Euclid's Elements

Euclid's Elements

Author: Euclid

Publisher:

Published: 2002

Total Pages: 544

ISBN-13:

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"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.


Advanced Euclidean Geometry

Advanced Euclidean Geometry

Author: Roger A. Johnson

Publisher: Courier Corporation

Published: 2013-01-08

Total Pages: 338

ISBN-13: 048615498X

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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.


Relativity and Geometry

Relativity and Geometry

Author: Roberto Torretti

Publisher: Courier Corporation

Published: 1996-01-01

Total Pages: 417

ISBN-13: 0486690466

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Early in this century, it was shown that the new non-Newtonian physics -- known as Einstein's Special Theory of Relativity -- rested on a new, non-Euclidean geometry, which incorporated time and space into a unified "chronogeometric" structure. This high-level study elucidates the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phase of Relativity. After a discussion of Newtonian principles and 19th-century views on electrodynamics and the aether, the author offers illuminating expositions of Einstein's electrodynamics of moving bodies, Minkowski spacetime, Einstein's quest for a theory of gravity, gravitational geometry, the concept of simultaneity, time and causality and other topics. An important Appendix -- designed to define spacetime curvature -- considers differentiable manifolds, fiber bundles, linear connections and useful formulae. Relativity continues to be a major focus of interest for physicists, mathematicians and philosophers of science. This highly regarded work offers them a rich, "historico-critical" exposition -- emphasizing geometrical ideas -- of the elements of the Special and General Theory of Relativity.


A Geometry of Music

A Geometry of Music

Author: Dmitri Tymoczko

Publisher: OUP USA

Published: 2011-03-21

Total Pages: 469

ISBN-13: 0195336674

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In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.


Principles of Geometry

Principles of Geometry

Author: H. F. Baker

Publisher: Cambridge University Press

Published: 2010-10-31

Total Pages: 204

ISBN-13: 1108017770

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A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.


Faces of Geometry

Faces of Geometry

Author: Paola Magnaghi-Delfino

Publisher: Springer Nature

Published: 2021-04-03

Total Pages: 322

ISBN-13: 3030637026

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The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.