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The Austrian scientist Ernst Mach (1838-1916) carried out work of importance in many fields of enquiry, including physics, physiology, psychology and philosophy. Published in this English translation of 1906, these essays examine geometry from three different perspectives. Mach argues that, as our ideas about space are created by the senses and how we experience our environment, researchers must not consider the subject from a mathematical standpoint alone. In the first essay, he explains how humans generate spatial concepts. Next, he discusses the psychology of geometry, its empirical origins, and its development. In the final piece, he writes from the viewpoint of a physicist, outlining how various mathematicians, such as Carl Friedrich Gauss and Bernhard Riemann, have contributed to our geometrical understanding. Also reissued in this series in English translation are Mach's The Science of Mechanics (1893) and Popular Scientific Lectures (1895).
Space perception. --- Geometry --- Foundations.
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Young people imagine, perceive, experience, talk about, use, and produce space in a wide variety of ways. In doing so, they acquire and produce stocks of spatial knowledge. A quite dynamic and ever-changing process by nature, young people's production and acquisition of spatial knowledge are susceptible to many kinds of conditions--from those that shape their everyday routines to those that constitute historical turning points. Against this backdrop and drawing on a qualitative metaanalysis, the authors set out to discover what changes the spatial knowledge of young people has undergone during the past five decades. To that end, sixty published studies were sampled, analyzed, and synthesized to offer a meta-interpretation in terms of both the evolution of young people's spatial knowledge and the refiguration of spaces. As such, this book will appeal to scholars conducting spatial research on childhood and youth as well as scholars interested in urban studies from diverse disciplines such as sociology, anthropology, geography, architecture, urban planning, and design. The Open Access version of this book, available at http://www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license. The Open Access fee was funded by Technische Universitt Berlin.
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Space perception. --- Typology --- Architecture
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Space perception. --- Architecture --- Concepts
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Space perception. --- Photography --- Arts
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Space perception --- Semantics --- Analysis.
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Space perception. --- Architecture --- Esthetics
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ARCHITECTURE --- SPACE PERCEPTION --- THEORIES