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Author: Jesse Norman
Publisher: Center for the Study of Language and Information Publica Tion
ISBN:
Category : Mathematics
Languages : en
Pages : 200
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Book Description
What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.
Author: Jesse Norman
Publisher: Center for the Study of Language and Information Publica Tion
ISBN:
Category : Mathematics
Languages : en
Pages : 200
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Book Description
What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.
Author: Matthew Wickman
Publisher: University of Pennsylvania Press
ISBN: 0812247957
Category : History
Languages : en
Pages : 304
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Book Description
Literature After Euclid tells the story of the creative adaptation of geometry in Scotland during and after the long eighteenth century. Analyzing the work of Scottish literati, Matthew Wickman challenges how we perceive the Scottish Enlightenment and the modernist ethos that relegated "classical" Enlightenment to the dustbin of history.
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: Benno Artmann
Publisher: Springer Science & Business Media
ISBN: 1461214122
Category : Mathematics
Languages : en
Pages : 352
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Book Description
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Author: Anna-Maria Gasser
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110670461
Category : History
Languages : en
Pages : 486
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Book Description
As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
Author: Saul Stahl
Publisher: Courier Corporation
ISBN: 0486134989
Category : Mathematics
Languages : en
Pages : 481
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Book Description
This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.
Author: Elaheh Kheirandish
Publisher: Springer Science & Business Media
ISBN: 1461214521
Category : Mathematics
Languages : en
Pages : 310
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Book Description
Like all classical Greek texts on science, Euclid's works on optics initially came to the West mainly through medieval Arabic texts and commentaries. While several Greek versions of the Optika were discovered and translated as early as the sixteenth century, sorting out what may have been Euclid's original has not been easy. This book presents a critical translation of an Arabic texts and of Arabic commentaries on the text, and places the whole in a historical context. The Optics is particularly interesting in that Euclid's text was considerably transformed in the process of translation into Arabic "equivalents"; in addition, several of the Arabic editions of Euclid's text (c. 300 BC) contained liberal admixtures of a much later book by Ptolemy (c. 200 AD) of the same title. What was referred to as "Euclid's Optics," the "Kitab Uqlidis fi Ikhtilaf al-manazir," thus became as much an exposition of an Arabic version of a visual theory as a translation of Euclid's ideas on the subject. In preparing this edition, Dr. Kheirandish has thus not only sorted out the various manuscript versions of Al-Manazir, but also related and unrelated texts that were often confused with it.
Author: Josette Campbell
Publisher: The Rosen Publishing Group, Inc
ISBN: 1499461291
Category : Juvenile Nonfiction
Languages : en
Pages : 112
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Book Description
Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.
Author: J. L. Berggren
Publisher: Routledge
ISBN: 0429659237
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.
Author: Chris Hayhurst
Publisher: The Rosen Publishing Group, Inc
ISBN: 9781404204973
Category : Juvenile Nonfiction
Languages : en
Pages : 118
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Book Description
Biography of Greek mathematician Euclid describing the lasting influence he has had on the field of geometry.