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计算机科学急救指南v2026.0.0

复变函数

学习材料

Section titled “学习材料”

参考资料

Section titled “参考资料”

中文

Section titled “中文”
  1. [1]
    史济怀 and 刘太顺, 复变函数, 1st ed. 安徽省 合肥市: 中国科学技术大学出版社, 1998. Accessed: Oct. 06, 2026. [平装]. Available: https://book.douban.com/subject/4860746/
    其它链接：
  2. [2]
    龚昇, 简明复分析, 2nd ed. in 中国科学技术大学精品教材. 安徽省 合肥市: 中国科学技术大学出版社, 2009. Accessed: Oct. 06, 2026. [平装]. Available: https://book.douban.com/subject/3797737/
    其它链接：

英文

Section titled “英文”
  1. [3]
    E. B. Saff and A. D. Snider, Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd ed. Harlow: Pearson Education Limited, 2013. Accessed: Oct. 05, 2026. [Paperback]. Available: https://www.pearson.com/en-gb/subject-catalog/p/fundamentals-of-complex-analysis-with-applications-to-engineering-science-and-mathematics-pearson-new-international-edition/P200000005641/9781292023755
  2. [4]
    J. W. Brown and R. V. Churchill, Complex Variables and Applications, 9th ed. in Churchill-Brown series. New York: McGraw-Hill Education, 2013. Accessed: Oct. 05, 2026. [Paperback]. Available: https://www.mheducation.co.uk/complex-variables-and-applications-9781259072772-emea
    其它链接：
  3. [5]
    T. Needham, Visual Complex Analysis, 25th Anniversary Edition. Oxford: Oxford University Press, 2023. doi: 10.1093/oso/9780192868916.001.0001.
  4. [6]
    M. J. Ablowitz and A. S. Fokas, Complex Variables: Introduction and Applications, 2nd ed. in Cambridge Texts in Applied Mathematics, no. 35. Cambridge: Cambridge University Press, 2003. Accessed: Oct. 05, 2026. [Paperback]. Available: https://www.cambridge.org/core/books/complex-variables/08A62E6DB03F5D5435F5DE6260618002
    其它链接：
  5. [7]
    E. M. Stein and R. Shakarchi, Complex Analysis. in Princeton Lectures in Analysis, no. 2. Princeton, NJ: Princeton University Press, 2003. [Hardcover]. Available: https://press.princeton.edu/books/hardcover/9780691113852/complex-analysis
  6. [8]
    S. Lang, Complex Analysis, 4th ed. in Graduate Texts in Mathematics, no. 103. New York, NY: Springer New York, 2013. doi: 10.1007/978-1-4757-3083-8.
  7. [9]
    R. W. Howell and J. H. Mathews, Complex Analysis. 2025. Accessed: Oct. 05, 2026. [Online and PDF]. Available: https://complexanalysis.org/
    免费资源：
  8. [10]
    M. Beck, G. Marchesi, D. Pixton, and L. Sabalka, A First Course in Complex Analysis. (Aug. 2025). Accessed: Oct. 05, 2026. [Online and PDF]. Available: https://matthbeck.github.io/complex.html
    免费资源：
  9. [11]
    G. Cain, Complex Analysis. 2009. Accessed: Oct. 05, 2026. [Chapter PDFs]. Available: https://cain.math.gatech.edu/winter99/complex.html
    免费资源：
  10. [12]
    M. E. Taylor, Introduction to Complex Analysis. Accessed: Oct. 05, 2026. [Author PDF]. Available: https://mtaylor.web.unc.edu/notes/complex-analysis-course/
    免费资源：
  11. [13]
    J. Lebl, Guide to Cultivating Complex Analysis: Working the Complex Field. (Jul. 11, 2026). Accessed: Oct. 05, 2026. [PDF]. Available: https://www.jirka.org/ca/
    免费资源：
    • PDF (CC-BY-SA-4.0 OR CC-BY-NC-SA-4.0)
  12. [14]
    D. Romik, Topics in Complex Analysis. in De Gruyter Textbook. Berlin/Boston: De Gruyter, 2023. doi: 10.1515/9783110796810.
    免费资源：
  13. [15]
    J. Orloff, “Complex Variables with Applications: Lecture Notes.” Massachusetts Institute of Technology, Cambridge, MA, 2018. Accessed: Oct. 05, 2026. [Chapter PDFs]. Available: https://ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/pages/lecture-notes/
  14. [16]
    J. C. Ponce Campuzano, Complex Analysis: A Visual and Interactive Introduction. 2019. Accessed: Oct. 05, 2026. [Online]. Available: https://complex-analysis.com/
    其它链接：
    免费资源：