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.

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Download or read book Using German Vocabulary written by Sarah M. B. Fagan and published by Cambridge University Press. This book was released on 2004-05-27 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive and thematically structured vocabulary for students of German. Designed for all but the very beginning levels of undergraduate study, it offers a broad range of vocabulary, and is divided into 20 manageable units dealing with the physical, social, cultural, economic, and political world. The word lists are graded into three levels that reflect difficulty and likely usefulness, and are accompanied by extensive exercises and activities, designed to reinforce work done with the lists, and to increase students' competence in using the vocabulary. Suitable for both classroom teaching and private study, the exercises also make use of authentic German texts, enabling students to work with the vocabulary in context. Clearly organized and accessible, Using German Vocabulary is designed to meet the needs of a variety of courses at multiple stages of any undergraduate programme.

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Download or read book The Devil s Highway written by Luis Alberto Urrea and published by Back Bay Books. This book was released on 2008-11-16 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book from a Pulitzer Prize finalist follows the brutal journey a group of men take to cross the Mexican border: "the single most compelling, lucid, and lyrical contemporary account of the absurdity of U.S. border policy" (The Atlantic). In May 2001, a group of men attempted to cross the Mexican border into the desert of southern Arizona, through the deadliest region of the continent, the "Devil's Highway." Three years later, Luis Alberto Urrea wrote about what happened to them. The result was a national bestseller, a Pulitzer Prize finalist, a "book of the year" in multiple newspapers, and a work proclaimed as a modern American classic.

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Download or read book Mathematical Methods for Economic Theory 2 written by James C. Moore and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces

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