Non-European Mathematics Manuscripts: Multilingual Translation Drafts and Modern LaTeX Sources

Current multilingual non-European mathematics release for the Modern LaTeX Editions of Public-Domain Mathematics Manuscripts project. This record is organized by language and corpus, with combined reader PDFs for quick browsing and individual work PDFs for direct download.

Reader surface: [##########] English bilingual translations: 21 work-level PDFs / 60 TeX files; [##########] classical-modern Chinese translations: 7 work-level PDFs / 22 TeX files; [##########] Arabic translations: 6 work-level PDFs / 11 TeX files; [##########] original-language modern LaTeX drafts: 19 work-level PDFs; [##########] reference/witness drafts: 5 work-level PDFs.

The top-level PDFs use human-readable filenames and begin with an ordering number: the index and combined readers first, followed by work-level translation readers, original-language readers, and historical reference readers. Each public PDF begins with a short front-matter page identifying what it is, its status, and how to use it. The source TeX, OCR/review notes, working page images, audit/repair notes, and as-received source/provenance archive are bundled in language-organized ZIP artifacts with readable titles.

Reader-surface quality note. This version incorporates the 2026-05-28 multilingual cleanup pass: all 66 public-reader PDFs were rebuilt or rechecked, 52 changed relative to the previous public candidate, 40 component PDFs were regenerated, and 214 TeX sources are included in the repair/source artifact. A full local text sweep of the staged top-level PDFs found no public-facing process-note hits. The upstream cleanup report records two residual hits for the string kimit..., both false positives inside Sanskrit transliteration rather than tool/process text.

Human-readable contents.

English translation drafts from the current Chinese, Indian/Sanskrit, Islamic/Arabic, and reference-language source material:

• Anonymous, Jiuzhang Suanshu and Nine Chapters, volumes 1-9 — 10-01 English Translation - Nine Chapters, vols. 1-9.pdf
• Li Ye, Ceyuan Haijing, volumes 1-12 — 10-02 English Translation - Li Ye - Ceyuan Haijing, vols. 1-12.pdf
• Qin Jiushao, Shuxue Jiuzhang, fascicles 1-9 — 10-03 English Translation - Qin - Shuxue Jiuzhang, fasc. 1-9.pdf
• Sunzi, Sunzi Suanjing — 10-04 English Translation - Sunzi Suanjing.pdf
• Yang Hui, Xiangjie Jiuzhang Suanfa, parts 1-3 — 10-05 English Translation - Yang Hui - Xiangjie, parts 1-3.pdf
• Zhu Shijie, Suanxue Qimeng, parts 1-2 — 10-06 English Translation - Zhu Shijie - Suanxue Qimeng, parts 1-2.pdf
• Aryabhata, Aryabhatiya — 10-07 English Translation - Aryabhata - Aryabhatiya.pdf
• Bhaskara II, Bijaganita, parts 1-3 — 10-08 English Translation - Bhaskara II - Bijaganita, parts 1-3.pdf
• Bhaskara II, Lilavati — 10-09 English Translation - Bhaskara II - Lilavati.pdf
• Brahmagupta, Brahmasphutasiddhanta, chunks — 10-10 English Translation - Brahmagupta - Brahmasphutasiddhanta.pdf
• Jamshid al-Kashi, Miftah al-Hisab — 10-11 English Translation - al-Kashi - Miftah al-Hisab.pdf
• al-Khwarizmi, al-Jabr wa-l-Muqabala — 10-12 English Translation - al-Khwarizmi - Algebra.pdf
• Nasir al-Din al-Tusi, Shakl al-Qatta — 10-13 English Translation - al-Tusi - Shakl al-Qatta.pdf
• Robert of Chester and Louis Karpinski, Latin translation of al-Khwarizmi (1915) — 10-14 English Translation - Robert of Chester and Karpinski.pdf
• Omar Khayyam, Treatise on Algebra — 10-15 English Translation - Omar Khayyam - Treatise on Algebra.pdf
• Frederic Rosen, Algebra of Mohammed Ben Musa (1831) — 10-16 English Translation - Rosen - Algebra of Mohammed Ben Musa.pdf
• Julius Ruska, Zur altesten arabischen Algebra — 10-17 English Translation - Ruska - Oldest Arabic Algebra.pdf
• al-Muqaddasi, Ahsan al-Taqasim — 10-18 English Translation - al-Muqaddasi - Ahsan al-Taqasim.pdf
• Ibn al-Nadim, Kitab al-Fihrist — 10-19 English Translation - Ibn al-Nadim - Kitab al-Fihrist.pdf
• Said al-Andalusi, Tabaqat al-Umam — 10-20 English Translation - Said al-Andalusi - Tabaqat al-Umam.pdf
• Smith and Karpinski, Hindu-Arabic Numerals (1911) — 10-21 English Translation - Smith-Karpinski - Numerals.pdf

