The Best Writing on Mathematics 2018

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 0691182760

Category: Mathematics

Page: 272

View: 6041

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The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
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The Tower of Hanoi – Myths and Maths

Author: Andreas M. Hinz,Sandi Klavžar,Ciril Petr

Publisher: Birkhäuser

ISBN: 3319737791

Category: Mathematics

Page: 452

View: 2456

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The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French 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myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences.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 alike. Excerpts from reviews of the first edition: “The book is an unusual, but very welcome, form of mathematical writing: recreational mathematics taken seriously and serious mathematics treated historically. I don’t hesitate to recommend this book to students, professional research mathematicians, teachers, and to readers of popular mathematics who enjoy more technical expository detail.” Chris Sangwin, The Mathematical Intelligencer 37(4) (2015) 87f. “The book demonstrates that the Tower of Hanoi has a very rich mathematical structure, and as soon as we tweak the parameters we surprisingly quickly find ourselves in the realm of open problems.” László Kozma, ACM SIGACT News 45(3) (2014) 34ff. “Each time I open the book I discover a renewed interest in the Tower of Hanoi. I am sure that this will be the case for all readers.” Jean-Paul Allouche, Newsletter of the European Mathematical Society 93 (2014) 56.
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Faith, Medical Alchemy, and Natural Philosophy

Johann Moriaen, Reformed Intelligencer and the Hartlib Circle

Author: John T. Young

Publisher: Ashgate Pub Limited

ISBN: N.A

Category: Medical

Page: 278

View: 9502

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This is a fundamental re-assessment of the world-view of the alchemists, natural philosophers and intelligencers of the mid 17th century.Based almost entirely upon the extensive and hitherto little-researched manuscript archive of Samuel Hartlib, it charts and contextualises the personal and intellectual history of Johann Moriaen (c.1592-1668), a Dutch-German alchemist and natural philosopher. Moriaen was closely acquainted with many of the leading thinkers and experimenters of his time, including René Descartes, J.A. Comenius, J.R. Glauber and J.S. Küffler. His detailed reports of relations with these figures and his response to their work provide a uniquely informed insight into the world of alchemy and natural philosophy. This study also illuminates the nature and mechanisms of intellectual and technological exchanges between Germany, The Netherlands and England.
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