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Beyond Geometry

Beyond Geometry
Author: Lynn Zelevansky
Publisher: MIT Press (MA)
Total Pages: 248
Release: 2004
Genre: Architecture
ISBN:

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'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

Beyond Geometry
Author: Peter Pesic
Publisher: Courier Corporation
Total Pages: 226
Release: 2007-01-01
Genre: Mathematics
ISBN: 0486453502

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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.


Beyond Geometry

Beyond Geometry
Author: John Tabak
Publisher:
Total Pages: 0
Release: 2011
Genre: Geometry
ISBN: 9780816079452

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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: Euclid and Beyond

Geometry: Euclid and Beyond
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Total Pages: 535
Release: 2013-11-11
Genre: Mathematics
ISBN: 0387226761

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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.


Geometry and Topology of Manifolds: Surfaces and Beyond

Geometry and Topology of Manifolds: Surfaces and Beyond
Author: Vicente Muñoz
Publisher: American Mathematical Soc.
Total Pages: 408
Release: 2020-10-21
Genre: Education
ISBN: 1470461323

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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.


Complex Geometry

Complex Geometry
Author: Ian Reid
Publisher: Gingko Press
Total Pages: 112
Release: 2022-02-15
Genre: Photography
ISBN: 9781584237709

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Photographer and documentarian Ian Reid was born and raised in Fort Greene, Brooklyn. In 2018 he set out to photograph 23 public housing developments in Brooklyn from above. His goal was to preserve the architecture and to present the structures without any preconceived notions of what goes on within. The images are framed by the streets they are defined by, often showing how they look with the changing seasons. Gentrification and development have changed the surroundings of the public housing, but the buildings and its residents for the most part stay the same. Complex Geometry respects the true residents of Brooklyn and pays homage to where Reid grew up and still spends a great deal of his time.


Geometrie hors limites-Geometry beyond limits. Catalogo della mostra (Parigi, 11 febbraio-26 marzo 2010). Ediz. illustrata

Geometrie hors limites-Geometry beyond limits. Catalogo della mostra (Parigi, 11 febbraio-26 marzo 2010). Ediz. illustrata
Author: Maison de l'Amérique latine (Paris, France)
Publisher: 5Continents
Total Pages: 256
Release: 2010-09
Genre: 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.


Kiselev's Geometry

Kiselev's Geometry
Author: Andreĭ Petrovich Kiselev
Publisher:
Total Pages: 192
Release: 2008
Genre: Geometry
ISBN:

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This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.


Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond

Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond
Author: George Stacey Staples
Publisher: World Scientific
Total Pages: 378
Release: 2019-09-24
Genre: Mathematics
ISBN: 9811202591

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Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential applications in an increasingly technological world.As a graduate-level or advanced undergraduate-level mathematics textbook, it is suitable for self-study by researchers interested in new approaches to existing combinatorial problems and applications (wireless networks, Boolean satisfiability, coding theory, etc.).As the first textbook to explore algebraic and combinatorial properties of zeon algebras in depth, it is suitable for interdisciplinary study in analysis, algebra, and combinatorics. The material is complemented by the CliffMath software package for Mathematica, which is freely available through the book's webpage.


Invitation to Geometry

Invitation to Geometry
Author: Z. A. Melzak
Publisher: Courier Corporation
Total Pages: 244
Release: 2014-01-15
Genre: Mathematics
ISBN: 0486789489

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Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.