There is a newer version of the record available.

Published May 29, 2026 | Version 2026-05-29 multilingual non-European release with targeted layout and reader-surface repairs

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

  • 1. Independent

Description

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.

Status at a glance.

  • Reader surface: [##########] 66 top-level PDFs: combined readers, work-level translation drafts, original-language modern LaTeX drafts, and reference scans/texts.
  • Editable sources: [##########] 214 TeX files plus component PDFs, OCR/review notes, page-image working material, source PDFs, and provenance packets in ZIP artifacts.
  • Latest quality refresh: [#########-] five al-Kashi/al-Khwarizmi work-level PDFs were promoted from a targeted font/render repair pass; other Arabic/transliteration components remain held for repair.
  • Proofreading/final edition status: [----------] working drafts for checking and continuation, not certified critical editions.

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the index and combined readers first, followed by work-level translation readers, original-language readers, and historical reference readers. ZIP files contain TeX/source material, source PDFs or scans where appropriate, OCR text, page images, review notes, manifests, audit outputs, and provenance packets.

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 transliteration and commentary — 30-05 Arabic Transliteration and Commentary - 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

Historical reference 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
  • Frederic Rosen, Algebra of Mohammed Ben Musa (1831) — 60-06 Reference Scan - Rosen - Algebra of Mohammed Ben Musa (1831).pdf
  • Robert of Chester and Louis Karpinski, Latin translation of al-Khwarizmi (1915) — 60-07 Reference Scan - Robert of Chester and Karpinski (1915).pdf

Latest targeted layout repair. Five work-level PDFs have been promoted from a targeted layout repair pass: al-Khwarizmi in English translation and source-facing forms, Robert of Chester/Karpinski, Rosen's Algebra of Mohammed Ben Musa, and Smith-Karpinski's Numerals. Earlier drafts of the replaced PDFs are preserved in the audit artifact ZIP; combined readers are unchanged until the remaining held components are repaired.

Latest reader-surface repair. Affected public PDFs have also been redacted to remove visible TeX/control-markup fragments from the rendered page surface. The superseded reader drafts are preserved in the audit artifact ZIP.

Workflow. Source scans and reference texts 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.

Notes

Current non-European/multilingual corpus record. Latest update promotes targeted layout repairs, redacts visible TeX/control-markup fragments from affected reader PDFs, preserves superseded reader drafts in ZIP artifacts, and keeps combined readers otherwise unchanged pending component repairs.

Files

00 Index - Non-European Mathematics Corpus.pdf

Files (4.3 GB)

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