Modern LaTeX Editions of Public-Domain Mathematics Manuscripts

This record is the public front page for an ongoing open project to produce modern, inspectable LaTeX editions and translations of older mathematics and physics manuscripts. Public-domain scans and source/reference materials are collected, transcribed into TeX, checked into readable PDFs, organized by author/work or coherent corpus, and published with source artifacts so readers can inspect, correct, fork, and continue the work. Current project map. Main corpus and bulk preservation record: [##########] 100/100 this landing record remains the broad cumulative surface, with reader PDFs, artifact ZIPs, manifests, and full-repository preservation material. Latest version: this Zenodo record page; concept DOI: 10.5281/zenodo.20393488; earlier broad cumulative record: 10.5281/zenodo.20410262. EGA working English translation and source package: [###-------] 30/100 toward complete translated/proofread EGA; [##########] French originals present EGA I-II are largely inherited from the community translation; current project additions include EGA 0_IV sections 15 through 23 and EGA IV sections 1 through 21 as substantive working translations. The latest EGA update refreshes the compiled reader after newer EGA IV continuation edits. The current English reader is a 979-page working PDF, with all eight NUMDAM French originals included separately as direct top-level PDFs and TeX/source packets in ZIP artifacts. Current record: 10.5281/zenodo.20440845. SGA working English translation: [#####-----] corpus-wide working translation; SGA 4 is the largest current compiled reader; SGA 5-7 are active partial assemblies Current SGA record with coherent cumulative readers and source artifacts. Top-level readers include SGA 1-3 English/source snapshots, SGA 4 as a 484-page current working reader, SGA 5 as a 133-page current working draft from available segments, SGA 6 as a 231-page current working draft, SGA 7-I as a 106-page current working draft, and a separate 50-page SGA 7-I continuation through Expose IX section 6.6. French reference PDFs for SGA 1-7 remain included for checking. Current record: 10.5281/zenodo.20441206. Non-European and multilingual mathematical manuscripts: [#########-] working multilingual release with targeted al-Kashi/al-Khwarizmi repairs; broader corpus expansion continues Consolidated release for Chinese, Indian/Sanskrit, Islamic/Arabic, and historical-reference mathematical works, organized as combined reader PDFs, direct work-level PDFs, source/provenance/audit ZIP artifacts, and a public JSON summary. The latest update promotes five targeted al-Kashi and al-Khwarizmi reader replacements from a font/render repair pass, while holding other Arabic/transliteration components for further repair rather than certifying them prematurely. Current record: 10.5281/zenodo.20441309. Chinese mathematical classics: [########--] 80/100 focused corpus slice for Chinese mathematical works including Jiuzhang Suanshu / Nine Chapters, Li Ye, Qin Jiushao, Sunzi, Yang Hui, and Zhu Shijie material, with language-separated readers and source artifacts. Current record: 10.5281/zenodo.20435670. Indian and Sanskrit mathematical classics: [########--] 80/100 focused corpus slice for Aryabhata, Bhaskara II, Brahmagupta, and related Sanskrit/Indian mathematical works, with