Mesopotamian Mathematics 2100 1600 Bc

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Mesopotamian Mathematics, 2100-1600 BC

Author : Eleanor Robson
Publisher : Oxford University Press
ISBN 13 : 9780198152460
Total Pages : 544 pages
Book Rating : 4.1/5 (524 download)

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Book Synopsis Mesopotamian Mathematics, 2100-1600 BC by : Eleanor Robson

Download or read book Mesopotamian Mathematics, 2100-1600 BC written by Eleanor Robson and published by Oxford University Press. This book was released on 1999 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics was integral to Mesopotamian scribal culture: indeed, writing was invented towards the end of the fourth millennium B.C. for the express purpose of recording numericalatical information. The main body of this book is a mathematical and philological discussion of the two hundred technical constants, or "coefficients," found in early second millennium mathematics. Their names and mathematical functions are established, leading to improved interpretations of several large mathematical topics. The origins of many coefficients--and much of the more practical mathematics--are traced to late third millennium accounting and quantity surveying practices. Finally, the coefficients are used to examine some aspects of mathematics education in early Mesopotamia.

Mathematics in Ancient Iraq

Author : Eleanor Robson
Publisher : Princeton University Press
ISBN 13 : 0691201404
Total Pages : 399 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Mathematics in Ancient Iraq by : Eleanor Robson

Download or read book Mathematics in Ancient Iraq written by Eleanor Robson and published by Princeton University Press. This book was released on 2020-06-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.

A Remarkable Collection of Babylonian Mathematical Texts

Author : Jöran Friberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387345434
Total Pages : 544 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis A Remarkable Collection of Babylonian Mathematical Texts by : Jöran Friberg

Download or read book A Remarkable Collection of Babylonian Mathematical Texts written by Jöran Friberg and published by Springer Science & Business Media. This book was released on 2007-07-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The History of Mathematical Tables

Author : Martin Campbell-Kelly
Publisher : OUP Oxford
ISBN 13 : 019154521X
Total Pages : 372 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The History of Mathematical Tables by : Martin Campbell-Kelly

Download or read book The History of Mathematical Tables written by Martin Campbell-Kelly and published by OUP Oxford. This book was released on 2003-10-02 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity; table making and printed tabular matter are important precursors to modern computing and information processing. This book contains a series of articles summarising the technical, institutional and intellectual history of mathematical tables from earliest times until the late twentieth century. It covers mathematical tables (the most important computing aid for several hundred years until the 1960s), data tables (eg. Census tables), professional tables (eg. insurance tables), and spreadsheets - the most recent tabular innovation. The book is presented in a scholarly yet accessible way, making appropriate use of text boxes and illustrations. Each chapter has a frontispiece featuring a table along with a small illustration of the source where the table was first displayed. Most chapters have sidebars telling a short "story" or history relating to the chapter. The aim of this edited volume is to capture the history of tables through eleven chapters written by subject specialists. The contributors describe the various information processing techniques and artefacts whose unifying concept is "the mathematical table".

History of Mathematics

Author : Vagn Lundsgaard Hansen
Publisher : EOLSS Publications
ISBN 13 : 1848262213
Total Pages : 396 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis History of Mathematics by : Vagn Lundsgaard Hansen

Download or read book History of Mathematics written by Vagn Lundsgaard Hansen and published by EOLSS Publications. This book was released on 2010-12-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History of Mathematics is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on History of Mathematics discusses: Mathematics in Egypt and Mesopotamia; History of Trigonometryto 1550; Mathematics in Japan; The Mathematization of The Physical Sciences-Differential Equations of Nature; A Short History of Dynamical Systems Theory:1885-2007; Measure Theories and Ergodicity Problems; The Number Concept and Number Systems; Operations Research and Mathematical Programming: From War to Academia - A Joint Venture; Elementary Mathematics From An Advanced Standpoint; The History and Concept of Mathematical Proof; Geometry in The 20th Century; Bourbaki: An Epiphenomenon in The History of Mathematics This volume is aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691235392
Total Pages : 701 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The Mathematics of Egypt, Mesopotamia, China, India, and Islam by : Victor J. Katz

