抽象代数

学习材料

教科书

[1] 屈婉玲, 曹永知, 耿素云, and 张立昂, 离散数学, 3rd ed. in 普通高等教育“十一五”国家级规划教材. 高等教育出版社, 2024. Accessed: May 22, 2025. [Online]. Available: https://www.hep.com.cn/book/show/2d67dc4c-217a-41db-81b2-56bfe7428879

[2] 耿素云, 屈婉玲, and 王捍贫, 离散数学教程. in 高等教育精品教材. 北京: 北京大学出版社, 2002.

[3] 丘维声, 近世代数. in 大学生基础课教材. 北京大学出版社, 2015. Accessed: May 07, 2026. [Online]. Available: https://book.douban.com/subject/26368286

[4] J. A. Beachy and W. D. Blair, Abstract Algebra, 4th ed. Long Grove, IL: Waveland Press, Inc., 2019. Accessed: May 07, 2026. [Online]. Available: https://www.waveland.com/browse.php?t=477

[5] T. W. Judson, Abstract Algebra: Theory and Applications. Orthogonal Publishing L3C, 2025. Accessed: May 13, 2026. [Online]. Available: https://judsonbooks.org/abstract-algebra-theory-and-applications/

公开课

[1] 北京大学. 离散数学（全）-北京大学, (May 24, 2018). Accessed: May 07, 2026. [Online Video]. Available: https://www.bilibili.com/video/BV1BW411n7gw

习题集

[1] 屈婉玲, 耿素云, 王捍贫, and 刘田, 离散数学习题解析. 北京: 北京大学出版社, 2008.

[2] 屈婉玲, 曹永知, 耿素云, and 张立昂, 离散数学学习指导与习题解析, 3rd ed. in 普通高等教育“十一五”国家级规划教材配套参考书. 高等教育出版社, 2024. Accessed: May 22, 2025. [Online]. Available: https://www.hep.com.cn/book/show/14b2a634-b12a-41f3-ba25-31ca845f4429

其它参考

[1] 席南华, 基础代数, vol. 3, 3 vols. 北京: 科学出版社, 2021. Accessed: May 06, 2026. [Online]. Available: https://www.ecsponline.com/goods.php?id=210418

[2] 冯克勤, 李尚志, and 章璞, 近世代数引论, 4th ed. in 中国科学技术大学精品教材. 合肥: 中国科学技术大学出版社, 2018. Accessed: May 11, 2026. [Online]. Available: https://book.douban.com/subject/30743397/

[3] Костри́кин А. И., 代数学引论, 郭文彬, Tran., 2nd ed., vol. 3, 3 vols. in 俄罗斯数学教材选译. 北京: 高等教育出版社, 2013. Accessed: May 06, 2026. [Online]. Available: https://www.hep.com.cn/book/show/382e155b-780c-4a62-b7a6-8c5e08767613

[4] 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

[5] D. S. Dummit and R. M. Foote, Abstract Algebra, 3rd ed. Wiley, 2003. Accessed: May 07, 2026. [Online]. Available: https://www.wiley.com/en-us/Abstract+Algebra%2C+3rd+Edition-p-9780471433347

[6] S. Lang, Undergraduate Algebra, 3rd ed. in Undergraduate Texts in Mathematics. New York, NY: Springer, 2006. doi: 10.1007/0-387-27475-8.

[7] S. Lang, Algebra, 3rd ed. in Graduate Texts in Mathematics, no. 211. New York, NY: Springer, 2012. doi: 10.1007/978-1-4613-0041-0.