Preface; Contents; 1. Late Babylonian Tables of Many-Place Regular Sexagesimal Numbers, from Babylon, Sippar, and Uruk; 1.1 Late Babylonian Texts Concerned with Many-Place Regular Sexagesimal Numbers; 1.2 Table B (Babylon). Fragments of a Seleucid Many-Place Table of Reciprocals, with n from 1 to 2; 1.2.1 BM 35568. A List of Squares of Many-Place Regular Sexagesimal Numbers; 1.2.2 Attested Many-Place Regular Numbers n in the Fragments and in Tables U and S; 1.2.3 Table R: A Reconstructed Common Ancestor to Tables B, U, and S; 1.2.4 The Numerical Algorithms Used for the Construction of Table R

1.2.5 The Double 6-Place Hexagon and the 12-Place Flower in the Index Grid1.2.6 An Error in a Table of Squares Related to the Enlarged Table B*; 1.3 Table U = W 23283+22905 (Uruk). An Achaemenid Many-Place Table of Reciprocals, with n from 1 to 4; 1.3.1 Mathematical and Metrological Tablets from a House in Achaemenid Uruk; 1.3.2 A Curious Incipit, and a Colophon; 1.3.3 A Curious Use of the Technical Term íb.si in Table U; 1.3.4 Numerical Errors in Table U; 1.3.5 A Curious Extra Line in Table U; 1.3.6 Table U. New Photos and Transliterations

1.4 Table S = Sippar 2175/12. A Neo-Babylonian Many-Place Table of Reciprocals, with n f rom 1 to 31.4.1 Numerical Errors and Missing Pairs in Table S; 1.4.2 Table S. Hand Copies and Conform Transliterations; 1.5 Table V = AO 6456 (Uruk). A Seleucid Many-Place Table of Reciprocals, with n from 1 to 3; 1.5.1 An Invocation, a Many-Place Table of Reciprocals, a Description, and a Colophon; 1.5.2 Numerical Errors and Missing Pairs in Table V; 1.5.3 Representation in the Index Grid, Inside a 6-place Double Triangle; 1.5.4 Table U. New Photos

1.6 Table W = W 23281, rev. (Uruk). An Atypical Achaemenid Many-Place Table of Reciprocals1.6.1 An Atypical Many-Place Table of Reciprocals; 1.6.2 The Numerical Algorithms Used for the Construction of Table W; 1.6.3 A Partly Preserved Colophon; 2. Direct and Inverse Factorization Algorithms for Many-Place Regular Sexagesimal Numbers; 2.1 BM 46550. A Neo-Babylonian Tablet with Direct and Inverse Factorization Algorithms; 2.1.1 Description of the Tablet and New Photos; 2.1.2 A Spectacular Old Babylonian Example of a Many-Place Pair of Reciprocals

2.1.3 An Application of a Last Place Factorization Algorithm2.1.4 An Application of an Inverse Last Place Factorization Algorithm; 2.1.5 Last Place Traces in a Triaxial Index Grid; 2.1.6 A Faulty Application of the Last Place Factorization Algorithm; 2.1.7 On the Choice of the Initial Number n = 1 01 02 06 33 45; 2.1.8 Errors in BM 46550; 2.2 CBS 1215 and the Old Babylonian Trailing Part Factorization Algorithm; 2.3 Reconstructions of Factorization Algorithms on Three Seleucid Tablet Fragments; 2.3.1 BM 34517. A Descending Table of Powers of 9