| 000 -LEADER |
|---|
| fixed length control field |
03886nam a22005055i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20140310151452.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
130130s2013 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783034802376 |
|
978-3-0348-0237-6 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA1-939 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Basel : |
| -- |
Springer Basel : |
| -- |
Imprint: Birkhäuser, |
| -- |
2013. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hinz, Andreas M. |
| Relator term |
author. |
| 245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
The Tower of Hanoi – Myths and Maths |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Andreas M. Hinz, Sandi Klavžar, Uroš Milutinović, Ciril Petr. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XV, 335 p. 133 illus., 60 illus. in color. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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 Édouard 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 Sierpiński 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Computer software. |
|
|---|
| Topical term or geographic name as entry element |
Sequences (Mathematics). |
|
|---|
| Topical term or geographic name as entry element |
Combinatorics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics, general. |
|
|---|
| Topical term or geographic name as entry element |
History of Mathematical Sciences. |
|
|---|
| Topical term or geographic name as entry element |
Sequences, Series, Summability. |
|
|---|
| Topical term or geographic name as entry element |
Combinatorics. |
|
|---|
| Topical term or geographic name as entry element |
Game Theory, Economics, Social and Behav. Sciences. |
|
|---|
| Topical term or geographic name as entry element |
Algorithm Analysis and Problem Complexity. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Klavžar, Sandi. |
| Relator term |
author. |
|
|---|
| Personal name |
Milutinović, Uroš. |
| Relator term |
author. |
|
|---|
| Personal name |
Petr, Ciril. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783034802369 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0348-0237-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
