A Remarkable Collection of Babylonian Mathematical Texts

A Remarkable Collection of Babylonian Mathematical Texts PDF Author: Jöran Friberg
Publisher: Springer Science & Business Media
ISBN: 0387489770
Category : Mathematics
Languages : en
Pages : 544

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Book Description
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.

A Remarkable Collection of Babylonian Mathematical Texts

A Remarkable Collection of Babylonian Mathematical Texts PDF Author: Jöran Friberg
Publisher: Springer Science & Business Media
ISBN: 0387489770
Category : Mathematics
Languages : en
Pages : 544

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Book Description
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.

A Remarkable Collection of Babylonian Mathematical Texts

A Remarkable Collection of Babylonian Mathematical Texts PDF Author: Joran Friberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


New Mathematical Cuneiform Texts

New Mathematical Cuneiform Texts PDF Author: Jöran Friberg
Publisher: Springer
ISBN: 3319445979
Category : Mathematics
Languages : en
Pages : 566

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Book Description
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script.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.

Babylonian Mathematical Astronomy: Procedure Texts

Babylonian Mathematical Astronomy: Procedure Texts PDF Author: Mathieu Ossendrijver
Publisher: Springer Science & Business Media
ISBN: 1461437822
Category : Mathematics
Languages : en
Pages : 636

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Book Description
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.

Unexpected Links Between Egyptian and Babylonian Mathematics

Unexpected Links Between Egyptian and Babylonian Mathematics PDF Author: J”ran Friberg
Publisher: World Scientific
ISBN: 9812701125
Category : Mathematics
Languages : en
Pages : 308

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Book Description
Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts. In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected.

Amazing Traces Of A Babylonian Origin In Greek Mathematics

Amazing Traces Of A Babylonian Origin In Greek Mathematics PDF Author: Joran Friberg
Publisher: World Scientific
ISBN: 9814476307
Category : Mathematics
Languages : en
Pages : 497

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Book Description
A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian “metric algebra,” a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets.The book's use of “metric algebra diagrams” in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract “lettered diagrams” in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics.

Mesopotamian Commentaries on the Diagnostic Handbook Sa-gig

Mesopotamian Commentaries on the Diagnostic Handbook Sa-gig PDF Author: John Z Wee
Publisher: BRILL
ISBN: 9004417567
Category : History
Languages : en
Pages : 513

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Book Description
Mesopotamian Commentaries on the Diagnostic Handbook Sa-gig is intended for specialists in cuneiform studies, and includes a cuneiform edition, English translation, and notes on medical lexicography for thirty Sa-gig commentary tablets and fragments, as well as a study on technical notations recurring in these commentaries. Within the Cuneiform Monographs series, this book represents a companion volume to Knowledge and Rhetoric in Medical Commentary (Brill, 2019).

Historical Dictionary of Mesopotamia

Historical Dictionary of Mesopotamia PDF Author: Gwendolyn Leick
Publisher: Scarecrow Press
ISBN: 0810863243
Category : History
Languages : en
Pages : 301

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Book Description
The Greek name Mesopotamia means 'land between the rivers.' The Romans used this term for an area that they controlled only briefly (between 115 and 117 A.D.): the land between the Euphrates and Tigris rivers, from the south Anatolian mountains ranges to the Persian Gulf. It comprises the civilizations of Sumer and Akkad (third millennium B.C.) as well as the later Babylonian and Assyrian empires of the second and first millennium. Although the 'history' of Mesopotamia in the strict sense of the term only begins with the inscriptions of Sumerian rulers around the 27th century B.C., the foundations for Mesopotamian civilization, especially the beginnings of irrigation and the emergence of large permanent settlements, were laid much earlier, in the fifth and fourth millennium. The second edition of the Historical Dictionary of Mesopotamia defines concepts, customs, and notions peculiar to the civilization of ancient Mesopotamia, from adult adoption to ziggurats. This is accomplished through a chronology, an introductory essay, a bibliography, appendixes, and hundreds of cross-reference dictionary entries on religion, economy, society, geography, and important kings and rulers.

Science and Technology in World History [2 volumes]

Science and Technology in World History [2 volumes] PDF Author: William E. Burns
Publisher: Bloomsbury Publishing USA
ISBN:
Category : History
Languages : en
Pages : 709

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Book Description
This encyclopedia offers an interdisciplinary approach to studying science and technology within the context of world history. With balanced coverage, a logical organization, and in-depth entries, readers of all inclinations will find useful and interesting information in its contents. Science and Technology in World History takes a truly global approach to the subjects of science and technology and spans the entirety of recorded human history. Topical articles and entries on the subjects are arranged under thematic categories, which are divided further into chronological periods. This format, along with the encyclopedia's integrative approach, offers an array of perspectives that collectively contribute to the understanding of numerous fields across the world and over eras of development. Entries cover discussions of scientific and technological innovations and theories, historical vignettes, and important texts and individuals throughout the world. From the discovery of fire and the innovation of agricultural methods in China to the establishment of surgical practices in France and the invention of Quantum Theory, this encyclopedia offers comprehensive coverage of fascinating topics in science and technology through a straightforward, historical lens.

Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators

Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators PDF Author: Alexei Volkov
Publisher: Springer
ISBN: 3319733966
Category : Education
Languages : en
Pages : 464

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Book Description
This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.