Books Iv To Vii Of Diophantus Arithmetica
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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.
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.
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.
Dictionary Of World Biography
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Author : Frank Northen Magill
language : en
Publisher: Taylor & Francis
Release Date : 2003-01-23
Dictionary Of World Biography written by Frank Northen Magill and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-23 with Biography categories.
Containing 250 entries, each volume of theDictionary of World Biographycontains examines the lives of the individuals who shaped their times and left their mark on world history. Much more than a 'Who's Who', each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements, and conclude with a fully annotated bibliography. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. Any student in the field will want to have one of these as a handy reference companion.
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.
Ancient Mathematics
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Author : Dietmar Herrmann
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Ancient Mathematics written by Dietmar Herrmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. Numerous illustrations and the inclusion of the cultural, political and literary environment provide a great spectrum of the history of mathematical science and a real treasure trove for those seeking biographical and contemporary background knowledge or suggestions for lessons or lectures. The presentation is up-to-date and realizes tendencies of recent historiography. In the new edition, the central chapters on Plato, Aristotle and Alexandria have been updated. The explanations of Greek calculus, mathematical geography and mathematics of the early Middle Ages have been expanded and show new points of view. A completely new addition is a unique illustrated account of Roman mathematics. Also newly included are several color illustrations that successfully illustrate the book's subject matter. With more than 280 images, this volume represents a richly illustrated history book on ancient mathematics.
The Ancient World
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Author : Frank N. Magill
language : en
Publisher: Routledge
Release Date : 2003-12-16
The Ancient World written by Frank N. Magill and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-16 with Reference categories.
Containing 250 entries, each volume of the Dictionary of World Biography contains examines the lives of the individuals who shaped their times and left their mark on world history. Much more than a 'Who's Who', each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements, and conclude with a fully annotated bibliography. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. Any student in the field will want to have one of these as a handy reference companion.
Mathematics A Concise History And Philosophy
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Author : W.S. Anglin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics A Concise History And Philosophy written by W.S. Anglin 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 Science categories.
This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
An Illustrated Theory Of Numbers
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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15
An Illustrated Theory Of Numbers written by Martin H. Weissman 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 2020-09-15 with Education categories.
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
An Introduction To The History Of Algebra
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Author : Jacques Sesiano
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
An Introduction To The History Of Algebra written by Jacques Sesiano 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 2009 with Mathematics categories.
Offers a basic introduction to the types of problems that illustrate the earliest forms of algebra. This book presents some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system. It analyzes various examples of problems, with their typical solution methods.