{"id":28505159,"url":"https://github.com/cactus-proj/mtcas","last_synced_at":"2026-01-30T19:32:56.094Z","repository":{"id":114097513,"uuid":"248129132","full_name":"Cactus-proj/MTCAS","owner":"Cactus-proj","description":"计算机代数系统的数学理论（Mathematica Theory of Computer Algebra System，MTCAS）","archived":false,"fork":false,"pushed_at":"2025-12-01T12:24:15.000Z","size":14434,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2025-12-04T00:35:04.867Z","etag":null,"topics":["cas","computer-algebra-system"],"latest_commit_sha":null,"homepage":"https://cactus-proj.github.io/MTCAS/","language":"TeX","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":"maTHmU/MTCAS","license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/Cactus-proj.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null,"notice":null,"maintainers":null,"copyright":null,"agents":null,"dco":null,"cla":null}},"created_at":"2020-03-18T03:25:04.000Z","updated_at":"2025-12-01T12:23:49.000Z","dependencies_parsed_at":null,"dependency_job_id":"035d4168-9616-459c-a4f0-70c070c55549","html_url":"https://github.com/Cactus-proj/MTCAS","commit_stats":null,"previous_names":[],"tags_count":1,"template":false,"template_full_name":null,"purl":"pkg:github/Cactus-proj/MTCAS","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Cactus-proj%2FMTCAS","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Cactus-proj%2FMTCAS/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Cactus-proj%2FMTCAS/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Cactus-proj%2FMTCAS/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Cactus-proj","download_url":"https://codeload.github.com/Cactus-proj/MTCAS/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Cactus-proj%2FMTCAS/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28918221,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-01-30T19:10:10.838Z","status":"ssl_error","status_checked_at":"2026-01-30T19:06:40.573Z","response_time":66,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.5:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["cas","computer-algebra-system"],"created_at":"2025-06-08T19:06:46.893Z","updated_at":"2026-01-30T19:32:56.088Z","avatar_url":"https://github.com/Cactus-proj.png","language":"TeX","funding_links":[],"categories":[],"sub_categories":[],"readme":"# 计算机代数系统的数学理论\n\n\u003e Mathematica Theory of Computer Algebra System, MTCAS\n\u003e\n\u003e Theory document for maTHmU project. PDF version attached [here](http://mathmu.github.io/MTCAS/mtcas.pdf).\n\n\n## 目录\n\n\u003e 按照 PDF 中目录排序。  \n\u003e 源 `.muse` 文件中不包含 PDF 中的：序、前言和附录A。\n\n1. [高精度运算](muse/Arithmetic.muse)\n1. [素数判定](muse/PrimeTest.muse)\n1. [整数因子分解](muse/IntegerFactorization.muse)\n1. [基础数论算法](muse/NumberTheory.muse)\n1. [数学常数](muse/Constant.muse)\n1. [线性代数](muse/ExactLinearAlgebra.muse)\n1. [一元多项式求值和插值](muse/PolyEval.muse)\n1. [一元多项式的最大公因子](muse/PolyGCD.muse)\n1. [有限域上多项式因子分解](muse/PolyFacZp.muse)\n1. [整系数多项式因子分解](muse/PolyFacZ.muse)\n1. [多元多项式](muse/MultiPoly.muse)\n1. [一元多项式求根算法](muse/FindRoot.muse)\n1. [代数方程组求解](muse/EqSolving.muse)\n1. [符号极限](muse/Limit.muse)\n1. [符号求和](muse/Summation.muse)\n1. [符号积分](muse/Integration.muse)\n1. [微分方程符号解](muse/DifferentialEquation.muse)\n1. [参考文献 (.bib)](main.bib)\n\n\n**PDF 未收录的章节**\n\u003e 按文件名字母序\n\n- [数值线性代数基础](muse/BasicConceptsNLA.muse)\n- [非对称特征值问题](muse/EigenvalueProblem.muse)\n- [初等函数](muse/ElementaryFunction.muse)\n- [线性方程组与Gauss消元法](muse/GaussElimination.muse)\n- [迭代法](muse/IterationMethods.muse)\n- [矩阵函数](muse/MatrixFunction.muse)\n- [矩阵乘法](muse/MatrixMultiplication.muse)\n- [正交化与最小二乘法](muse/QRLS.muse)\n- [特殊线性方程组](muse/SpecialLinearEquation.muse)\n- [对称特征值问题](muse/SymmetricEigenvalueProblem.muse)\n\n\n## 版权\n\n本书已由清华大学出版社出版。\n\n[《计算机代数系统的数学原理》](http://www.tup.tsinghua.edu.cn/booksCenter/book_03490801.html#)\n+ 作者：李超、阮威、张龙、张翔\n+ ISBN：9787302230106\n+ 出版日期：2010.10.01\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fcactus-proj%2Fmtcas","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fcactus-proj%2Fmtcas","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fcactus-proj%2Fmtcas/lists"}