The Arithmetica Of Diophantus
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The Arithmetica Of Diophantus
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Author : Jean Christianidis
language : en
Publisher: Taylor & Francis
Release Date : 2022-11-01
The Arithmetica Of Diophantus written by Jean Christianidis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with History categories.
This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary. Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought. The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.
Books Iv To Vii Of Diophantus Arithmetica
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Author : Jacques Sesiano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Books Iv To Vii Of Diophantus Arithmetica written by Jacques Sesiano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.
Diophantus Of Alexandria
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Author : Thomas L. Heath
language : en
Publisher: CUP Archive
Release Date : 1910
Diophantus Of Alexandria written by Thomas L. Heath and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1910 with Algebra categories.
Books Iv To Vii Of Diophantus Arithmetica
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Author : Jacques Sesiano
language : en
Publisher:
Release Date : 1982-11-17
Books Iv To Vii Of Diophantus Arithmetica written by Jacques Sesiano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-11-17 with categories.
Diophantus And Diophantine Equations
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Author : Isabella Grigoryevna Bashmakova
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-29
Diophantus And Diophantine Equations written by Isabella Grigoryevna Bashmakova and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-29 with Mathematics categories.
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus--a person whose very existence has long been doubted by most historians of mathematics--will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the.
Books Iv To Vii Of Diophantus Arithmetica In The Arabic Translation Attributed To Qus Ibn L Q
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Author : Jacques Sesiano
language : en
Publisher:
Release Date : 1982-01-01
Books Iv To Vii Of Diophantus Arithmetica In The Arabic Translation Attributed To Qus Ibn L Q written by Jacques Sesiano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Mathematics, Arab categories.
Diophantus Of Alexandria A Study In The History Of Greek Algebra
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Author : Sir Thomas L. Heath
language : en
Publisher: Heath Press
Release Date : 2008-11
Diophantus Of Alexandria A Study In The History Of Greek Algebra written by Sir Thomas L. Heath and has been published by Heath Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11 with History categories.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 Excerpt: ...earth. r' = radius of moon, or other body. P = moon's horizontal parallax = earth's angular semidiameter as seen from the moon. f = moon's angular semidiameter. Now = P (in circular measure), r'-r = r (in circular measure);.'. r: r':: P: P', or (radius of earth): (radios of moon):: (moon's parallax): (moon's semidiameter). Examples. 1. Taking the moon's horizontal parallax as 57', and its angular diameter as 32', find its radius in miles, assuming the earth's radius to be 4000 miles. Here moon's semidiameter = 16';.-. 4000::: 57': 16';.-. r = 400 16 = 1123 miles. 2. The sun's horizontal parallax being 8"8, and his angular diameter 32V find his diameter in miles. ' Am. 872,727 miles. 3. The synodic period of Venus being 584 days, find the angle gained in each minute of time on the earth round the sun as centre. Am. l"-54 per minute. 4. Find the angular velocity with which Venus crosses the sun's disc, assuming the distances of Venus and the earth from the sun are as 7 to 10, as given by Bode's Law. Since (fig. 50) S V: VA:: 7: 3. But Srhas a relative angular velocity round the sun of l"-54 per minute (see Example 3); therefore, the relative angular velocity of A V round A is greater than this in the ratio of 7: 3, which gives an approximate result of 3"-6 per minute, the true rate being about 4" per minute. Annual ParaUax. 95. We have already seen that no displacement of the observer due to a change of position on the earth's surface could apparently affect the direction of a fixed star. However, as the earth in its annual motion describes an orbit of about 92 million miles radius round the sun, the different positions in space from which an observer views the fixed stars from time to time throughout the year must be separated ...
Critical Mathematics Education
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Author : Paul Ernest
language : en
Publisher: IAP
Release Date : 2016-01-01
Critical Mathematics Education written by Paul Ernest and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-01 with Education categories.
Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.
An Introduction To Diophantine Equations
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-02
An Introduction To Diophantine Equations written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-02 with Mathematics categories.
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Diophantus Of Alexandria A Study In The History Of Greek Algebra
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Author : Sir Thomas Little Heath
language : en
Publisher:
Release Date : 1910
Diophantus Of Alexandria A Study In The History Of Greek Algebra written by Sir Thomas Little Heath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1910 with Fermat's theorem categories.