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Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher:
ISBN:
Category : Geometry, Hyperbolic
Languages : iw
Pages : 62
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Book Description
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher:
ISBN:
Category : Geometry, Hyperbolic
Languages : iw
Pages : 62
Get Book Here
Book Description
Author: Nicholas Lobachevski
Publisher:
ISBN: 9781603860154
Category : Mathematics
Languages : en
Pages : 56
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Book Description
'What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevski to Euclid.' An unabridged printing, to include all figures, from the translation by Halsted.
Author: Richard S. Millman
Publisher: Springer Science & Business Media
ISBN: 9780387974125
Category : Mathematics
Languages : en
Pages : 394
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Book Description
Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.
Author: Ray Lucas
Publisher: Routledge
ISBN: 1317148207
Category : Architecture
Languages : en
Pages : 393
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Book Description
Drawing Parallels expands your understanding of the workings of architects by looking at their work from an alternative perspective. The book focuses on parallel projections such as axonometric, isometric, and oblique drawings. Ray Lucas argues that by retracing the marks made by architects, we can begin to engage more directly with their practice as it is only by redrawing the work that hidden aspects are revealed. The practice of drawing offers significantly different insights, not easily accessible through discourse analysis, critical theory, or observation. Using James Stirling, JJP Oud, Peter Eisenman, John Hejduk, and Cedric Price as case studies, Lucas highlights each architect's creative practices which he anaylses with reference to Bergson's concepts of temporality and cretivity, discussing ther manner in which creative problems are explored and solved. The book also draws on a range of anthropological ideas including skilled practice and enchantment in order to explore why axonometrics are important to architecture and questions the degree to which the drawing convention influences the forms produced by architects. With 60 black-and-white images to illustrate design development, this book would be an essential read for academics and students of architecture with a particular interest in further understanding the inner workings of the architectural creative process.
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: Duncan M'Laren Young Sommerville
Publisher:
ISBN:
Category : Geometry, Non-Euclidean
Languages : en
Pages : 444
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Book Description
Author: L. Magnani
Publisher: Springer Science & Business Media
ISBN: 9401096228
Category : Science
Languages : en
Pages : 284
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Book Description
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher: European Mathematical Society
ISBN: 9783037190876
Category : Mathematics
Languages : en
Pages : 332
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Book Description
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.
Author: Boris A. Rosenfeld
Publisher: Springer Science & Business Media
ISBN: 1441986804
Category : Mathematics
Languages : en
Pages : 481
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Book Description
The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Author: Solomon Spaulding
Publisher:
ISBN:
Category : America
Languages : en
Pages : 130
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Book Description
