Episodes in the Mathematics of Medieval Islam PDF Download

Author: J.L. Berggren
Publisher: Springer
ISBN: 1493937804
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.

Author: Mohaini Mohamed
Publisher: Penerbit UTM
ISBN: 9789835201578
Category : Islamic civilization
Languages : en
Pages : 192

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Book Description
This book presents detailed accounts and analysis of the lives and world view of selected mathematicians of the Islamic period, their place in the world of science, the popularization of their lives, and their contributions specifically in mathematics and astronomy.

Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592

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Book Description
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.

Author: Teun Koetsier
Publisher: Elsevier
ISBN: 0080457355
Category : Mathematics
Languages : en
Pages : 716

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Book Description
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ?The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history.·Mathematics and man's quest for the Absolute·A selective history highlighting key figures, schools and trains of thought ·An international team of historians presenting specific new findings as well as general overviews·Confronting and uniting otherwise compartmentalized information

Author: F. Jamil Ragep
Publisher: BRILL
ISBN: 9789004101197
Category : Science
Languages : en
Pages : 634

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Book Description
In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.

Author: Nuh Aydin
Publisher: Springer
ISBN: 3030149501
Category : Mathematics
Languages : en
Pages : 246

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Book Description
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This book begins a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, it changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(10) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. The authenticity of this translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.

Author: Josef W. Meri
Publisher: Routledge
ISBN: 1135456038
Category : History
Languages : en
Pages : 980

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Book Description
Medieval Islamic Civilization examines the socio-cultural history of the regions where Islam took hold between the seventh and sixteenth century. This important two-volume work contains over 700 alphabetically arranged entries, contributed and signed by international scholars and experts in fields such as Arabic languages, Arabic literature, architecture, art history, history, history of science, Islamic arts, Islamic studies, Middle Eastern studies, Near Eastern studies, politics, religion, Semitic studies, theology, and more. This reference provides an exhaustive and vivid portrait of Islamic civilization including the many scientific, artistic, and religious developments as well as all aspects of daily life and culture. For a full list of entries, contributors, and more, visit www.routledge-ny.com/middleages/Islamic.

Author: Stephen O'Shea
Publisher: Bloomsbury Publishing USA
ISBN: 0802718426
Category : History
Languages : en
Pages : 430

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Book Description
In Sea of Faith, O'Shea chronicles both the meeting of minds and the collisions of armies that marked the interaction of Cross and Crescent in the Middle Ages-the better to understand their apparently intractable conflict today. For all the great and everlasting moments of cultural interchange and tolerance-in Cordoba, Palermo, Constantinople-the ultimate "geography of belief " was decided on the battlefield. O'Shea vividly recounts seven pivotal battles between the forces of Christianity and Islam that shaped the Mediterranean world-from the loss of the Christian Middle East to the Muslims at Yarmuk (Turkey) in 636 to the stemming of the seemingly unstoppable Ottoman tide at Malta in 1565. In between, the battles raged round the Mediterranean, from Poitiers in France and Hattin in the Holy Land during the height of the Crusades, to the famed contest for Constantinople in 1453 that signaled the end of Byzantium. As much as the armies were motivated by belief, their exploits were inspired by leaders such as Charles Martel, Saladin, and Mehmet II, whose stirring feats were sometimes accompanied by unexpected changes of heart.

Author: Frank Anthony Carl Mantello
Publisher: CUA Press
ISBN: 9780813208428
Category : Foreign Language Study
Languages : en
Pages : 796

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Book Description
Organized with the assistance of an international advisory committee of medievalists from several disciplines, Medieval Latin: An Introduction and Bibliographical Guide is a new standard guide to the Latin language and literature of the period from c. A.D. 200 to 1500. It promises to be indispensable as a handbook in university courses in Medieval Latin and as a point of departure for the study of Latin texts and documents in any of the fields of medieval studies. Comprehensive in scope, the guide provides introductions to, and bibliographic orientations in, all the main areas of Medieval Latin language, literature, and scholarship. Part One consists of an introduction and sizable listing of general print and electronic reference and research tools. Part Two focuses on issues of language, with introductions to such topics as Biblical and Christian Latin, and Medieval Latin pronunciation, orthography, morphology and syntax, word formation and lexicography, metrics, prose styles, and so on. There are chapters on the Latin used in administration, law, music, commerce, the liturgy, theology and philosophy, science and technology, and daily life. Part Three offers a systematic overview of Medieval Latin literature, with introductions to a wide range of genres and to translations from and into Latin. Each chapter concludes with a bibliography of fundamental works--texts, lexica, studies, and research aids. This guide satisfies a long-standing need for a reference tool in English that focuses on medieval latinity in all its specialized aspects. It will be welcomed by students, teachers, professional latinists, medievalists, humanists, and general readers interested in the role of Latin as the learned lingua franca of western Europe. It may also prove valuable to reference librarians assembling collections concerned with Latin authors and texts of the postclassical period. ABOUT THE EDITORS F. A. C. Mantello is professor of Medieval Latin at The Catholic University of America. A. G. Rigg is professor of English and medieval studies and chairman of the Medieval Latin Committee at the University of Toronto's Centre for Medieval Studies. PRASIE FOR THE BOOK "This extraordinary volume, joint effort of dozens of scholars in eight countries, will be in constant use for research, for advising students and designing courses, and for answering the queries of nonmedievalist colleagues. . . . Medieval Latin provides a foundation for advances in research and teaching on a wide front. . . . Though Mantello and Rigg's Medieval Latin is a superb reference volume, I recommend that it also be read from beginning to end--in small increments, of course. The rewards will be sheaves of notes and an immensely enriched appreciation of Medieval Latin and its literature."--Janet M. Martin, Princeton University, Speculum "A remarkable achievement, and no one interested in medieval Latin can afford to be without it."--Journal of Ecclesiastical History "Everywhere there is clarity, conclusion, judicious illustration, and careful selection of what is central. This guide is a major achievement and will serve Medieval Latin studies extremely well for the foreseeable future."--The Classical Review

Author: Frank J. Swetz
Publisher: Walch Publishing
ISBN: 9780825122644
Category : Education
Languages : en
Pages : 282

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Book Description
Biographies of 23 important mathematicians span many centuries and cultures. Historical Learning Tasks provide 21 in-depth treatments of a variety of historical problems.