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Author: Marcel Danesi Publisher: Oxford University Press ISBN: 0198925328 Category : Mathematics Languages : en Pages : 257
Book Description
Propositiones ad acuendos juvenes (“Problems to Sharpen the Young”) is a ninth-century book written by medieval teacher and scholar Alcuin of York. Today, it has become one of the foundational texts in what is commonly called recreational mathematics. The book has been translated in many languages and analysed from various mathematical angles and perspectives, from contemporary arithmetic and geometry to the nature of sequences. It is not only a collection of ingenious and challenging puzzles, but the core ideas collected in this book have become major themes and branches of mathematics. Here, Marcel Danesi revisits all fifty-three problems in Alcuin's original text, providing detailed solutions and analyses. Alcuin's Recreational Mathematics examines the problems in the Propositiones in easy-to-follow language, extracting from them the notions and techniques that today constitute basic mathematics. Each chapter discusses Alcuin's problems more broadly, and ends with ten exploratory puzzles based on Alcuin's original problems and related themes. Answers and detailed solutions are included at the back. Alcuin's Recreational Mathematics demonstrates how Alcuin's Propositiones puts basic mathematical thinking on display via ingenious problems that often require outside-of-the-box thinking, constituting an original and imaginative investigation of mathematics in its essence.
Author: Marcel Danesi Publisher: Oxford University Press ISBN: 0198925328 Category : Mathematics Languages : en Pages : 257
Book Description
Propositiones ad acuendos juvenes (“Problems to Sharpen the Young”) is a ninth-century book written by medieval teacher and scholar Alcuin of York. Today, it has become one of the foundational texts in what is commonly called recreational mathematics. The book has been translated in many languages and analysed from various mathematical angles and perspectives, from contemporary arithmetic and geometry to the nature of sequences. It is not only a collection of ingenious and challenging puzzles, but the core ideas collected in this book have become major themes and branches of mathematics. Here, Marcel Danesi revisits all fifty-three problems in Alcuin's original text, providing detailed solutions and analyses. Alcuin's Recreational Mathematics examines the problems in the Propositiones in easy-to-follow language, extracting from them the notions and techniques that today constitute basic mathematics. Each chapter discusses Alcuin's problems more broadly, and ends with ten exploratory puzzles based on Alcuin's original problems and related themes. Answers and detailed solutions are included at the back. Alcuin's Recreational Mathematics demonstrates how Alcuin's Propositiones puts basic mathematical thinking on display via ingenious problems that often require outside-of-the-box thinking, constituting an original and imaginative investigation of mathematics in its essence.
Author: David Singmaster Publisher: World Scientific ISBN: 9811251622 Category : Mathematics Languages : en Pages : 494
Book Description
David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.
Author: Menso Folkerts Publisher: Taylor & Francis ISBN: 1000941361 Category : History Languages : en Pages : 384
Book Description
This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.
Author: Yvonne Dold-Samplonius Publisher: Franz Steiner Verlag ISBN: 9783515082235 Category : Mathematics Languages : en Pages : 486
Book Description
The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.
Author: Marcel Danesi Publisher: Routledge ISBN: 1000185508 Category : Social Science Languages : en Pages : 230
Book Description
An Anthropology of Puzzles argues that the human brain is a "puzzling organ" which allows humans to literally solve their own problems of existence through puzzle format. Noting the presence of puzzles everywhere in everyday life, Marcel Danesi looks at puzzles in society since the dawn of history, showing how their presence has guided large sections of human history, from discoveries in mathematics to disquisitions in philosophy. Danesi examines the cognitive processes that are involved in puzzle making and solving, and connects them to the actual physical manifestations of classic puzzles. Building on a concept of puzzles as based on Jungian archetypes, such as the river crossing image, the path metaphor, and the journey, Danesi suggests this could be one way to understand the public fascination with puzzles. As well as drawing on underlying mental archetypes, the act of solving puzzles also provides an outlet to move beyond biological evolution, and Danesi shows that puzzles could be the product of the same basic neural mechanism that produces language and culture. Finally, Danesi explores how understanding puzzles can be a new way of understanding our human culture.
Author: Dieter Bitterli Publisher: University of Toronto Press ISBN: 1442692022 Category : Literary Criticism Languages : en Pages : 233
Book Description
Perhaps the most enigmatic cultural artifacts that survive from the Anglo-Saxon period are the Old English riddle poems that were preserved in the tenth century Exeter Book manuscript. Clever, challenging, and notoriously obscure, the riddles have fascinated readers for centuries and provided crucial insight into the period. In Say What I Am Called, Dieter Bitterli takes a fresh look at the riddles by examining them in the context of earlier Anglo-Latin riddles. Bitterli argues that there is a vigorous common tradition between Anglo-Latin and Old English riddles and details how the contents of the Exeter Book emulate and reassess their Latin predecessors while also expanding their literary and formal conventions. The book also considers the ways in which convention and content relate to writing in a vernacular language. A rich and illuminating work that is as intriguing as the riddles themselves, Say What I Am Called is a rewarding study of some of the most interesting works from the Anglo-Saxon period.
Author: David Darling Publisher: Turner Publishing Company ISBN: 0470307889 Category : Mathematics Languages : en Pages : 692
Book Description
Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven
Author: Miodrag Petkovi_ Publisher: American Mathematical Soc. ISBN: 0821848143 Category : Mathematics Languages : en Pages : 346
Book Description
This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics.
Author: Antal Balog Publisher: Birkhäuser ISBN: 3034888988 Category : Mathematics Languages : en Pages : 412
Book Description
This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua.
Author: Marcel Danesi
Author: Marcel Danesi
Author: David Singmaster
Author: Menso Folkerts
Author: Yvonne Dold-Samplonius
Author: Marcel Danesi
Author: Meg Boulton
Author: Dieter Bitterli
Author: David Darling
Author: Miodrag Petkovi_
Author: Antal Balog