线性代数 I
[1] 蓝以中, 高等代数简明教程, 3rd ed., vol. 1, 2 vols. in 北京大学数学教学系列丛书. 北京: 北京大学出版社, 2023. Accessed: May 05, 2026. [Online]. Available: https://book.douban.com/subject/36521986
[2] 丘维声, 简明线性代数, 2nd ed. in 普通高等教育十一五国家级规划教材. 北京: 北京大学出版社, 2024. Accessed: May 06, 2026. [Online]. Available: https://book.douban.com/subject/37101517/
[3] 丘维声, 高等代数, 1st ed., vol. 1, 2 vols. 北京: 清华大学出版社, 2010. Accessed: May 05, 2026. [Online]. Available: https://www.tup.com.cn/booksCenter/book_03258601.html
[4] 丘维声, 高等代数, 2nd ed., vol. 1, 2 vols. 北京: 清华大学出版社, 2019. Accessed: May 05, 2026. [Online]. Available: https://www.tup.com.cn/booksCenter/book_07292403.html
[5] 丘维声, 高等代数学习指导书, 2nd ed., vol. 1, 2 vols. 北京: 清华大学出版社, 2017. Accessed: May 05, 2026. [Online]. Available: https://www.tup.com.cn/booksCenter/book_05702703.html
[6] 陈发来, 王新茂, 陈效群, and 李思敏, 线性代数 I. 北京: 高等教育出版社, 2026. Accessed: May 06, 2026. [Online]. Available: https://www.hep.com.cn/book/show/ee16c973-3251-4641-a183-0eaac5d19b0c
[7] 陈发来, 陈效群, 李思敏, and 王新茂, 线性代数与解析几何, 2nd ed. 高等教育出版社, 2015. Accessed: May 06, 2026. [Online]. Available: https://team.ustc.edu.cn/Chen_Reaserch_Lab/en/zzcg/1025606/content/3661.htm
[8] 姚慕生, 吴泉水, and 谢启鸿, 高等代数学, 3rd ed. in 普通高等教育“十二五”国家级规划教材. 复旦大学出版社, 2014. Accessed: May 11, 2026. [Online]. Available: https://www.fudanpress.com/505429541603282944/detail/book?bookId=382947&bookIdentifier=7829146863320f&company_id=569&company_identifier=2959846655452a&navGuid=505756482248159232
[9] 姚慕生 and 谢启鸿, 高等代数, 3rd ed. 复旦大学出版社, 2015. Accessed: May 11, 2026. [Online]. Available: https://www.fudanpress.com/505429541603282944/detail/book?bookId=383616&bookIdentifier=7410686863349d&company_id=569&company_identifier=2959846655452a&navGuid=505756482248159232
[10] 谢启鸿, 姚慕生, and 吴泉水, 高等代数学, 4th ed. in 普通高等教育“十二五”国家级规划教材. 复旦大学出版社, 2022. Accessed: May 11, 2026. [Online]. Available: https://www.fudanpress.com/505429541603282944/detail/book?bookId=387892&bookIdentifier=352220686345d7&company_id=569&company_identifier=2959846655452a&navGuid=505756482248159232
[11] 谢启鸿 and 姚慕生, 高等代数, 4th ed. 复旦大学出版社, 2022. Accessed: May 11, 2026. [Online]. Available: https://www.fudanpress.com/505429541603282944/detail/book?bookId=387893&bookIdentifier=550759686345d8&company_id=569&company_identifier=2959846655452a&navGuid=505756482248159232
[12] W. G. Strang, Introduction to Linear Algebra, 6th ed. Wellesley-Cambridge Press, 2023. Accessed: May 05, 2026. [Online]. Available: https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html
[13] D. C. Lay, S. R. Lay, and J. J. McDonald, Linear Algebra and Its Applications, Global Edition, 6th ed. Pearson, 2021. Accessed: May 06, 2026. [Online]. Available: https://www.pearson.com/en-gb/subject-catalog/p/linear-algebra-and-its-applications-global-edition/P200000004712/9781292351216
[14] S. R. Treil, Linear Algebra Done Wrong. 2026. Accessed: May 05, 2026. [Online]. Available: https://www.math.brown.edu/streil/papers/LADW/HTML_2026_04-30/LADW_2026_04-30.html
[15] D. Margalit and J. Rabinoff, Interactive Linear Algebra. Georgia Institute of Technology, 2019. Accessed: May 05, 2026. [Online]. Available: https://textbooks.math.gatech.edu/ila/
[16] T. S. Shores, Applied Linear Algebra and Matrix Analysis, 2nd ed. in Undergraduate Texts in Mathematics. Cham: Springer, 2018. doi: 10.1007/978-3-319-74748-4.
