Beyond Geometry PDF Download

Author: Lynn Zelevansky
Publisher: MIT Press (MA)
ISBN:
Category : Architecture
Languages : en
Pages : 248

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Book Description
'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.

Author: Peter Pesic
Publisher: Courier Corporation
ISBN: 0486453502
Category : Mathematics
Languages : en
Pages : 226

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Book Description
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.

Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535

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Book Description
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.

Author: John Tabak
Publisher:
ISBN: 9780816079452
Category : Geometry
Languages : en
Pages : 0

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Book Description
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.

Author: Vicente Muñoz
Publisher: American Mathematical Soc.
ISBN: 1470461323
Category : Education
Languages : en
Pages : 420

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Book Description
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.

Author: Ian Reid
Publisher: Gingko Press
ISBN: 9781584237709
Category : Photography
Languages : en
Pages : 112

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Book Description
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.

Author: Maison de l'Amérique latine (Paris, France)
Publisher: 5Continents
ISBN:
Category : Art
Languages : en
Pages : 256

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Book Description
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: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486141705
Category : Mathematics
Languages : en
Pages : 578

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Book Description
This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.

Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Author: George Stacey Staples
Publisher: World Scientific
ISBN: 9811202591
Category : Mathematics
Languages : en
Pages : 378

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Book Description
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.