Pangeometry

Pangeometry
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher: European Mathematical Society
Total Pages: 332
Release: 2010
Genre: Mathematics
ISBN: 9783037190876

Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.

Warped Space

Warped Space
Author: Anthony Vidler
Publisher: MIT Press
Total Pages: 324
Release: 2002-02-22
Genre: Art
ISBN: 9780262720410

How psychological ideas of space have profoundly affected architectural and artistic expression in the twentieth century. Beginning with agoraphobia and claustrophobia in the late nineteenth century, followed by shell shock and panic fear after World War I, phobias and anxiety came to be seen as the mental condition of modern life. They became incorporated into the media and arts, in particular the spatial arts of architecture, urbanism, and film. This "spatial warping" is now being reshaped by digitalization and virtual reality. Anthony Vidler is concerned with two forms of warped space. The first, a psychological space, is the repository of neuroses and phobias. This space is not empty but full of disturbing forms, including those of architecture and the city. The second kind of warping is produced when artists break the boundaries of genre to depict space in new ways. Vidler traces the emergence of a psychological idea of space from Pascal and Freud to the identification of agoraphobia and claustrophobia in the nineteenth century to twentieth-century theories of spatial alienation and estrangement in the writings of Georg Simmel, Siegfried Kracauer, and Walter Benjamin. Focusing on current conditions of displacement and placelessness, he examines ways in which contemporary artists and architects have produced new forms of spatial warping. The discussion ranges from theorists such as Jacques Lacan and Gilles Deleuze to artists such as Vito Acconci, Mike Kelley, Martha Rosler, and Rachel Whiteread. Finally, Vidler looks at the architectural experiments of Frank Gehry, Coop Himmelblau, Daniel Libeskind, Greg Lynn, Morphosis, and Eric Owen Moss in the light of new digital techniques that, while relying on traditional perspective, have radically transformed the composition, production, and experience—perhaps even the subject itself—of architecture.

Non-Euclidean Geometry

Non-Euclidean Geometry
Author: Roberto Bonola
Publisher:
Total Pages: 296
Release: 1912
Genre: Geometry
ISBN:

Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.

El Lissitzky on Paper

El Lissitzky on Paper
Author: Samuel Johnson
Publisher: University of Chicago Press
Total Pages: 249
Release: 2024
Genre: Architecture
ISBN: 022652423X

"The artist and architect El Lissitzky (1890-1941) is celebrated for his contributions to painting, architecture, photography, and graphic design, and for his role in disseminating Russian and Soviet avant-garde art in Europe during the 1920s. Though he worked in a diversity of media, Lissitzky nonetheless produced the majority of his work on paper in the form of innovative photomontages, architectural drawings, lithographs, typography, books, and photo magazines. This monograph--the first career-spanning archival study of Lissitzky since 1968--reveals that the artist's multiple pursuits arose from his deep commitment to print as the premier medium of public exchange in the young and turbulent twentieth century. Samuel Johnson demonstrates that paper and print media were preoccupations that shaped Lissitzky's worldview, values, politics, and production in ways that have never been fully appreciated. Probing Lissitzky's stance on the problems of distribution and reception, this book offers a compelling and nuanced portrait of Lissitzky as experimenter, visionary designer, technocrat, and propagandist-the very prototype of the twentieth-century artist, with a legacy that remains largely on paper"--

Non-Euclidean Geometry

Non-Euclidean Geometry
Author: Roberto Bonola
Publisher: Cosimo, Inc.
Total Pages: 289
Release: 2007-05-01
Genre: Mathematics
ISBN: 1602064652

Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, others. Includes 181 diagrams.

Narrating Architecture

Narrating Architecture
Author: James Madge
Publisher: Routledge
Total Pages: 513
Release: 2006-09-27
Genre: Architecture
ISBN: 1134189672

This anthology brings together the best and most interesting papers from the first ten years of The Journal of Architecture, published together for the first time in a single volume. Covering a wide range of topics of central importance to architecture today, the papers also address the related topics to which architecture and architectural studies are inextricably linked. The invited authors draw on sociology, philosophy, cultural studies and the sciences to round out the collection and highlight the breadth and vitality of modern architectural studies, offering perspectives from different disciplines as well as different corners of the globe.

The Monist

The Monist
Author: Paul Carus
Publisher:
Total Pages: 786
Release: 1908
Genre: Electronic journals
ISBN:

Vols. 2 and 5 include appendices.

The Facts on File Geometry Handbook

The Facts on File Geometry Handbook
Author: Catherine A. Gorini
Publisher: Infobase Publishing
Total Pages: 289
Release: 2014-05-14
Genre: Mathematics
ISBN: 1438109571

Contains a history of the subject of geometry, including more than 3,000 entries providing definitions and explanations of related topics, plus brief biographies of over 300 scientists.