Mathland: From Flatland to Hypersurfaces

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Springer Science & Business Media, 2004 - Architecture - 93 pages
IT Revolution in Architecture is a series which looks at architecture in the light of the electronic revolution, reflecting on the effects which the virtual dimension is having on architects and architecture in general. Each volume examines a single topic, highlighting the essential aspects and exploring their relevance for the architects of today. How the latest forms of mathematics help us shape the space around us - the fascinating story of a radical transformation. The latest book in our successful series IT Revolution in Architecture provides a concise summary of how our perception of the space around us has radically changed in recent years. We could even go as far as to say that we ourselves shape the space around us according to how our perceptions of the universe alter and develop, and mathematics plays a pivotal role. In this book, the "virtual" protagonist of the journey through the concept of space is the square.
 

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Contents

from Euclid to The Death Star
18
What is Mathematics?
19
The Creation of Mathematics
22
The Infinite Space
31
The Fourth Dimension
36
Mathematics Cubism and Futurism
41
The Hypercube
46
3 The Enigma of Mathematics
58
Computers and Submarines
61
4 Topology
66
Final Observations
88
Further Reading
89
Copyright

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Popular passages

Page 7 - AN UNSPEAKABLE horror seized me. There was a darkness; then a dizzy, sickening sensation of sight that was not like seeing; I saw a Line that was no Line; Space that was not Space: I was myself, and not myself. When I could find voice, I shrieked aloud in agony, "Either this is madness or it is Hell.
Page 8 - Les lignes perpendiculaires à cet horizon donnent la profondeur. Or, la nature pour nous hommes est plus en profondeur qu'en surface, d'où la nécessité d'introduire dans nos vibrations de lumière, représentées par les rouges et les jaunes, une somme suffisante de bleutés, pour faire sentir l'air.
Page 8 - ... the characters in which it is written. It is written in mathematical language, and the characters are triangles, circles, and other geometric figures.

References to this book

About the author (2004)

Michele Emmer is Professor of Mathematics at the University of Rome "La Sapienza.

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