solving through recreational mathematics Jeux mathématiques Mathématiques Probleemoplossing gtt Recreatieve wiskunde gtt Résolution de problème Mathematik Mathematical recreations Mathematics Problem solving Unterhaltungsmathematik (DE-588)4124357-2 gnd
subject_GND	(DE-588)4124357-2
title	Mathematics problem solving through recreational mathematics
title_auth	Mathematics problem solving through recreational mathematics
title_exact_search	Mathematics problem solving through recreational mathematics
title_full	Mathematics problem solving through recreational mathematics Bonnie Averbach ; Orin Chein*
title_fullStr	Mathematics problem solving through recreational mathematics Bonnie Averbach ; Orin Chein*
title_full_unstemmed	Mathematics problem solving through recreational mathematics Bonnie Averbach ; Orin Chein*
title_short	Mathematics
title_sort	mathematics problem solving through recreational mathematics
title_sub	problem solving through recreational mathematics
topic	Jeux mathématiques Mathématiques Probleemoplossing gtt Recreatieve wiskunde gtt Résolution de problème Mathematik Mathematical recreations Mathematics Problem solving Unterhaltungsmathematik (DE-588)4124357-2 gnd
topic_facet	Jeux mathématiques Mathématiques Probleemoplossing Recreatieve wiskunde Résolution de problème Mathematik Mathematical recreations Mathematics Problem solving Unterhaltungsmathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003513256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT averbachbonnie mathematicsproblemsolvingthroughrecreationalmathematics AT cheinorin mathematicsproblemsolvingthroughrecreationalmathematics

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Inhaltsverzeichnis

THWS Schweinfurt Magazin

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Signatur:	2801 1991:8926
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