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Beyond Geometry

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Release : 2004
Genre : Architecture
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Beyond Geometry by : Lynn Zelevansky

Download or read book Beyond Geometry written by Lynn Zelevansky. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: 'Beyond Geometry' brings together examples of European and Latin American concrete art, Argentine Arte Madí, Brazilian Neo-Concretism, Kinetic and Op Art, Minimalism and various forms of post-Minimalism including systematic forms of process and conceptual art.

Beyond Geometry

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Author :
Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 502/5 ( reviews)

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Book Synopsis Beyond Geometry by : Peter Pesic

Download or read book Beyond Geometry written by Peter Pesic. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.

Geometry: Euclid and Beyond

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Author :
Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 761/5 ( reviews)

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Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Beyond Geometry

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Author :
Release : 2011
Genre : Geometry
Kind : eBook
Book Rating : 452/5 ( reviews)

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Book Synopsis Beyond Geometry by : John Tabak

Download or read book Beyond Geometry written by John Tabak. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The History of Mathematics is a six-volume set that examines the development of the science through discovery, innovation, collaboration, and experimentation. Designed to complement mathematics curricula, each volume covers a significant development in recent mathematical history as well as the subject's origins. The books represent a fascinating overview of the contributions that mathematical research has made to the physical world. Beyond Geometry examines topology, a major branch of mathematics concerned with the presentation of spatial properties under continuous deformations, such as stretching, from its inception in the early 19th century to today. Throughout history, Euclidean geometry was the accepted language of mathematics, but as mathematicians began to see its limitations, new theorems were tested that evolved into this new branch of mathematics. The book gives a straightforward overview of the rapid advancement of topology and explains such subsets of set-theoretic topology as dimension theory. It also includes an exclusive interview with Dr. Scott Williams, a distinguished professor of mathematics at the University of Buffalo, who discusses the contributions and goals of this innovative field of mathematics. The volume includes information on dimension history of topology the Hausdorff dimension limitations of geometry the Moore method set theory the standard axioms topological spaces The book contains 30 color photographs and four-color line illustrations, sidebars, a chronology, a glossary, a detailed list of print and Internet resources, and an index. The History of Mathematics is essential for high school students, teachers, and general readers who wish to understand the contributions of the major branches of mathematics. Book jacket.

Geometry and Topology of Manifolds: Surfaces and Beyond

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Release : 2020-10-21
Genre : Education
Kind : eBook
Book Rating : 323/5 ( reviews)

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Book Synopsis Geometry and Topology of Manifolds: Surfaces and Beyond by : Vicente Muñoz

Download or read book Geometry and Topology of Manifolds: Surfaces and Beyond written by Vicente Muñoz. This book was released on 2020-10-21. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal. Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study. The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.

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