original-language drafts, translations, and source artifacts. Current record: 10.5281/zenodo.20435677. Islamic and Arabic mathematical texts: [########--] 80/100 focused corpus slice for al-Kashi, al-Khwarizmi, al-Tusi, Omar Khayyam, Robert of Chester/Karpinski, Rosen, Ruska, and related Arabic/Islamic mathematical works, with original-language drafts, translations, and source artifacts. Current record: 10.5281/zenodo.20435687. Historical reference texts for non-European mathematics: [#######---] 70/100 focused reference slice for Said al-Andalusi, al-Muqaddasi, Ibn al-Nadim, Ibn al-Qifti, Smith-Karpinski, and related contextual reference texts used for terminology and historical comparison. Current record: 10.5281/zenodo.20435690. Heinrich Weber: [########--] 80/100 author page with original-language modern LaTeX readers for Lehrbuch der Algebra Volumes I and III, plus English translation drafts. The current Volume II English reader runs through section 194, with the next continuation point at section 195. A separate Volume I English draft is also included, along with TeX sources, component PDFs, rendered translation pieces, and provenance in the artifact ZIP. Current record: 10.5281/zenodo.20441673. Emmy Noether: [########--] 80/100 author page with a selected mathematical-papers modern LaTeX draft and a current English translation reader of 261 pages. The translated material includes invariant theory, finite-group invariant theorems, rational representation of invariants, absolute irreducibility, formal variational calculus, polynomial ideals and resultants, elimination theory, abstract ideal theory, Hilbert numbers, group characters, hypercomplex quantities, the principal genus theorem, split crossed products and maximal orders, ideal differentiation and the different, cyclic applications, and the Kapferer/Noether algebraic-functions multiplicity continuation. Current record: 10.5281/zenodo.20441640. Deligne papers: [######----] 60/100 dedicated record for Deligne paper PDFs and working translation/source material, kept separate so it can be revised or removed independently if needed. Current clean record: 10.5281/zenodo.20414959. Carl Friedrich Gauss: [########--] 80/100 for currently assembled reader drafts; broader Werke completion continues author page for selected Werke volumes and an individual-papers grouping as modern LaTeX working drafts. The clean author record has eight direct reader PDFs: Bands I, I alternate, II, III, VI, VII, XI Part I, and individual papers, plus TeX/source/component/audit artifacts in a ZIP. Current record: 10.5281/zenodo.20433382. Bernhard Riemann: [#######---] 70/100 author page for selected mathematical papers and a broader Gesammelte Werke complete-draft reader, with TeX/source/provenance artifacts. Current record: 10.5281/zenodo.20434317. Cayley, Dedekind, and Dirichlet: classical algebra and arithmetic shelf: [########--] 80/100 for Cayley per-volume reader availability; broader proofreading continues focused shelf for modern LaTeX working drafts by Cayley, Dedekind, and Dirichlet. The latest update replaces the broken Cayley surface with clean per-volume reader PDFs for front matter and Volumes I-VII and IX-XIII, preserving TeX sources and audit notes in the artifact ZIP. Volume VIII and two internal Cayley gaps remain explicit repair targets. Gauss, Weber, and Noether have