VRSTA GRADIVA | monografska publikacija, tekstovno gradivo, tiskano, 2.01 - znanstvena monografija |
ISBN | 978-3-0348-0236-9 |
DRŽAVA IZIDA | Švica |
LETO IZIDA | 2018 |
JEZIK BESEDILA/IZVIRNIKA | angleški |
PISAVA | latinica |
VRSTA VSEBINE | znanstveno delo |
DELO IMA | ilustracije |
AVTOR | Hinz, Andreas M. - avtor |
ODGOVORNOST | Klavžar, Sandi - avtor // Petr, Ciril - avtor // Stewart, Ian - avtor dodatnega besedila |
NASLOV | ǂThe ǂtower of Hanoi - Myths and Maths |
SPLOŠNO O IZDAJI | 2nd ed. |
IMPRESUM | Cham : Birkhäuser, cop. 2018 |
FIZIČNI OPIS | . - XVIII, 458 str. : ilustr. ; 25 cm |
OPOMBE | Bibliografija: str. 409-435 // Kazala // The solitaire game "The Tower of Hanoi" was invented in the 19th century by theFrench number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs,and also includes unpublished material, e.g., on some captivating integer sequences. 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, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants. The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the "The Reve's Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. 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 alikeDostopno tudi na: https://doi.org/10.1007/978-3-319-73779-9 (dostop s plačilom) |
OSTALI NASLOVI | ǂThe ǂtower of Hanoi // Hanojski stolpi - mitiin matematika |
PREDMETNE OZNAKE | // Računalniške igre |
PREDMETNE OZNAKE | kitajski obroči // Frame-Stewartova domneva //Grayjeva koda // zgodovina iger // trikotnik Sierpińskega // grafi Sierpińskega // hanojski stolp // londonski stolp // algoritmi // kognitivni testi // končni avtomati // celoštevilska zaporedja // graf stanj // kombinatorika |
UDK | 004.5:794, 519.1 |
UDK ZA STATISTIKO | 004, 51 |
DRUGE KLASIFIKACIJE | 00-02, 01A99, 05-03, 05A99, 05C, 05E18, 11B, 11K55, 11Y55, 20B25, 28A80, 54E35, 68Q25, 68R05, 68T20, 91A46, 91E10, 94B25, 97A20 MSC 2010 |