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Beyond Geometry by Lynn Zelevansky,Valerie L. Hillings Pdf
'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.
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 by Robin Hartshorne Pdf
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.
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 by Vicente Muñoz,Ángel González-Prieto,Juan Ángel Rojo Pdf
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.
Geometrie hors limites-Geometry beyond limits. Catalogo della mostra (Parigi, 11 febbraio-26 marzo 2010). Ediz. illustrata by Maison de l'Amérique latine (Paris, France) Pdf
A powerful view of contemporary Latin American art from the Jean and Colette Cherqui Collection, one of the largest in the world.
Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond by George Stacey Staples Pdf
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.
Beyond Einstein by David E. Rowe,Tilman Sauer,Scott A. Walter Pdf
Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Poncelet Porisms and Beyond by Vladimir Dragović,Milena Radnović Pdf
The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important results and ideas, classical as well as modern, connected to the Poncelet theorem are presented, together with a historical overview analyzing the classical ideas and their natural generalizations. Special attention is paid to the realization of the Griffiths and Harris programme about Poncelet-type problems and addition theorems. This programme, formulated three decades ago, is aimed to understanding the higher-dimensional analogues of Poncelet problems and the realization of the synthetic approach of higher genus addition theorems.
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.
Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.
An Introduction to Differential Geometry by T. J. Willmore Pdf
A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry. Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.
The Geometry of René Descartes by René Descartes Pdf
The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.
This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements: Understanding the key ideas of the geometry curriculum. Learning geometry effectively: lessons from research and current practice. Misconceptions and errors. Geometry reasoning: problem solving and proving. The role of technology in learning geometry.
