Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Episodes in the Mathematics of Medieval Islam written by J.L. Berggren and published by Springer. This book was released on 2017-01-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Leonard of Pisa and the New Mathematics of the Middle Ages written by Joseph Gies and published by New Classics Library. This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wonderful book about Leonardo Fibonacci's rediscovery of the Golden Ratio in the 13th century. Includes explanations of the Golden Rectangle, the Golden Spiral, and Fibonacci's own math problems (with solutions).
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Routledge. This book was released on 2006 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.
Download or read book Essays on Early Medieval Mathematics written by Menso Folkerts and published by Taylor & Francis. This book was released on 2023-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Taylor & Francis. This book was released on 2024-10-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Download or read book Mathematics and the Medieval Ancestry of Physics written by George Molland and published by Taylor & Francis. This book was released on 2024-10-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this volume lies in the medieval consciousness of mathematics, and the variety of strategies adopted to apply it in other areas, notably natural philosophy. In diachromic terms, Dr Molland considers ways in which ancient mathematics (particularly geometry) was assimilated in the Middle Ages, and how it was radically transformed in the 17th century, especially by Descartes. A pervasive concern is with ideas of scientific progress: the author argues that medieval commentatorial and disputational modes encouraged probing attitudes to existing knowledge, aimed at deepening individual understanding, rather than more aggressive endeavours to advance public knowledge characteristic of later periods. What brought about this change is the subject of several studies here; others form more specifically on individual scholars, in particular the important figure of Roger Bacon.
Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-10-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Music and the Stars written by Mary Kelly and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: International experts introduce and explore the history of mathematics in medieval Ireland - its reception, philosophy and the contribution made by Irish scholars to the development of science in Ireland and Western Europe.--
Download or read book Math Through the Ages written by William P. Berlinghoff and published by MAA. This book was released on 2004-09-09 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and accessible overview of the history of mathematics.
Download or read book The Mathematics of Egypt Mesopotamia China India and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2007-08-05 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 1987-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.
Download or read book Classical Mathematics from Al Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.
Download or read book Math through the Ages A Gentle History for Teachers and Others Expanded Second Edition written by William P. Berlinghoff and published by American Mathematical Soc.. This book was released on 2021-04-29 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
Download or read book Stars and Numbers written by Paul Kunitzsch and published by Taylor & Francis. This book was released on 2022-04-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The studies brought together in this second collection of articles by Paul Kunitzsch continue the lines of research evident in his previous volume (The Arabs and the Stars). The Arabic materials discussed stem mostly from the early period of the development of Arabic-Islamic astronomy up to about 1000AD, while the Latin materials belong to the first stage of Western contact with Arabic science at the end of the 10th century, and to the peak of Arabic-Latin translation activity in 12th century Spain. The first set of articles focuses upon Ptolemy in the Arabic-Latin tradition, followed by further ones on Arabic astronomy and its reception in the West; the final group looks at details of the transmission of Euclid's Elements.
Download or read book Distributivity like Results in the Medieval Traditions of Euclid s Elements written by Leo Corry and published by Springer. This book was released on 2021-11-20 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book History of Mathematics General survey of the history of elementary mathematics written by David Eugene Smith and published by . This book was released on 1923 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
