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Author: Farghānī
Publisher: Franz Steiner Verlag
ISBN: 9783515087131
Category : Nature
Languages : en
Pages : 464
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Book Description
In the Middle Ages the astrolabe was the best known and most widely used astronomical instrument both in the Islamic world and in the West. The oldest extant description of the construction of this instrument was written by the well-known Arabic astronomer al-Farghani (Baghdad, ca. 856). His treatise is especially valuable because of the tables it contains to enable an artificer to draw the various circles and arcs on the instrument. The Arabic text of this work, including the tables, is presented here for the first time in a critical edition, accompanied by an English translation and a commentary reproducing al-Farghani's reasoning in modern mathematical notation.
Author: Farghānī
Publisher: Franz Steiner Verlag
ISBN: 9783515087131
Category : Nature
Languages : en
Pages : 464
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Book Description
In the Middle Ages the astrolabe was the best known and most widely used astronomical instrument both in the Islamic world and in the West. The oldest extant description of the construction of this instrument was written by the well-known Arabic astronomer al-Farghani (Baghdad, ca. 856). His treatise is especially valuable because of the tables it contains to enable an artificer to draw the various circles and arcs on the instrument. The Arabic text of this work, including the tables, is presented here for the first time in a critical edition, accompanied by an English translation and a commentary reproducing al-Farghani's reasoning in modern mathematical notation.
Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355
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Book Description
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.
Author: Susan Janssen Creighton
Publisher: Corwin Press
ISBN: 1483385965
Category : Education
Languages : en
Pages : 222
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Book Description
Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. "This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books." Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA "The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics." Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX
Author: Roshdi Rashed
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110569876
Category : Philosophy
Languages : en
Pages : 853
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Book Description
Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.
Author: Faith Wallis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110467305
Category : Religion
Languages : en
Pages : 224
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Book Description
Understanding how medieval textual cultures engaged with the heritage of antiquity (transmission and translation) depends on recognizing that reception is a creative cultural act (transformation). These essays focus on the people, societies and institutions who were doing the transmitting, translating, and transforming -- the "agents". The subject matter ranges from medicine to astronomy, literature to magic, while the cultural context encompasses Islamic and Jewish societies, as well as Byzantium and the Latin West. What unites these studies is their attention to the methodological and conceptual challenges of thinking about agency. Not every agent acted with an agenda, and agenda were sometimes driven by immediate needs or religious considerations that while compelling to the actors, are more opaque to us. What does it mean to say that a text becomes “available” for transmission or translation? And why do some texts, once transmitted, fail to thrive in their new milieu? This collection thus points toward a more sophisticated “ecology” of transmission, where not only individuals and teams of individuals, but also social spaces and local cultures, act as the agents of cultural creativity.
Author: John North
Publisher: A&C Black
ISBN: 1852855711
Category : Science
Languages : en
Pages : 462
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Book Description
Clocks became common in late medieval Europe and the measurement of time began to rule everyday life. God's Clockmaker is a biography of England's greatest medieval scientist, a man who solved major practical and theoretical problems to build an extraordinary and pioneering astronomical and astrological clock. Richard of Wallingford (1292-1336), the son of a blacksmith, was a brilliant mathematician with a genius for the practical solution of technical problems. Trained at Oxford, he became a monk and then abbot of the great abbey of St Albans, where he built his clock. Although as abbot he held great power, he was also a tragic figure, becoming a leper. His achievement, nevertheless, is a striking example of the sophistication of medieval science, based on knowledge handed down from the Greeks via the Arabs.
Author: Michalis Sialaros
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110565277
Category : History
Languages : en
Pages : 446
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Book Description
This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical ‘revolutions’ and ‘continuity’. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn’s ideas on ‘scientific revolutions’ to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on ‘geometrical algebra’ and ‘premodern algebra’, the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of ‘continuity’ between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle.
Author: International Monetary Fund. African Dept.
Publisher: International Monetary Fund
ISBN: 1513567578
Category : Business & Economics
Languages : en
Pages : 73
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Book Description
This 2015 Article IV Consultation highlights that Togo’s economic growth has remained strong in recent years, averaging 5.4 percent in 2013–14, on the back of productivity gains in the agricultural sector and public investment in transport infrastructure. The fast pace of public investment has laid the basis for higher growth but has also contributed to a pronounced increase in public debt and current account deficit. Output growth is expected to be sustained over the medium term, although current account and debt pressures are unlikely to abate. Growth is expected to average 5.5 percent in 2015–18, supported by agricultural production, transportation services linked to international trade, and the impact of investments in transport infrastructure.
Author: Lawrence Laurenson Bruff
Publisher:
ISBN:
Category : Gunnery
Languages : en
Pages : 714
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Book Description
Author: Robert M. Grant
Publisher: John Wiley & Sons
ISBN: 1119120837
Category : Business & Economics
Languages : en
Pages : 480
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Book Description
Robert M. Grant combines a highly accessible writing style with a concentration on the fundamentals of value creation and an emphasis on practicality in this leading strategy text. In this new edition several topics have increased emphasis including: platform-based competition and 'ecosystems' of related industries; the role of strategy making processes/practices; mergers, acquisitions and alliances; and additional emphasis on strategy implementation.
