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Who has not seen a picture of the Great Pyramid of Egypt, massive in size but deceptively simple in shape, and not wondered how that shape was determined? Starting in the late eighteenth century, eleven main theories were proposed to explain the shape of the Great Pyramid. Even though some of these theories are well known, there has never been a detailed examination of their origins and dissemination. Twenty years of research using original and difficult-to-obtain source material has allowed Roger Herz-Fischler to piece together the intriguing story of these theories. Archaeological evidence and ancient Egyptian mathematical texts are discussed in order to place the theories in their proper ...
This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
A calculus formula, a calculating boy, a young woman who is intelligent but unwise -- the ingredients for a gripping story and the thematic fulcrum for The Limit of Delta Y Over Delta X, a rivetting new collection of stories by Halifax writer Richard Cumyn. In this idiosyncratic collection of stories, Cumyn explores the surface tension between men and women and those rare moments of insight that often accompany loss. Casting his imagination over the territory extending from adolescence to middle-age, Cumyn finds plenty to contemplate and lots to laugh about as the men and women of his stories brushup against each other, sometimes violently, and often humorously.
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Numerous spatial biases influence navigation, interactions, and preferences in our environment. This volume considers their influences on perception and memory.
Including case studies, this collection of engaging and stimulating essays written by a diverse group of scholars, scientists and writers examines the phenomenon of pseudoarchaeology from a variety of perspectives.
During the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world. This volume makes its contribution by offering new interdisciplinary approaches that not only investigate perspective but also examine how mathematics enriched aesthetic theory and the human mind. The contributors explore the portrayal of mathematical activity and mathematicians as well as their ideas and instruments, how artists displayed their mathematical skills and the choices visual artists made...
Shostakovich's music is often described as being dynamic, energetic. But what is meant by 'energy' in music? After setting out a broad conceptual framework for approaching this question, Michael Rofe proposes various potential sources of the perceived energy in Shostakovich's symphonies, describing also the historical significance of energeticist thought in Soviet Russia during the composer's formative years. The book is in two parts. In Part I, examples are drawn from across the symphonies in order to demonstrate energy streams within various musical dimensions. Three broad approaches are adopted: first, the theories of Boleslav Yavorsky are used to consider melodic-harmonic motion; second,...
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.