Distributivity Like Results In The Medieval Traditions Of Euclid S Elements
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Distributivity like Results in the Medieval Traditions of Euclid s Elements
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Author | : Leo Corry |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2021 |
Genre | : Electronic Book |
ISBN | : 3030796809 |
Download Distributivity like Results in the Medieval Traditions of Euclid s Elements Book in PDF, Epub and Kindle
This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.
Distributivity like Results in the Medieval Traditions of Euclid s Elements
Author | : Leo Corry |
Publsiher | : Springer Nature |
Total Pages | : 88 |
Release | : 2021-11-19 |
Genre | : Science |
ISBN | : 9783030796792 |
Download Distributivity like Results in the Medieval Traditions of Euclid s Elements Book in PDF, Epub and Kindle
This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.
British Versions of Book II of Euclid s Elements Geometry Arithmetic Algebra 1550 1750
Author | : Leo Corry |
Publsiher | : Springer Nature |
Total Pages | : 79 |
Release | : 2022-09-12 |
Genre | : Science |
ISBN | : 9783031115387 |
Download British Versions of Book II of Euclid s Elements Geometry Arithmetic Algebra 1550 1750 Book in PDF, Epub and Kindle
This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.
Alfonso s Rectifying the Curved
Author | : Ruth Glasner,Avinoam Baraness |
Publsiher | : Springer Nature |
Total Pages | : 293 |
Release | : 2020-11-26 |
Genre | : Mathematics |
ISBN | : 9783319773032 |
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This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry. The book is a mixture of two genres: philosophical discussion and formal, Euclidean-type geometrical writing. A central issue is the use of motion and superposition in geometry, which is analyzed in depth through dialog with earlier Arab mathematicians. The author, Alfonso, was identified by Gita Gluskina (the editor of the 1983 Russian edition) as Alfonso of Valladolid, the converted Jew Abner of Burgos. Alfonso lived in Castile, rather far from the leading cultural centers of his time, but nonetheless at the crossroad of three cultures. He was raised in the Jewish tradition and like many Sephardic Jewish intellectuals was versed in Greek-Arabic philosophy and science. He also had connections with some Christian nobles and towards the end of his life converted to Christianity. Driven by his ambition to solve the problem of the quadrature of the circle, as well as other open geometrical problems, Alfonso acquired surprisingly wide knowledge and became familiar with several episodes in Greek and Arabic geometry that historians usually consider not to have been known in the West in the fourteenth century. Sefer Meyasher 'Aqov reflects his wide and deep erudition in mathematics and philosophy, and provides new evidence on cultural transmission around the Mediterranean.
Book of Proof
Author | : Richard H. Hammack |
Publsiher | : Unknown |
Total Pages | : 314 |
Release | : 2016-01-01 |
Genre | : Mathematics |
ISBN | : 0989472116 |
Download Book of Proof Book in PDF, Epub and Kindle
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Mathematical Reviews
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 772 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : UOM:39015026169691 |
Download Mathematical Reviews Book in PDF, Epub and Kindle
Geometry Euclid and Beyond
Author | : Robin Hartshorne |
Publsiher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 9780387226767 |
Download Geometry Euclid and Beyond Book in PDF, Epub and Kindle
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.
Proofs from THE BOOK
Author | : Martin Aigner,Günter M. Ziegler |
Publsiher | : Springer Science & Business Media |
Total Pages | : 194 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9783662223437 |
Download Proofs from THE BOOK Book in PDF, Epub and Kindle
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.