The Tower of Hanoi: myths and maths:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Springer
2013
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| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783034802369 9783034802376 |
| DOI: | 10.1007/978-3-0348-0237-6 |
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Datensatz im Suchindex
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| adam_text | THE TOWER OF HANOI – MYTHS AND MATHS
/ HINZ, ANDREAS M.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD BY IAN STEWART
PREFACE
0 THE BEGINNING OF THE WORLD
1 THE CHINESE RINGS
2 THE CLASSICAL TOWER OF HANOI
3 LUCAS’S SECOND PROBLEM
4 SIERPINSKI GRAPHS
5 THE TOWER OF HANOI WITH MORE PEGS
6 VARIATIONS OF THE PUZZLE
7 THE TOWER OF LONDON
8 TOWER OF HANOI VARIANTS WITH ORIENTED DISC MOVES
9 THE END OF THE WORLD
A HINTS AND SOLUTIONS TO EXERCISES
GLOSSARY
BIBLIOGRAPHY
NAME INDEX
SUBJECT INDEX
SYMBOL INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE TOWER OF HANOI – MYTHS AND MATHS
/ HINZ, ANDREAS M.
: 2013
ABSTRACT / INHALTSTEXT
THIS IS THE FIRST COMPREHENSIVE MONOGRAPH ON THE MATHEMATICAL THEORY OF
THE SOLITAIRE GAME “THE TOWER OF HANOI” WHICH WAS INVENTED IN THE
19TH CENTURY BY THE FRENCH NUMBER THEORIST EDOUARD LUCAS. THE BOOK
COMPRISES A SURVEY OF THE HISTORICAL DEVELOPMENT FROM THE GAME’S
PREDECESSORS UP TO RECENT RESEARCH IN MATHEMATICS AND APPLICATIONS IN
COMPUTER SCIENCE AND PSYCHOLOGY. APART FROM LONG-STANDING MYTHS IT
CONTAINS A THOROUGH, LARGELY SELF-CONTAINED PRESENTATION OF THE
ESSENTIAL MATHEMATICAL FACTS WITH COMPLETE PROOFS, INCLUDING ALSO
UNPUBLISHED MATERIAL. THE MAIN OBJECTS OF RESEARCH TODAY ARE THE
SO-CALLED HANOI GRAPHS AND THE RELATED SIERPINSKI GRAPHS. ACKNOWLEDGING
THE GREAT POPULARITY OF THE TOPIC IN COMPUTER SCIENCE, ALGORITHMS AND
THEIR CORRECTNESS PROOFS FORM AN ESSENTIAL PART OF THE BOOK. IN VIEW OF
THE MOST IMPORTANT PRACTICAL APPLICATIONS OF THE TOWER OF HANOI AND ITS
VARIANTS, NAMELY IN PHYSICS, NETWORK THEORY, AND COGNITIVE
(NEURO)PSYCHOLOGY, OTHER RELATED STRUCTURES AND PUZZLES LIKE, E.G., THE
“TOWER OF LONDON”, ARE ADDRESSED. NUMEROUS CAPTIVATING INTEGER
SEQUENCES ARISE ALONG THE WAY, BUT ALSO MANY OPEN QUESTIONS IMPOSE
THEMSELVES. CENTRAL AMONG THESE IS THE FAMED FRAME-STEWART CONJECTURE.
DESPITE MANY ATTEMPTS TO DECIDE IT AND LARGE-SCALE NUMERICAL EXPERIMENTS
SUPPORTING ITS TRUTH, IT REMAINS UNSETTLED AFTER MORE THAN 70 YEARS AND
THUS DEMONSTRATES THE TIMELINESS OF THE TOPIC. ENRICHED WITH ELABORATE
ILLUSTRATIONS, CONNECTIONS TO OTHER PUZZLES AND CHALLENGES FOR THE
READER IN THE FORM OF (SOLVED) EXERCISES AS WELL AS PROBLEMS FOR FURTHER
EXPLORATION, THIS BOOK IS ENJOYABLE READING FOR STUDENTS, EDUCATORS,
GAME ENTHUSIASTS AND RESEARCHERS ALIKE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0237-6 |
| format | Electronic eBook |
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| title | The Tower of Hanoi: myths and maths |
| title_auth | The Tower of Hanoi: myths and maths |
| title_exact_search | The Tower of Hanoi: myths and maths |
| title_full | The Tower of Hanoi: myths and maths Andreas M. Hinz ..., ed. |
| title_fullStr | The Tower of Hanoi: myths and maths Andreas M. Hinz ..., ed. |
| title_full_unstemmed | The Tower of Hanoi: myths and maths Andreas M. Hinz ..., ed. |
| title_short | The Tower of Hanoi: myths and maths |
| title_sort | the tower of hanoi myths and maths |
| topic | Turm von Hanoi (DE-588)4518384-3 gnd Mathematik (DE-588)4037944-9 gnd Algorithmus (DE-588)4001183-5 gnd Graphentheoretisches Modell (DE-588)4158055-2 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd Methodologie (DE-588)4139716-2 gnd |
| topic_facet | Turm von Hanoi Mathematik Algorithmus Graphentheoretisches Modell Unterhaltungsmathematik Methodologie |
| url | https://doi.org/10.1007/978-3-0348-0237-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780483&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780483&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hinzandreasm thetowerofhanoimythsandmaths |