separate author records and are no longer duplicated here. Current record: 10.5281/zenodo.20441561. Minkowski, Hecke, Landau, Steinitz, Hensel, Oka, Hausdorff, Grassmann, and Killing: [######----] 60/100 author-cluster record for cleaner reader PDFs and source/provenance artifacts; duplicate/mislabelled surface material consolidated and reader PDFs organized for direct browsing. Current record: 10.5281/zenodo.20416839. Workflow provenance. Review sessions identify and prioritize older public-domain or otherwise suitable works for transcription and translation; readers are welcome to suggest works or point to better public PDFs/scans. Local archive tooling downloads and indexes scans and source packets, prepares working folders, audits files, organizes public releases, and publishes through the Zenodo API. Large-scale machine-assisted transcription systems convert scans to TeX drafts, which are preserved as source/provenance artifacts. Review passes check, repair, and translate the TeX. Public organization is by author, work, or coherent corpus; reader-facing files use author/work/corpus titles, while provenance archives preserve source material for reconstruction. Full repository preservation update. The current working inputs and source packets are included directly on this already-linked original/main record as ten chunked ZIP files, plus a manifest and README. There is no separate public raw-source DOI. These are provenance/backstop files for reconstruction and continuation; the reader-facing records remain organized by author or corpus. File organization. Top-level PDFs are reader-facing files intended for browsing and direct download. ZIP files contain TeX/source material, source scans or reference material where appropriate, OCR text, provenance, manifests, audit outputs, and repair queues. Records are being split by author or coherent corpus while this main record remains the single landing page and bulk preservation surface. Coherence note. Redundant records are being handled conservatively: cleaner author/corpus pages become the recommended public entry points, while older broad shelves are retained as preservation surfaces until their contents are fully superseded, checked, and linked. This avoids losing work while making the front-facing archive progressively easier to browse. Quality note. These are working scholarly drafts, not final critical editions. Technical PDF audits check whether files open and extract text; they do not prove mathematical correctness. Some drafts still need layout repair, source comparison, theorem-number checking, and human proofreading. Availability is preserved while cleaner organized versions are built.本记录为一项持续进行的开源项目的公开主页，该项目旨在对老旧数学与物理学手稿制作可检视的现代LaTeX版本及译本。项目收集公有领域的扫描件与源/参考材料，将其转录为TeX格式，编译为可读的PDF文档，按作者/作品或连贯语料库进行组织，并附带源工件公开发布，以便读者检视、修正、复刻并延续该项目工作。 当前项目总览。 主语料库与批量存档记录：[##########] 100/100 本主页记录仍为整体累积的公开入口，包含读者用PDF、工件ZIP压缩包、清单文件与完整仓库存档材料。最新版本：本Zenodo记录页面；概念DOI：10.5281/zenodo.20393488；早期整体累积记录：10.5281/zenodo.20410262。 EGA英文译制与源包工作：[###-------] 30/100 推进至完整译校版EGA；[##########] 法语原版已收录，其中EGA I-II主要沿用社区译制成果；当前项目新增内容包括EGA 0_IV第15至23节与EGA IV第1至21节的实质性译制文稿。最新EGA更新会在EGA IV续编修订后刷新编译完成的读者版PDF。当前英文读者版为979页的工作文稿PDF，同时将全部8份NUMDAM平台的法语原版作为顶级独立PDF与TeX/源数据包分别收录于ZIP工件中。本记录对应的DOI：10.5281/zenodo.20440845。 SGA英文译制工作：[#####-----] 全语料库级译制工作；SGA 4为当前编译完成的最大体量读者版；SGA 5-7处于部分汇编的活跃阶段。当前SGA记录包含连贯累积的读者版与源工件。