微积分
[1] R. A. Adams and C. Essex, Calculus: A Complete Course, 10th ed. Toronto, ON: Pearson, 2021. Accessed: Apr. 02, 2026. [Online]. Available: https://www.pearson.com/en-ca/subject-catalog/p/calculus-a-complete-course/P200000002479/9780135766781 Note: Printed ver 9780135732588 [2] 龚昇, 简明微积分, 4th ed. in 普通高等教育“十五”国家级规划教材. 北京: 高等教育出版社, 2006. Accessed: Apr. 02, 2026. [Online]. Available: https://book.douban.com/subject/2025549/ [3] T. M. Apostol, CALCULUS VOLUME I: One-Variable Calculus, with an Introductino to Linear Algebra, 2nd ed., vol. 1. US: John Wiley & Sons, Inc., 1967. Accessed: Apr. 03, 2026. [Online]. Available: https://www.wiley.com/en-us/Calculus%2C+Volume+1%2C+2nd+Edition-p-9781119496731 [4] T. M. Apostol, CALCULUS VOLUME II: Multi Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability, 2nd ed., vol. 2. US: John Wiley & Sons, Inc., 1969. Accessed: Apr. 03, 2026. [Online]. Available: https://www.wiley.com/en-us/Calculus%2C+Volume+2%2C+2nd+Edition-p-9781119496762
《Calculus: A Complete Course》[1]是首选,此书为多所院校数学系或数学要求较高的理工类专业采用。
T. M. Apostol 著《微积分》两卷[3, 4]主要面向数学系;内容相对较旧(1960 年代出版);线性代数部分可以跳过。