The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time; There are few extant Arabic texts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later). Since the three main manuscripts preserving it are incomplete and there are many scribal errors, a reliable Latin text has been established, which reports (in notes) the various readings of the manuscripts and the errors in them. This is how a so-called critical edition is made. This edition of the Latin text is preceded by General Introduction, describing the various manuscripts, the content of the work and what we know about its author. Part Two of the volume is a translation of the text and ends with a glossary of Latin terms. The glossary will be of great importance for the knowledge of Latin scientific terms from that time, since there is no other mathematical text of this size from the 12th century. Part Three begins with a short introduction and then analyzes all the problems from the text, with a summary of the mathematical methods involved in each chapter. The commentary is a companion to the translation and explains the author's solving methods.

This collection of Charles Burnett's articles on the transmission of Arabic learning to Europe concentrates on the identity of the Latin translators and the context in which they were working. The articles are arranged in roughly chronological order, beginning with the earliest known translations from Arabic at the end of the 10th century, progressing through 11th-century translations made in Southern Italy, translators working in Sicily and the Principality of Antioch at the beginning of the 12th century, the first of the 12th-century Iberian translators, the beginnings and development of 'professional' translation activity in Toledo, and the transfer of this activity from Toledo to Frederick II's entourage in the 13th century. Most of the articles include editions of texts that either illustrate the style and character of the translator or provide the source material for his biobibliography.

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.

This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

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.

This Third Edition is the first English-language edition of the award-winning Meilensteine der Rechentechnik; illustrated in full color throughout in two volumes. The Third Edition is devoted to both analog and digital computing devices, as well as the world's most magnificient historical automatons and select scientific instruments (employed in astronomy, surveying, time measurement, etc.). It also features detailed instructions for analog and digital mechanical calculating machines and instruments, and is the only such historical book with comprehensive technical glossaries of terms not found in print or in online dictionaries. The book also includes a very extensive bibliography based on the literature of numerous countries around the world. Meticulously researched, the author conducted a worldwide survey of science, technology and art museums with their main holdings of analog and digital calculating and computing machines and devices, historical automatons and selected scientific instruments in order to describe a broad range of masterful technical achievements. Also covering the history of mathematics and computer science, this work documents the cultural heritage of technology as well.

The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.

The remarkable extension in depth and width of Muslim intellectual life can be fathomed and measured only against the background of what went on immediately before, and simultaneously elsewhere, or it will remain, in any real sense, unexplored." This statement by the late Franz Rosenthal is, in a sense, the red thread of the present volume which unites 35 articles by renowned scholars of Islamic Studies, Middle Eastern Languages and Civilizations, and various allied fields of research in honour of a scholar congenial to Franz Rosenthal and exemplary in his scientific carefulness and integrity: Dr Gerhard Endress, Professor of Oriental Philology and Islamic Studies at the Ruhr University Bochum. Central topics of the contributions include Arabic philosophy and its Greek sources and Latin reception, the history and historiography of Arabic-Islamic science, and Islamic concepts of language, knowledge, science and pedagogy. Other articles deal with qur'anic studies, Arabic lexicography and linguistics, the history of Middle Eastern civilizations, the medieval translation movements from Greek into Arabic and from Arabic into Latin as well as with political and eschatological theories of medieval Islam. Rooted in different scientific traditions and methodological approaches the studies collected in this Festschrift form a vivid and stimulating synopsis of more than 1000 years of Middle Eastern and Mediterranean intellectual, social and cultural history.

The main reference source for questions of Islamic philosophy, science, and technology amongst Western engaged readers and academics in general and legal researchers in particular.