Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation. Very little prior mathematical knowledge is assumed, other th

Fibonacci numbers. --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Number theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In this text, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are also presented.

Fibonacci numbers. --- Golden section. --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's storyIn 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers-which, it so happens, he didn't invent-Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci-the "Book of Calculation"-introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized.Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story.Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him.

Mathematics. --- Fibonacci numbers. --- Fibonacci, Leonardo, --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Math --- Science --- To 1500 --- Italy. --- Italia --- Italian Republic --- Italianska republika --- Italʹi͡anskai͡a Rėspublika --- Italie --- Italien --- Italii͡ --- Italii͡a Respublikasi --- Italiĭsʹka Respublika --- Itālija --- Itālijas Republika --- Italijos Respublika --- Italikē Dēmokratia --- Īṭāliy --- Italiya Respublikasi --- It'allia --- It'allia Konghwaguk --- İtalya --- İtalya Cumhuriyeti --- Iṭalyah --- Iṭalye --- Itaria --- Itaria Kyōwakoku --- Jumhūrīyah al-Īṭālīyah --- Kgl. Italienische Regierung --- Königliche Italienische Regierung --- Laško --- Lýðveldið Ítalía --- Olasz Köztársaság --- Olaszország --- Regno d'Italia --- Repubblica italiana --- Republiḳah ha-Iṭalḳit --- Włochy --- Yidali --- Yidali Gongheguo --- Italy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more. Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Mathematical recreations. --- Mathematical recreations --- Research. --- Mathematical puzzles --- Number games --- Recreational mathematics --- Recreations, Mathematical --- Puzzles --- Scientific recreations --- Games in mathematics education --- Magic squares --- Magic tricks in mathematics education --- Mathematics. --- Mathematic --- Amazing Asteroid. --- Atoll. --- Begird. --- Bernstein's Bijection. --- Chromatic Combat. --- Cookie Monster number. --- Cookie Monster. --- Devious Dice. --- Eluding Execution. --- EndGame. --- Fibonacci sequence. --- Flipping Fun. --- Flush. --- Full House. --- Get the Giraffe. --- Gilbreath numbers. --- Gilbreath permutations. --- Graeco-Latin squares. --- Hamming weight. --- Heartless Poker. --- Hex. --- Knop's puzzle. --- Leonhard Euler. --- Norman Gilbreath. --- SET. --- Sperner's Lemma. --- Straight. --- Super-n-nacci sequence. --- The Game of Y. --- The New York Times. --- Tower of Hanoi. --- Traveling Salesman Problem. --- Tribonacci sequence. --- Zeckendorf representation. --- advanced mathematics. --- affine plane. --- affine planes. --- algorithms. --- baseball. --- card effects. --- card games. --- card moves. --- card tricks. --- chess. --- coding theory. --- coin-weighing puzzles. --- connection games. --- continued fractions. --- cookies. --- coupling. --- crossword networks. --- crossword puzzle difficulty. --- crossword puzzles. --- decomposition. --- delta-to-wye transformation. --- dissection puzzles. --- divination puzzles. --- dualism. --- electrical power distribution. --- epidemics. --- error correction. --- error detection. --- error-correcting codes. --- find-and-label problem. --- flexagons. --- folding puzzles. --- game-theoretic perspective. --- generalizations. --- generator assignment. --- graphical objects. --- group structures. --- ice cream trick. --- infinite families. --- iterative stochastic process. --- just-find problem. --- linear code. --- magic tricks. --- mathematical exhibits. --- mathematical puzzles. --- maze design. --- mazes. --- minimum spanning tree. --- multiple-pans problem. --- museums. --- n-nacci sequence. --- network properties. --- network structure. --- one-move puzzles. --- packing puzzles. --- parallel scales. --- parallel weighing problem. --- period-four move. --- period-four principles. --- phyllotactic mazes. --- playing cards. --- poker. --- probability. --- random graph process. --- random moves. --- random walks. --- rearrangement puzzles. --- recreational mathematics. --- recreational problems. --- seeded stippling. --- simple objects. --- simplex. --- squash. --- surreal numbers. --- symmetries. --- tetraflexagons. --- tic-tac-toe. --- unique solutions. --- vortex tiles. --- weighing puzzles. --- winning strategies.