[PDF] Geometry Beyond Limits eBook

Author : Tim Maudlin
Publisher :
Page : 374 pages
File Size : 43,38 MB
Release : 2014-02
Category : Mathematics
ISBN : 0198701306

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Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Author : Maison de l'Amérique latine (Paris, France)
Publisher : 5Continents
Page : 256 pages
File Size : 46,40 MB
Release : 2010-09
Category : Art
ISBN :

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Visionary, inspired, and original, contemporary Latin American artists draw from influences near and far. This colorful survey, which features 178 carefully selected works, celebrates some of the most exciting modern Latin American artworks to date, and also shows North American and European works that offered inspiration to these artists. Included are works by such masters as Alexander Calder and Joaquin Torres-Garcia, and by younger artists such as Carmelo Arden Quin, Juan Bay, and Alberto Biasi. The book covers New Realist and geometric abstract art of the 1940s and 1950s; optical and kinetic art from the 1950s and 1970s; and contemporary works from the 1970s to the present day, including abstract art, architecture projects, and art that incorporates new technologies.

Author : Donald W. Hight
Publisher : Courier Corporation
Page : 164 pages
File Size : 45,97 MB
Release : 2012-07-17
Category : Mathematics
ISBN : 0486153126

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An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.

Author : Boris A. Rosenfeld
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 18,95 MB
Release : 2012-09-08
Category : Mathematics
ISBN : 1441986804

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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 : Mateusz Hohol
Publisher : Routledge
Page : 188 pages
File Size : 20,41 MB
Release : 2019-09-12
Category : Psychology
ISBN : 042950859X

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The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.