Classical-to-modern Chinese renderings for current Chinese mathematical texts:

• Anonymous, Jiuzhang Suanshu and Nine Chapters, volumes 1-9 — 20-01 Modern Chinese - Nine Chapters, vols. 1-9.pdf
• Li Ye, Ceyuan Haijing, volumes 1-12 — 20-02 Modern Chinese - Li Ye - Ceyuan Haijing, vols. 1-12.pdf
• Li Ye, Ceyuan Haijing Fenlei Shishu, volumes 1-10 — 20-03 Modern Chinese - Li Ye - Ceyuan Haijing Fenlei Shishu.pdf
• Qin Jiushao, Shuxue Jiuzhang, fascicles 1 and 5-9 — 20-04 Modern Chinese - Qin - Shuxue Jiuzhang, fasc. 1 and 5-9.pdf
• Sunzi, Sunzi Suanjing, classical-modern Chinese — 20-05 Modern Chinese - Sunzi Suanjing.pdf
• Yang Hui, Xiangjie Jiuzhang Suanfa, parts 1-3 — 20-06 Modern Chinese - Yang Hui - Xiangjie, parts 1-3.pdf
• Zhu Shijie, Suanxue Qimeng, parts 1-2 — 20-07 Modern Chinese - Zhu Shijie - Suanxue Qimeng, parts 1-2.pdf

Arabic translation drafts:

• Li Ye, Ceyuan Haijing, Arabic translation volumes 1-6 and 10-12 — 30-01 Arabic Translation - Li Ye - Ceyuan Haijing, vols. 1-6 and 10-12.pdf
• Qin Jiushao, Shuxue Jiuzhang, Arabic translation fascicles 1 and 4 — 30-02 Arabic Translation - Qin - Shuxue Jiuzhang, fasc. 1 and 4.pdf
• Yang Hui, Xiangjie Jiuzhang Suanfa, Arabic translation part 1 — 30-03 Arabic Translation - Yang Hui - Xiangjie, part 1.pdf
• Jamshid al-Kashi, Miftah al-Hisab, Arabic translation — 30-04 Arabic Translation - al-Kashi - Miftah al-Hisab.pdf
• al-Khwarizmi, al-Jabr wa-l-Muqabala, Arabic translation — 30-05 Arabic Translation - al-Khwarizmi - Algebra.pdf
• Omar Khayyam, Treatise on Algebra, Arabic translation — 30-06 Arabic Translation - Omar Khayyam - Treatise on Algebra.pdf

Original-language modern LaTeX drafts, grouped by work rather than source chunk:

