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.

Lengths Widths Surfaces

Author: Jens Høyrup
Publisher: Springer Science & Business Media
ISBN: 0387953035
Release Date: 2002-01-02
Genre: Mathematics

In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.

New Mathematical Cuneiform Texts

Author: Jöran Friberg
Publisher: Springer
ISBN: 9783319445977
Release Date: 2017-03-15
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.

A History of Ancient Mathematical Astronomy

Author: O. Neugebauer
Publisher: Springer Science & Business Media
ISBN: 9783642619106
Release Date: 2012-12-06
Genre: Science

From the reviews: "This monumental work will henceforth be the standard interpretation of ancient mathematical astronomy. It is easy to point out its many virtues: comprehensiveness and common sense are two of the most important. Neugebauer has studied profoundly every relevant text in Akkadian, Egyptian, Greek, and Latin, no matter how fragmentary; [...] With the combination of mathematical rigor and a sober sense of the true nature of the evidence, he has penetrated the astronomical and the historical significance of his material. [...] His work has been and will remain the most admired model for those working with mathematical and astronomical texts. D. Pingree in Bibliotheca Orientalis, 1977 "... a work that is a landmark, not only for the history of science, but for the history of scholarship. HAMA [History of Ancient Mathematical Astronomy] places the history of ancient Astronomy on a entirely new foundation. We shall not soon see its equal. N.M. Swerdlow in Historia Mathematica, 1979

New Mathematical Cuneiform Texts

Author: Jöran Friberg
Publisher: Springer
ISBN: 9783319445977
Release Date: 2017-03-15
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.

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.

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.

Astronomical Cuneiform Texts

Author: O. Neugebauer
Publisher: Springer Science & Business Media
ISBN: 9781461255079
Release Date: 2013-11-11
Genre: Mathematics

THE MOON IX PREFACE TO THE SPRINGER EDITION When this collection of Babylonian astronomical purpose of column of the lunar ephemerides (by texts was published in 1955 (a date omitted by Aaboe) and the explanation of the method of computing the eclipse text ACT No. 6o (by Hamilton mistake from the title page), it contained all texts of this type that I could lay my hands on. As was to be and Aaboe). Some of these advances I have tried to incorporate into my History of Ancient Mathematical expected, the past 25 years provided more fragments, identified by A. Sachs and A. Aaboe in the British Astronomy (1975), which should be used as a guide to Museum and listed below. Also, some new joins the more recent literature. could be made and some errors of mine corrected. My sincerest thanks go to Springer-Verlag for Nevertheless, I think one still can consider the making this work again available to students of material of 1955 to be representative of what has been ancient astronomy. The Institute for Advanced preserved of the mathematical astronomy of the Study, which together with Brown University has Seleucid period. supported my work for more than four decades, has In the meantime, far more progress has been made graciously given its permission for this reprint. in our understanding of Babylonian astronomy, mainly by the publications of Aaboe, Hamilton, Maeyama, Sachs, van der Waerden, and others. As an Princeton 0.

Scientific Sources and Teaching Contexts Throughout History Problems and Perspectives

Author: Alain Bernard
Publisher: Springer Science & Business Media
ISBN: 9789400751224
Release Date: 2013-11-26
Genre: Science

This book examines the textual, social, cultural, practical and institutional environments to which the expression “teaching and learning contexts” refers. It reflects on the extent to which studying such environments helps us to better understand ancient or modern sources, and how notions of “teaching” and “learning” are to be understood. Tackling two problems: the first, is that of certain sources of scientific knowledge being studied without taking into account the various “contexts” of transmission that gave this knowledge a long-lasting meaning. The second is that other sources are related to teaching and learning activities, but without being too precise and demonstrative about the existence and nature of this “teaching context”. In other words, this book makes clear what is meant by “context” and highlights the complexity of the practice hidden by the words “teaching” and “learning”. Divided into three parts, the book makes accessible teaching and learning situations, presents comparatist approaches, and emphasizes the notion of teaching as projects embedded in coherent treatises or productions.

From Aristotle to Augustine

Author: David J. Furley
Publisher: Psychology Press
ISBN: 9780415308748
Release Date: 2003
Genre: Philosophy

From Aristotle to Augustine surveys the work of philosophers who wrote in Greek and Latin from the mid-4th century BC to the 5th century AD. This second volume opens with Aristotle's immense influence on philosophy from the beginnings of Christian philosophy in the 5th century AD.

The Arithmetic of Infinitesimals

Author: John Wallis
Publisher: Springer Science & Business Media
ISBN: 9781475743128
Release Date: 2013-06-29
Genre: Mathematics

John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.

Magic Squares in the Tenth Century

Author: Jacques Sesiano
Publisher: Springer
ISBN: 9783319521145
Release Date: 2017-05-31
Genre: Mathematics

This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts, and the third contains the original Arabic texts, which date back to the tenth century.