Publications

a) Books

1. Ägyptische Algorithmen. Eine Untersuchung zu den mittelägyptischen mathematischen Aufgabentexten[Egyptian Algorithms. A Study of Middle Egyptian Mathematical Problem Texts], Wiesbaden: Otto Harrassowitz, 2003 Available at Otto Harrassowitz, Publisher

Abstract
Ägyptische Algorithmen is a revision of all the hieratic mathematical problem texts. After a brief overview of the historiography of pharaonic mathematics, there is a brief introduction into the Egyptian mathematical texts. Next, the aim of the book is laid out: an investigation of the mathematical problem texts. This investigation focuses on their algorithmic structure. After the analysis of the individual problems, the algorithms of the whole corpus are taken into account. In contrast to earlier works this book does not try to "translate" the Egyptian text into modern mathematical concepts. Instead, each chapter begins by presenting the background to the respective group of problems. In this introduction, archaeological sources as well as administrative documents were used. Thus the reader is introduced into the respective group of problems and their place within Egyptian culture.

Reviews
Leo Depuydt, in: Journal of the American Oriental Society 12314 (2003): 877-880
L. Brack-Bernsen, in: Historia Mathematica 31 (2004): 228-230 Elsevier Science Direct
K.B. Gundlach, in: Mathematical Reviews (2004) MR1979173 (2004e:01003)
E. Robson, in: Aestimatio 1 (2004)
anonymous, in: Bibliotheca Orientalis 62 (2005): 49
John M. Steele, in: Annals of Science 62 (2005): 411-412
Joachim F. Quack, in: Die Welt des Orients 35 (2005):202-204

2. Editor, (with John Steele), Under One Sky: Astronomy and Mathematics in the Ancient Near East. Procedings of the Conference held in the British Museum, London, June 25-27, 2001, (Alter Orient und Altes Testament 297), Münster 2002. Available at Alter Orient und Altes Testament and from Eisenbraun's

3. Assistant editor, Brill's New Pauly: Encyclopedia of the ancient world, Vols. 8-9, Leiden 2006.

b) Published Articles/Contributions to Books

"Ancient Egyptian Mathematics: New Perspectives on Old Sources", The Mathematical Intelligencer 28(1), 2006: 19-27

"UC 32107A verso: a mathematical exercise?". In: Mark COLLIER and Stephen QUIRKE (eds.), The UCL Lahun Papyri. Vol. 3. Oxford: Archaeopress 2006: 288-201

(with Volker Remmert) "The Oration on the Dignity and the Usefulness of the Mathematical Sciences of Martinus Hortensius (Amsterdam 1634): Text, Translation and Commentary", History of Universities 21, 2006, 71-150

(with Jim Ritter) "Mathematical fragments: UC 32114, UC 32118, UC 32134, UC 32159 UC32162". In: Mark COLLIER and Stephen QUIRKE (eds.), The UCL Lahun Papyri. Vol. 2. Oxford: Archaeopress 2004: 71-96

"Egyptian Mathematical Texts and Their Contexts", Science in Context 16, 2003, 367-389 Elecronic version available at Cambridge Journals Online

Abstract
The extant sources for ancient Egyptian mathematics are extremely limited. It is therefore necessary to read the few sources carefully and use additional information from further Egyptian sources in order to achieve the most detailed picture possible. Traditional approaches to Egyptian mathematics have provided only a superficial account of mathematical practices and almost no information about the role of mathematics within Egyptian culture. To enlarge our knowledge it is crucial to use a different methodological approach in the analysis of ancient mathematical techniques. In addition, it is indispensable to contextualize the mathematical problems with sources that are not specifically mathematical per se. In this article I discuss several possibilities for these additional sources, such as administrative texts, reliefs found in tombs, and other archaeological evidence. I exemplify the use of these sources with two problems from the Moscow mathematical papyrus.

"Calculating the Daily Bread: Rations in Theory and Practice", Historia Mathematica 30, 2003: 3-16. Available at Elsevier Science Direct

Abstract
This article discusses the handling of rations in Middle Kingdom Egypt (2119-1794/93 BC) as it is displayed in three types of texts: mathematical problem texts, administrative ration texts ("real" ration texts), and literary texts. The example of handling rations is used to examine the relation between mathematical problem texts-which served according to the opinio communis to educate scribes- and administrative texts, the actual documents from the professional life of scribes. Using one specific example, the use of a mathematical technique from the problem texts within a ration text is demonstrated. The presentation is complemented by passages from literary texts referring to rations.

"Zahl, II. Ägypten", in: Hubertus Cancik and Helmuth Schneider (eds.), Der Neue Pauly. Enzyklopädie der Antike,Vol. 12/2 Ven-Z, Stuttgart 2003: 668-669

"The Algorithmic Structure of the Egyptian Mathematical Problem Texts", in: John Steele and Annette Imhausen (eds.), Under One Sky: Astronomy and Mathematics in the Ancient Near East, Procedings of the Conference held in the British Museum, London, June 25-27, 2001, (Alter Orient und Altes Testament 297), Münster 2002: 147 166

"Die aHa-Aufgaben der ägyptischen mathematischen Texte und ihre Lösungen" [The aHa-problems in Egyptian mathematical texts and their solutions], in: C.-B. Arnst et al. (eds.), Begegnungen. Antike Kulturen im Niltal, Leipzig 2001: 213 220

"Die Mathematisierung von Brot und Bier" [The mathematical handling of bread and beer], in: Danny BECKERS, Katja PETERS, Carsen VOLLMERS (eds.), 9. Novembertagung zur Geschichte der Mathematik, Nijmegen, 29.X-1.XI 1998, Nijmegen 1999: 12-21

"Aufgabe 16 des mathematischen Papyrus Moskau - Rechenfehler oder Ligatur?" [Moscow mathematical papyrus, problem 16 miscalculation or ligature?], in: Göttinger Miszellen 168, 1999: 45-48

"Das Zahlensystem der Ägypter - (k)ein Dezimalsystem?" [The Egyptian number system not a decimal system?], in: Discussions in Egyptology 36, 1996: 49-51

c) Reviews

"Corinna Rossi: Architecture and Mathematics in Ancient Egypt, Cambridge University Press 2004", American Journal of Archaeology 110, 2006, 316-317

"Chikara Sasaki: Descartes's Mathematical Thought (Boston Studies in the Philosophy of Science 237), Kluwer Academic Publishers 2003", MAA Reviews, 2006

"Serafina Cuomo: Ancient Mathematics, Routledge 2001", Aestimatio 2, 2005: 49-57

d) Authored Webpages

Lahun Mathematical Fragments within the project, Digital Egypt for Universities