• Anonymous, Jiuzhang Suanshu and Nine Chapters, volumes 1-9 — 40-01 Chinese Original - Nine Chapters, vols. 1-9.pdf
• Li Ye, Ceyuan Haijing, volumes 1-12 — 40-02 Chinese Original - Li Ye - Ceyuan Haijing, vols. 1-12.pdf
• Li Ye, Ceyuan Haijing Fenlei Shishu, volumes 1-10 — 40-03 Chinese Original - Li Ye - Ceyuan Haijing Fenlei Shishu.pdf
• Li Ye, Ceyuan Haijing geometric detail — 40-04 Chinese Original - Li Ye - Ceyuan Haijing geometry.pdf
• Qin Jiushao, Shuxue Jiuzhang, fascicles 1-9 — 40-05 Chinese Original - Qin - Shuxue Jiuzhang, fasc. 1-9.pdf
• Sunzi, Sunzi Suanjing — 40-06 Chinese Original - Sunzi Suanjing.pdf
• Yang Hui, Xiangjie Jiuzhang Suanfa, parts 1-3 — 40-07 Chinese Original - Yang Hui - Xiangjie, parts 1-3.pdf
• Zhu Shijie, Suanxue Qimeng, parts 1-2 — 40-08 Chinese Original - Zhu Shijie - Suanxue Qimeng, parts 1-2.pdf
• Aryabhata, Aryabhatiya — 50-01 Indian Original - Aryabhata - Aryabhatiya.pdf
• Bhaskara II, Bijaganita, parts 1-3 — 50-02 Indian Original - Bhaskara II - Bijaganita, parts 1-3.pdf
• Bhaskara II, Lilavati — 50-03 Indian Original - Bhaskara II - Lilavati.pdf
• Brahmagupta, Brahmasphutasiddhanta, complete — 50-04 Indian Original - Brahmagupta - Brahmasphutasiddhanta.pdf
• Jamshid al-Kashi, Miftah al-Hisab — 60-01 Islamic Original - al-Kashi - Miftah al-Hisab.pdf
• al-Khwarizmi, al-Jabr wa-l-Muqabala — 60-02 Islamic Original - al-Khwarizmi - Algebra.pdf
• Nasir al-Din al-Tusi, Shakl al-Qatta — 60-03 Islamic Original - al-Tusi - Shakl al-Qatta.pdf
• Omar Khayyam, Treatise on Algebra — 60-04 Islamic Original - Omar Khayyam - Treatise on Algebra.pdf
• Julius Ruska, Zur altesten arabischen Algebra (1917) — 60-05 Islamic Original - Ruska - Oldest Arabic Algebra (1917).pdf
• Frederic Rosen, Algebra of Mohammed Ben Musa (1831) — 60-06 Islamic Original - Rosen - Algebra of Mohammed Ben Musa.pdf
• Robert of Chester and Louis Karpinski, Latin translation of al-Khwarizmi (1915) — 60-07 Islamic Original - Robert of Chester and Karpinski.pdf

Historical reference and witness texts:

• Said al-Andalusi, Tabaqat al-Umam — 70-01 Reference Text - Said al-Andalusi - Tabaqat al-Umam.pdf
• al-Muqaddasi, Ahsan al-Taqasim — 70-02 Reference Text - al-Muqaddasi - Ahsan al-Taqasim.pdf
• Ibn al-Nadim, Kitab al-Fihrist — 70-03 Reference Text - Ibn al-Nadim - Kitab al-Fihrist.pdf
• Ibn al-Qifti, Tarikh al-Hukama — 70-04 Reference Text - Ibn al-Qifti - Tarikh al-Hukama.pdf
• Smith and Karpinski, Hindu-Arabic Numerals (1911) — 70-05 Reference Text - Smith-Karpinski - Numerals.pdf

Current quality audit. The cleaned upload candidate contains 66 top-level reader PDFs totaling 4,533 pages. The public reader names are unchanged from the previous version for stable direct download links, but 52 PDFs differ by size/hash after the cleanup pass. The repaired artifact ZIP contains editable TeX, regenerated component PDFs, text-sweep reports, checksums, and repair notes. Large source-PDF, OCR/page-image, and as-received provenance archives remain attached so the record does not lose prior source material.

Workflow. Source scans and witnesses are collected, converted into TeX drafts, checked into readable PDFs, and published with source artifacts for inspection and correction. Readers are welcome to suggest better scans or missing texts. This release is draft work for checking and continuation, not a proofed critical edition.