New Mathematical Cuneiform Texts

Author: Jöran Friberg
Publisher: Springer
ISBN: 9783319445977
Release Date: 2017-02-13
Genre: Mathematics

This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere.

Looking at it from Asia the Processes that Shaped the Sources of History of Science

Author: Florence Bretelle-Establet
Publisher: Springer Science & Business Media
ISBN: 9048136768
Release Date: 2010-06-16
Genre: Science

How do Documents Become Sources? Perspectives from Asia and Science Florence Bretelle-Establet From Documents to Sources in Historiography The present volume develops a specific type of critical analysis of the written documents that have become historians’ sources. For reasons that will be explained later, the history of science in Asia has been taken as a framework. However, the issue addressed is general in scope. It emerged from reflections on a problem that may seem common to historians: why, among the huge mass of written documents available to historians, some have been well studied while others have been dismissed or ignored? The question of historical sources and their (unequal) use in historiography is not new. Which documents have been used and favored as historical sources by historians has been a key historiographical issue that has occupied a large space in the historical production of the last four decades, in France at least.

Handbook on the History of Mathematics Education

Author: Alexander Karp
Publisher: Springer Science & Business Media
ISBN: 9781461491552
Release Date: 2014-01-25
Genre: Mathematics

This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Das geistige Erfassen der Welt im Alten Orient

Author: Joost Hazenbos
Publisher: Otto Harrassowitz Verlag
ISBN: 3447055189
Release Date: 2007
Genre: History

Der 150. Geburtstag von Friedrich Delitzsch, der 1874 in Leipzig die deutsche Assyriologie (Altorientalistik) begrundete, und weitere Leipziger altorientalistische Jubilaen werden zum Anlass genommen, unter dem Thema "Das geistige Erfassen der Welt im Alten Orient" die Vergangenheit, Gegenwart und Zukunft des Faches zu diskutieren. 16 Nachfahren der hochgeruhmten "Leipziger Schule" werfen einen kritischen Blick auf die Anfange ihres Faches in Leipzig, auf Fragestellungen und Methoden, auf die Konzentration auf Sprachen und ihre Bausteine, auf Heinrich Zimmerns Zugang zur Erschliessung "der" babylonischen Religion und auf Benno Landsbergers Konzept der "EigenbegriffIichkeit der babylonischen Welt." Exemplarisch wird mit konkreten Untersuchungen zu Sprache, Religion, Gesellschaft und Politik, Recht und Wirtschaft und antiker Mathematik ins 21. Jahrhundert geschaut und das Selbstverstandnis des Faches reflektiert.

A Remarkable Collection of Babylonian Mathematical Texts

Author: Jöran Friberg
Publisher: Springer Science & Business Media
ISBN: 9780387345437
Release Date: 2007-07-31
Genre: Mathematics

The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.

Babylonian Mathematical Astronomy Procedure Texts

Author: Mathieu Ossendrijver
Publisher: Springer Science & Business Media
ISBN: 9781461437826
Release Date: 2012-04-24
Genre: Mathematics

This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.

The Oxford Handbook of the History of Mathematics

Author: Eleanor Robson
Publisher: OUP Oxford
ISBN: 9780191607448
Release Date: 2008-12-18
Genre: Mathematics

This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.

SCIAMVS

Author:
Publisher:
ISBN: STANFORD:36105123080546
Release Date: 2004
Genre: Science

Publishes source materials for historical research on the exact sciences in Antiquity and the Middle Ages in original languages, with translations, notes, and commentaries.

Mathematical Tablets from Tell Harmal

Author: Carlos Gonçalves
Publisher: Springer
ISBN: 9783319225241
Release Date: 2015-11-13
Genre: Mathematics

This work offers a re-edition of twelve mathematical tablets from the site of Tell Harmal, in the borders of present-day Baghdad. In ancient times, Tell Harmal was Šaduppûm, a city representative of the region of the Diyala river and of the kingdom of Ešnunna, to which it belonged for a time. These twelve tablets were originally published in separate articles in the beginning of the 1950s and mostly contain solved problem texts. Some of the problems deal with abstract matters such as triangles and rectangles with no reference to daily life, while others are stated in explicitly empirical contexts, such as the transportation of a load of bricks, the size of a vessel, the number of men needed to build a wall and the acquisition of oil and lard. This new edition of the texts is the first to group them, and takes into account all the recent developments of the research in the history of Mesopotamian mathematics. Its introductory chapters are directed to readers interested in an overview of the mathematical contents of these tablets and the language issues involved in their interpretation, while a chapter of synthesis discusses the ways history of mathematics has typically dealt with the mathematical evidence and inquires how and to what degree mathematical tablets can be made part of a picture of the larger social context. Furthermore, the volume contributes to a geography of the Old Babylonian mathematical practices, by evidencing that scribes at Šaduppûm made use of cultural material that was locally available. The edited texts are accompanied by translations, philological, and mathematical commentaries.