Download or read book The Mathematics of Egypt, Mesopotamia, China, India, and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2021-08-10 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Unexpected Links Between Egyptian and Babylonian Mathematics

Author : Jran Friberg
Publisher : World Scientific
ISBN 13 : 9812563288
Total Pages : 308 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Unexpected Links Between Egyptian and Babylonian Mathematics by : Jran Friberg

Download or read book Unexpected Links Between Egyptian and Babylonian Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2005 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The History of Mathematics

Author : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118460294
Total Pages : 593 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis The History of Mathematics by : Roger L. Cooke

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2012-11-08 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

New Mathematical Cuneiform Texts

Author : Jöran Friberg
Publisher : Springer
ISBN 13 : 3319445979
Total Pages : 553 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis New Mathematical Cuneiform Texts by : Jöran Friberg

Download or read book New Mathematical Cuneiform Texts written by Jöran Friberg and published by Springer. This book was released on 2017-02-13 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sherlock Holmes in Babylon and Other Tales of Mathematical History

Author : Marlow Anderson
Publisher : American Mathematical Society
ISBN 13 : 1470470039
Total Pages : 399 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Sherlock Holmes in Babylon and Other Tales of Mathematical History by : Marlow Anderson

Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson and published by American Mathematical Society. This book was released on 2022-04-26 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.

Cultures of Computation and Quantification in the Ancient World

Author : Karine Chemla
Publisher : Springer Nature
ISBN 13 : 3030983617
Total Pages : 764 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Cultures of Computation and Quantification in the Ancient World by : Karine Chemla

Download or read book Cultures of Computation and Quantification in the Ancient World written by Karine Chemla and published by Springer Nature. This book was released on 2023-01-01 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.

Amazing Traces of a Babylonian Origin in Greek Mathematics

Author : Jran Friberg
Publisher : World Scientific
ISBN 13 : 9812708847
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Amazing Traces of a Babylonian Origin in Greek Mathematics by : Jran Friberg

Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the authorOCOs 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 OC metric algebra, OCO 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 bookOCOs use of OC metric algebra diagramsOCO in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract OC lettered diagramsOCO in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The authorOCOs comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics."

Using History to Teach Mathematics

Author : Victor J. Katz
Publisher : Cambridge University Press
ISBN 13 : 9780883851630
Total Pages : 284 pages
Book Rating : 4.8/5 (516 download)

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Book Synopsis Using History to Teach Mathematics by : Victor J. Katz

Download or read book Using History to Teach Mathematics written by Victor J. Katz and published by Cambridge University Press. This book was released on 2000-09-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Selected Essays on Pre- and Early Modern Mathematical Practice

Author : Jens Høyrup
Publisher : Springer Nature
ISBN 13 : 303019258X
Total Pages : 969 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Selected Essays on Pre- and Early Modern Mathematical Practice by : Jens Høyrup

Download or read book Selected Essays on Pre- and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

Mathematics, Administrative and Economic Activities in Ancient Worlds

Author : Cécile Michel
Publisher : Springer Nature
ISBN 13 : 3030483894
Total Pages : 560 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Mathematics, Administrative and Economic Activities in Ancient Worlds by : Cécile Michel

Download or read book Mathematics, Administrative and Economic Activities in Ancient Worlds written by Cécile Michel and published by Springer Nature. This book was released on 2020-09-29 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.

Mathematics in Ancient Egypt

Author : Annette Imhausen
Publisher : Princeton University Press
ISBN 13 : 0691209073
Total Pages : 248 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Mathematics in Ancient Egypt by : Annette Imhausen

Download or read book Mathematics in Ancient Egypt written by Annette Imhausen and published by Princeton University Press. This book was released on 2020-10-13 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.

Mathematical Tablets from Tell Harmal

Author : Carlos Gonçalves
Publisher : Springer
ISBN 13 : 3319225243
Total Pages : 141 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Tablets from Tell Harmal by : Carlos Gonçalves

Download or read book Mathematical Tablets from Tell Harmal written by Carlos Gonçalves and published by Springer. This book was released on 2015-11-13 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.