| VRSTA GRADIVA | monografska publikacija, tekstovno gradivo, tiskano, 2.01 - znanstvena monografija |
| ISBN | 978-3-0348-0236-9 |
| DRŽAVA IZIDA | Švica |
| LETO IZIDA | 2013 |
| JEZIK BESEDILA/IZVIRNIKA | angleški |
| PISAVA | latinica |
| VRSTA VSEBINE | znanstveno delo |
| DELO IMA | ilustracije |
| ODGOVORNOST | Hinz, Andreas M. - avtor // Klavžar, Sandi - avtor // Milutinović, Uroš - avtor // Petr, Ciril - avtor // Stewart, Ian -avtor dodatnega besedila |
| NASLOV | ǂThe ǂtower of Hanoi - Myths and Maths |
| IMPRESUM | Basel [etc.] : Birkhäuser, cop. 2013 |
| FIZIČNI OPIS | . - XV, 335 str. : ilustr. ; 25 cm |
| OPOMBE | Bibliografija: str. 297-317 (352 enot) // Kazala // This is the first comprehensive monograph on the mathematical theory of the solitaire game "The Tower of Hanoi" which was invented in the19th 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 containsa thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material.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 graphsand the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs forman 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-Stewartconjecture. 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.Dostopno tudi na: http://dx.doi.org/10.1007/978-3-0348-0237-6 |
| OSTALI NASLOVI | ǂThe ǂtower of Hanoi // Hanojski stolpi - mitiin matematika |
| PREDMETNE OZNAKE | // Računalniške igre |
| PREDMETNE OZNAKE | matematika // kombinatorika // kitajski obroči// Frame-Stewartova domneva // Grayjeva koda // zgodovina iger // trikotnikSierpińskega // grafi Sierpińskega // londonski stolp |
| UDK | 004.5:794, 519.1 |
| UDK ZA STATISTIKO | 004 |
| DOI | 10.1007/978-3-0348-0237-6 |