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: 22 work-level PDFs / 37 TeX files; [##########] classical-modern Chinese translations: 8 work-level PDFs / 8 TeX files; [##########] Arabic translations: 1 work-level PDF / 1 TeX file; [##########] 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the index and combined readers first, followed by work-level translation readers, original-language readers, and historical reference readers.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, and raw source archive are bundled in language-organized ZIP artifacts with readable titles.

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 — 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
• Ibn al-Qifti, Tarikh al-Hukama — 10-20 English Translation - Ibn al-Qifti - Tarikh al-Hukama.pdf
• Said al-Andalusi, Tabaqat al-Umam — 10-21 English Translation - Said al-Andalusi - Tabaqat al-Umam.pdf
• Smith and Karpinski, Hindu-Arabic Numerals (1911) — 10-22 English Translation - Smith-Karpinski - Numerals.pdf

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

• Anonymous, Jiuzhang Suanshu and Nine Chapters, volumes 1-3 — 20-01 Modern Chinese - Nine Chapters, vols. 1-3.pdf
• Li Ye, Ceyuan Haijing, volumes 1-3 — 20-02 Modern Chinese - Li Ye - Ceyuan Haijing, vols. 1-3.pdf
• Li Ye, Ceyuan Haijing Fenlei Shishu, volumes 1-3 — 20-03 Modern Chinese - Li Ye - Ceyuan Haijing Fenlei, vols. 1-3.pdf
• Qin Jiushao, Shuxue Jiuzhang, fascicle 1 — 20-04 Modern Chinese - Qin - Shuxue Jiuzhang, fasc. 1.pdf
• Qin Jiushao, Shuxue Jiuzhang, fascicles 5-6 — 20-05 Modern Chinese - Qin - Shuxue Jiuzhang, fasc. 5-6.pdf
• Sunzi, Sunzi Suanjing, classical-modern Chinese — 20-06 Modern Chinese - Sunzi Suanjing.pdf
• Yang Hui, Xiangjie Jiuzhang Suanfa, part 1 — 20-07 Modern Chinese - Yang Hui - Xiangjie, part 1.pdf
• Zhu Shijie, Suanxue Qimeng, part 1 — 20-08 Modern Chinese - Zhu Shijie - Suanxue Qimeng, part 1.pdf

Arabic translation draft:

• Sunzi, Sunzi Suanjing, Arabic translation — 30-01 Arabic Translation - Sunzi Suanjing.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

Workflow provenance: ChatGPT web is used to identify and prioritize older public-domain or otherwise suitable mathematical works; readers are welcome to suggest better scans or missing texts. Codex downloads, indexes, audits, organizes, and publishes the public releases through the Zenodo API. Large-scale transcription systems convert scans into TeX; ChatGPT Pro/web review checks, repairs, and translates the resulting TeX. This release is machine-assisted draft work for checking and continuation, not a proofed critical edition.