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Description
(Text)
This textbook analyzes a number of texts in "conformal translation," that is, a translation in which the same Babylonian term is always translated in the same way and, more importantly, in which different terms are always translated differently. Appendixes are provided for readers who are familiar with basic Assyriology but otherwise philological details are avoided. All of these texts date from the second half of the Old Babylonian period, that is, 1800-1600 BCE. It is during this period that the "algebraic" discipline, and Babylonian mathematics in general, culminates. Even though a few texts from the late period show some similarities with what comes from the Old Babylonian period, they are simply remnants. Beyond analyzing texts, the book gives a general characterization of the kind of mathematics involved and locates it within the context of the Old Babylonian scribe school and its particular culture. Finally, it describes the origin of the discipline and its impact in latermathematics, not least Euclid's geometry and genuine algebra as created in medieval Islam and taken over in European medieval and Renaissance mathematics. The series Textbooks of the The Max Planck Research Library for the History and Development of Knowledge presents concise information on a wide range of topics, both introductory and advanced. The volumes are available both as print-on-demand books and as open-access publications. The material is freely accessible online at www.edition-open-access. de.
(Table of content)
Preface
Introduction: The Issue - and Some Necessary Tools
Techniques for the First Degree
The Fundamental Techniques for the Second Degree
Complex Second-degree Problems
Application of Quasi-algebraicTechniques to Geometry
General Characteristics
The Background
Origin and Heritage
A Moral
Appendix A: Problems for the Reader
Appendix B: Transliterated Texts
Bibliographical Note