[17] E. B. Saff and A. D. Snider, Matrix Fundamentals, 2nd ed. in Springer Undergraduate Mathematics Series. Cham: Springer, 2025. doi: 10.1007/978-3-031-97222-5.
[18] S. J. Leon and L. G. de Pillis, Linear Algebra with Applications, Global Edition, 10th ed. Pearson, 2021. Accessed: May 07, 2026. [Online]. Available: https://www.pearson.com/en-gb/subject-catalog/p/linear-algebra-with-applications-global-edition/P200000004727/9781292354873
基础必修课《线性代数I》的基准难度是:不低于 D. C. Lay et al., Linear Algebra and Its Applications[13]。
[1] 清华大学. 北大丘维声教授清华高等代数课程1080P高清修复版(全151集). Accessed: May 05, 2026. [Online Video]. Available: https://www.bilibili.com/video/BV1jR4y1M78W
[2] 中国科大少年班学院, 高等数学《线性代数B1》 【中科大少年班精品课】 陈发来教授(51讲), (Mar. 08, 2022). Accessed: May 06, 2026. [Online Video]. Available: https://www.bilibili.com/video/BV1WF411b7EW
[3] 谢启鸿, 复旦大学. 【数学专业课】高等代数学-复旦大学-谢启鸿-高清, (Dec. 14, 2019). Accessed: May 11, 2026. [Online Video]. Available: https://www.bilibili.com/video/BV1mJ411r7ZB/
[1] 李炯生, 查建国, and 王新茂, 线性代数, 2nd ed. in 中国科学技术大学精品教材. 安徽 合肥: 中国科学技术大学出版社, 2010. Accessed: May 06, 2026. [Online]. Available: https://book.douban.com/subject/4200433/
[2] 席南华, 基础代数, vol. 1, 3 vols. 北京: 科学出版社, 2016. Accessed: May 06, 2026. [Online]. Available: https://www.ecsponline.com/goods.php?id=172616
[3] 李尚志, 线性代数(数学专业用). in “十五”国家规划教材. 北京: 高等教育出版社, 2006. Accessed: May 06, 2026. [Online]. Available: https://www.hep.com.cn/book/show/9b998ecf-0298-4031-8d38-fa5e9187cbb3
[4] 李尚志, 线性代数学习指导. in 高校核心课程学习指导丛书. 合肥: 中国科学技术大学出版社, 2015. Accessed: May 06, 2026. [Online]. Available: https://book.douban.com/subject/26390093
[5] 张贤科 and 许甫华, 高等代数学, 2nd ed. 北京: 清华大学出版社, 2004. Accessed: May 11, 2026. [Online]. Available: https://www.tup.com.cn/booksCenter/book_00937505.html
[6] 张贤科, 高等线性代数. 北京: 高等教育出版社, 2012. Accessed: May 11, 2026. [Online]. Available: https://www.hep.com.cn/book/show/327efefa-8d7a-44af-83a1-a08c18e1421d
[7] S. Lang, Linear Algebra, 3rd ed. in Undergraduate Texts in Mathematics. New York, NY: Springer, 2013. doi: 10.1007/978-1-4757-1949-9.
[8] M. Artin, Algebra, 2nd ed. Pearson, 2014. Accessed: May 06, 2026. [Online]. Available: https://www.amazon.com/Algebra-Michael-Artin-ebook/dp/B00HR7MSZO Note: Kindle Edition
[9] 任广千, 谢聪, and 胡翠芳, 线性代数的几何意义. 西安: 西安电子科技大学出版社, 2015. Accessed: May 06, 2026. [Online]. Available: https://www.xduph.com/Pages/BookDetail.aspx?doi=13bc748f-fbb6-426a-9a59-1cab34fa991e
[10] Костри́кин А. И., 代数学引论, 张英伯, Tran., 2nd ed., vol. 1, 3 vols. in 俄罗斯数学教材选译. 北京: 高等教育出版社, 2012. Accessed: May 06, 2026. [Online]. Available: https://www.hep.com.cn/book/show/90bd601a-aa3e-4d5a-b70c-c31269cb9fb4
[11] Костри́кин А. И., 代数学习题集, 丘维声, Tran., 4th ed. in 俄罗斯数学教材选译. 北京: 高等教育出版社, 2018. Accessed: May 06, 2026. [Online]. Available: https://www.hep.com.cn/book/show/df4ba4fe-893d-4400-888e-311125e975a4
[12] 分析学爱好者, 我为什么推荐你使用丘维声学习高等代数, (Sep. 23, 2025). Accessed: May 05, 2026. [Online Video]. Available: https://www.bilibili.com/video/BV1kkJyzcE4q