One: Introduction.- I. The Four Arabic Books and the Arithmetica.- §1. Authenticity of the Arabic Books@.- 1. That the Arabic Books Belong to the Arithmetica.- 2.
Concerning Their Place Within the Arithmetica.- a. Placement of the Arabic Book IV.- b. Basic Methods Used in the Arabic Books.- c. Placement of the Four Arabic Books.- § 2.
Diophantus in Islamic, and Byzantine, Times.- 1. Qust? ibn L?q? and the Arithmetica.- 2. Islamic Mathematicians and the Arithmetica.- a. Ab? K?mil.- b.
Al-?azn.- c. Ab?'l-Waf?'.- d. Al-Karaji?.- e. Ibn al-Hai ?am.- f.
Samaw'al ibn Ya?y?.- Appendix. Designation of the Arithmetica in Arabic.- 3. Mathematicians and the Arithmetica in Byzantium.- a. The Time of Leon the Mathematician.- ?.
The Seventh and Eighth Centuries.- ß. The Century of Leon.- ?. From Leon to Planudes.- b. The Time of Maximus Planudes.- c.
Oldest Greek Manuscripts Still Extant.- ?. Non-Planudean Class.- ß. Planudean Class.- II. The Extant Arabic Text.- §3.
Description of the Manuscript.- §4. Orthographical Remarks.- 1. Writing of the hamzah.- 2. Particular Endings.- 3.
Numerals.- 4. Repeated, Erroneous Spellings.- §5. Additions by Earlier Readers (or Copyists).- §6. On the Progenitor of Our Manuscript.- §7.
Grammatical and Lexicological Remarks.- 1. Numbers and Powers.- A. Integers.- a. Grammatical Peculiarities.- b.
Determination.- B. Fractions.- a. General Fractions.- ?. Expression.- ß.
Determination.- b. Aliquot Fractions and Related Cases.- ?. Expression.- ß. Decomposition of Some Fractions.- ?.
Grammatical Peculiarities Connected with Aliquot Fractions.- C. Grammatical Number of a Mathematical Expression.- a. Units.- b. Multiple of a Power.- c.
Algebraic Polynomial Expression.- D. Powers.- a. The Greek Power-system.- b. The Arabic Power-system.- c.
The Power-system in Our Text.- ?. x5.- ß. x8.- d. Grammatical Determination of the Powers.- ?.
Two Elements.- ß. Three Elements.- 2. Some Grammatical Remarks on Verbs.- a. Verbal Persons Used.- b.
Jussives of Weak Verbs.- c. The Verb Hadala.- ?. Agreement of Hadala.- ß. Agreement of the Auxiliary of Hadala.- III.
Tentative Reconstruction of the History of the Arithmetica.- §8. Formal Subdivisions of a Problem.- 1. Analysis and Synthesis.- 2. Subdivisions of a Problem.- §9.
Major, Unsystematic Supplements in the Arithmetica.- 1. Interpolated Problems in the Arithmetica.- 2. Alternative Resolutions (?????).- a. In the Greek Books.- b.
In the Arabic Books.- 3. Other Supplements.- a. Corollaries.- b. Remarks.- c.
Additional Computations.- Appendix. A Comparison Between al-Karaji?'s Version and the Extant Arithmetica.- §10. Errors in the Problems of the Arabic Books.- §11. Quality of the Translation.- 1.
Imperfections in the Translation.- 2. General Character of the Translation.- §12. Genealogy of the Mashhad Manuscript.- 1. Earliest Additions.- 2.
The Major Commentary.- a. Additions Originating with the Major Commentary.- a. Additions in the Analysis.- ß. Additions in the Synthesis.- b.
Value of This Commentary.- c. Possible Authorship of the Major Commentary.- 3. The Addition of the Final Statements.- 4. The Arabic Diophantus.- 5.
Genealogical Tree of the Mashhad Manuscript.- §13. On the Missing Part of the Arithmetica.- 1. New Aspects of the Problem.- 2. The Announcement in the Greek Introduction.- 3.
Diophantus and the Equation $$ A{x^{2}} + Bx + C = \square $$.- 4. On Some Problems of a Diophantine Nature Found in Islamic Mathematics but Not in the Extant Arithmetica.- a. Problems of Ab? K?mil.- b. Problems of al-Karaji?.- 5.
Conclusion.- Two: Translation.- Book IV.- Book V.- Book VI.- Book VII.- Three: Mathematical Commentary.- Book IV.
- Book V.- Book VI.- Book VII.- Four: Text.- Book IV.- Book V.- Book VI.- Book VII.
- Five: Arabic Index.- General Index.