sourcebook in the mathematics of medieval europe and north africa

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Sourcebook In The Mathematics Of Medieval Europe And North Africa

Author : Victor J. Katz
ISBN : 9781400883202
Genre : Mathematics
File Size : 54. 76 MB
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Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Making And Breaking Mathematical Sense

Author : Roi Wagner
ISBN : 9781400883783
Genre : Mathematics
File Size : 34. 54 MB
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In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.

The Mathematics Of Egypt Mesopotamia China India And Islam

Author : Victor J. Katz
ISBN : 0691114854
Genre : Mathematics
File Size : 36. 94 MB
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In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Women S Lives In Medieval Europe

Author : Emilie Amt
ISBN : 9781136742774
Genre : History
File Size : 25. 54 MB
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First Published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.

The Oxford Handbook Of Women And Gender In Medieval Europe

Author : Judith M. Bennett
ISBN : 9780191667305
Genre : History
File Size : 56. 29 MB
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The Oxford Handbook of Women and Gender in Medieval Europe provides a comprehensive overview of the gender rules encountered in Europe in the period between approximately 500 and 1500 C.E. The essays collected in this volume speak to interpretative challenges common to all fields of women's and gender history - that is, how best to uncover the experiences of ordinary people from archives formed mainly by and about elite males, and how to combine social histories of lived experiences with cultural histories of gendered discourses and identities. The collection focuses on Western Europe in the Middle Ages but offers some consideration of medieval Islam and Byzantium. The Handbook is structured into seven sections: Christian, Jewish, and Muslim thought; law in theory and practice; domestic life and material culture; labour, land, and economy; bodies and sexualities; gender and holiness; and the interplay of continuity and change throughout the medieval period. It contains material from some of the foremost scholars in this field, and it not only serves as the major reference text in medieval and gender studies, but also provides an agenda for future new research.

40 Days Of Dating

Author : Jessica Walsh
ISBN : 9781613127155
Genre : Self-Help
File Size : 52. 4 MB
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When New York–based graphic designers and long-time friends Timothy Goodman and Jessica Walsh found themselves single at the same time, they decided to try an experiment. The old adage says that it takes 40 days to change a habit—could the same be said for love? So they agreed to date each other for 40 days, record their experiences in questionnaires, photographs, videos, texts, and artworks, and post the material on a website they would create for this purpose. What began as a small experiment between two friends became an Internet sensation, drawing 5 million unique (and obsessed) visitors from around the globe to their site and their story since it was launched in July 2013. 40 Days of Dating: An Experiment is a beautifully designed, expanded look at the experiment and the results, including a great deal of material that never made it onto the site, such as who they were as friends and individuals before the 40 days and who they have become since. Note: 40 Days of Dating has a special binding that allows it to open very flat by attaching the endpapers to the inside covers.

The Crest Of The Peacock

Author : George Gheverghese Joseph
ISBN : 0691135266
Genre : Mathematics
File Size : 49. 68 MB
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"Enthralling ... After reading it, we cannot see the past in the same comforting haze of age-old stories, faithfully and uncritically retold from teacher to pupil down the years ... Invaluable for mathematics teachers at all levels."--New Scientist.

Medieval Islamic Maps

Author : Karen C. Pinto
ISBN : 9780226126968
Genre : Reference
File Size : 73. 98 MB
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Hundreds of exceptional cartographic images are scattered throughout medieval and early modern Arabic, Persian, and Turkish manuscript collections. The plethora of copies created around the Islamic world over the course of eight centuries testifies to the enduring importance of these medieval visions for the Muslim cartographic imagination. With Medieval Islamic Maps, historian Karen C. Pinto brings us the first in-depth exploration of medieval Islamic cartography from the mid-tenth to the nineteenth century. Pinto focuses on the distinct tradition of maps known collectively as the Book of Roads and Kingdoms (Kitab al-Masalik wa al-Mamalik, or KMMS), examining them from three distinct angles--iconography, context, and patronage. She untangles the history of the KMMS maps, traces their inception and evolution, and analyzes them to reveal the identities of their creators, painters, and patrons, as well as the vivid realities of the social and physical world they depicted. In doing so, Pinto develops innovative techniques for approaching the visual record of Islamic history, explores how medieval Muslims perceived themselves and their world, and brings Middle Eastern maps into the forefront of the study of the history of cartography.

Travels In Asia And Africa

Author : Ibn Battuta
ISBN : 9781134285631
Genre : History
File Size : 85. 85 MB
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'One of the most fascinating travel books of all time' Times Literary Supplement 'He could not have been more 'modern' if he had been born in the twentieth century' Evening Standard Ibn Battuta was the only medieval traveller who is known to have visited the lands of every Muhammadan ruler of his time and the extent of his journeys is estimated to be at least 75,000 miles. His work presents a descriptive account of Muhammadan society in the second quarter of the fourteenth century, which illustrates, among other things, how wide the sphere of influence of the Muslim merchants was. Ibn Battuta's interest in places was subordinate to his interest in people and his geographical knowledge was gained entirely from personal experience. For his details he relied exclusively on his memory, cultivated by the system of a theological education. This edition, translated afresh from the Arabic text, provides extensive notes which enable the journeys to be followed in detail. Important historical and religious background to the Travels is also added by H. A. R. Gibb.

Mathematics In Ancient Iraq

Author : Eleanor Robson
ISBN : 069109182X
Genre : History
File Size : 55. 59 MB
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"This work is an enormously significant contribution to the history of mathematics. No other work surveys the vast landscape of Mesopotamian mathematics from a position of the modern understanding of the past, incorporating the latest scholarship and yet still managing to be so accessible to nonspecialists. Robson's book is an outstanding guide that can be consulted by anyone interested in the field."--Duncan J. Melville, St. Lawrence University "A very significant contribution to the history of ancient mathematics, and to the history of mathematics in general. I anticipate this book will be very, very useful to readers outside the field and general readers, because it is very clearly and incisively written, it gives clear indications about where to find the primary sources, and it summarizes previous historiography very effectively. There is no comparable book."--Serafina Cuomo, Birkbeck College, London "A truly exciting and highly readable intellectual history of ancient Iraq. Eleanor Robson's "Mathematics in Ancient Iraq" is destined to become a classic. The book will have a wide readership among people interested in Near Eastern archaeology, the origins of writing, the history of education, and the history of science. This is truly a magnificent read."--Gary Urton, Harvard University "This is a wholly original work, the first to integrate all the recent work from the history of mathematics in this area with archaeological scholarship. The result is a remarkably rich portrayal of mathematics in ancient Iraq. The breadth of coverage is striking, both in chronological terms but also in broad intellectual ones. The book is very well written and handsomely illustrated."--Jeremy Gray, The Open University

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