顶级读者版包括SGA 1-3的英文/源快照、484页的SGA 4当前工作读者版、基于现有章节汇编的133页SGA 5当前工作草稿、231页SGA 6当前工作草稿、106页SGA 7-I当前工作草稿，以及一份单独的50页SGA 7-I续编文稿（至报告IX第6.6节）。同时附带SGA 1-7的法语参考PDF以供校勘。本记录对应的DOI：10.5281/zenodo.20441206。 非欧洲语系与多语言数学手稿项目：[#########-] 多语言发布工作正推进针对al-Kashi（卡西）与al-Khwarizmi（花拉子米）文稿的针对性修复；项目正持续拓展语料库规模。本次整合发布涵盖中文、印度/梵语、伊斯兰/阿拉伯语及历史参考类数学著作，按合并读者版PDF、独立作品级PDF、源/存档/审计ZIP工件与公开JSON摘要进行组织。最新更新已通过字体与渲染修复流程，替换了5份针对卡西与花拉子米文稿的读者版，其余阿拉伯语/转写组件仍需进一步修复，暂不提前认证。本记录对应的DOI：10.5281/zenodo.20441309。 中国数学经典：[########--] 80/100 聚焦中文数学著作的语料库切片，涵盖《九章算术》（Jiuzhang Suanshu / Nine Chapters）、李冶、秦九韶、孙子、杨辉与朱世杰相关文稿，附带分语言读者版与源工件。本记录对应的DOI：10.5281/zenodo.20435670。 印度与梵语数学经典：[########--] 80/100 聚焦阿耶波多（Aryabhata）、婆什迦罗二世（Bhaskara II）、婆罗摩笈多（Brahmagupta）及相关梵语/印度数学著作的语料库切片，附带原语言草稿、译本与源工件。本记录对应的DOI：10.5281/zenodo.20435677。 伊斯兰与阿拉伯数学文本：[########--] 80/100 聚焦卡西（al-Kashi）、花拉子米（al-Khwarizmi）、图西（al-Tusi）、奥马尔·海亚姆（Omar Khayyam）、切斯特的罗伯特（Robert of Chester）/卡尔平斯基（Karpinski）、罗森（Rosen）、鲁斯卡（Ruska）及相关阿拉伯/伊斯兰数学著作的语料库切片，附带原语言草稿、译本与源工件。本记录对应的DOI：10.5281/zenodo.20435687。 非欧洲数学历史参考文本：[#######---] 70/100 聚焦赛义德·安达卢西（Said al-Andalusi）、穆卡达西（al-Muqaddasi）、伊本·纳迪姆（Ibn al-Nadim）、伊本·吉夫蒂（Ibn al-Qifti）、史密斯-卡尔平斯基（Smith-Karpinski）及相关用于术语与历史对比的语境参考文本的语料库切片。本记录对应的DOI：10.5281/zenodo.20435690。 海因里希·韦伯（Heinrich Weber）：[########--] 80/100 作者主页，包含《代数教程》（Lehrbuch der Algebra）第一与第三卷的原语言现代LaTeX读者版，以及英文译稿草稿。当前第二卷英文读者版已完成至第194节，后续续编起点为第195节。同时附带一份独立的第一卷英文译稿草稿，以及ZIP工件中包含的TeX源文件、组件PDF、编译完成的译稿片段与存档溯源信息。本记录对应的DOI：10.5281/zenodo.20441673。 埃米·诺特（Emmy Noether）：[########--] 80/100 作者主页，包含其精选数学论文的现代LaTeX草稿与一份261页的当前英文译版读者版。译制内容涵盖不变量理论、有限群不变量定理、不变量的有理表示、绝对不可约性、形式变分演算、多项式理想与结式、消元理论、抽象理想理论、希尔伯特数、群特征标、超复数量、主亏格定理、可分裂交叉积与极大阶、理想微分与差积、循环应用，以及卡普费雷尔/诺特代数函数重数续编文稿。本记录对应的DOI：10.5281/zenodo.20441640。 德利涅论文集（Deligne papers）：[######----] 60/100 专门收录德利涅论文PDF与译制/源材料的记录，该记录独立保存以便按需修订或移除。当前正式记录对应的DOI：10.5281/zenodo.20414959。 卡尔·弗里德里希·高斯（Carl Friedrich Gauss）：[########--] 80/100 已完成当前读者版草稿汇编的作者页面；《高斯全集》（Werke）的完整整理工作仍在推进，本页面包含精选卷次与单篇论文的现代LaTeX工作草稿。当前整洁的作者记录包含8份独立读者版PDF：第I卷、第I卷副卷、第II卷、第III卷、第VI卷、第VII卷、第XI卷第一部分，以及单篇论文集，同时ZIP工件中包含TeX/源/组件/审计文件。本记录对应的DOI：10.5281/zenodo.20433382。 伯恩哈德·黎曼（Bernhard Riemann）：[#######---] 70/100 作者主页，包含其精选数学论文与完整的《黎曼全集》（Gesammelte Werke）草稿读者版，附带TeX/源/存档工件。本记录对应的DOI：10.5281/zenodo.20434317。 凯莱、戴德金与狄利克雷：经典代数与算术合集：[########--] 80/100 已实现凯莱各卷读者版可用；校对工作仍在推进，本合集收录凯莱、戴德金与狄利克雷的现代LaTeX工作草稿。最新更新已修复损坏的凯莱主页，为其前言及第I-VII、IX-XIII卷提供整洁的分卷读者版PDF，并在ZIP工件中保留TeX源文件与审计笔记。第VIII卷与凯莱文稿中的两处内部空白仍为明确的修复目标。高斯、韦伯与诺特已拥有独立的作者记录，不再在此重复收录。本记录对应的DOI：10.5281/zenodo.20441561。 闵可夫斯基、赫克、朗道、施泰因茨、亨塞尔、冈洁、豪斯多夫、格拉斯曼与基灵：[######----] 60/100 作者集群记录，旨在提供更整洁的读者版PDF与源/存档工件；已整合重复/标注错误的页面材料，并按直接浏览需求组织读者版PDF。本记录对应的DOI：10.5281/zenodo.20416839。 工作流程溯源。评审会议会筛选并优先处理老旧公有领域或其他符合要求的著作，开展转录与译制工作；欢迎读者推荐著作或提供更优质的公有PDF/扫描件。本地存档工具会下载并索引扫描件与源数据包，创建工作文件夹、审计文件、组织公开发布内容，并通过Zenodo API发布成果。大规模机器辅助转录系统可将扫描件转换为TeX草稿，此类草稿将作为源/存档工件保存。评审流程会对TeX文件进行检查、修复与译制。公开内容按作者、作品或连贯语料库进行组织；面向读者的文件采用作者/作品/语料库标题，而存档溯源文件则保留源材料以支持重建工作。 完整仓库存档更新。当前工作输入与源数据包已作为10个分块ZIP压缩包、一份清单文件与README文档，直接收录于本已关联的原始/主记录中，无单独的公开原始源DOI。此类文件为用于重建与延续工作的存档/备份文件；面向读者的记录仍按作者或语料库进行组织。 文件组织。顶级PDF文件为面向读者的浏览与直接下载文件。ZIP压缩包包含TeX/源材料、适当情况下的源扫描件或参考材料、OCR文本、存档溯源信息、清单文件、审计输出与修复队列。当前主记录仍为单一主页与批量存档入口，相关记录正按作者或连贯语料库进行拆分。 一致性说明。冗余记录将被谨慎处理：更整洁的作者/语料库页面将作为推荐的公开入口，而老旧的整体合集页面将保留作为存档入口，直至其内容被完全替代、校验并关联。此举可避免工作成果丢失，同时逐步提升公开存档的浏览便捷性。 质量说明。本项目成果为学术工作草稿，而非最终审定版。技术PDF审计仅检查文件能否打开并提取文本，无法验证数学内容的正确性。部分草稿仍需进行版式修复、源文件比对、定理编号校验与人工校对。在构建更整洁的组织化版本的同时，保留现有内容的可访问性。