University Mathematics — Year 3

Bachelor Year 3 (Age 20–21)

1. 1 Group Theory 12 道带解答的练习
2. 2 Rings and Arithmetic 12 道带解答的练习
3. 3 Modules over a Principal Ideal Domain 12 道带解答的练习
4. 4 Field Extensions and Galois Theory 12 道带解答的练习
5. 5 Representations of Finite Groups 12 道带解答的练习
6. 6 General Topology 12 道带解答的练习
7. 7 Complete Spaces: Baire, Ascoli, Stone–Weierstrass 12 道带解答的练习
8. 8 Banach Spaces and the Fundamental Theorems 12 道带解答的练习
9. 9 Measure Theory 12 道带解答的练习
10. 10 The Lebesgue Integral 12 道带解答的练习
11. 11 Product Measures, Fubini, Change of Variables 12 道带解答的练习
12. 12 The Lp Spaces 12 道带解答的练习
13. 13 Hilbert Spaces 12 道带解答的练习
14. 14 The Fourier Transform 12 道带解答的练习
15. 15 Compact Operators and the Spectral Theorem 12 道带解答的练习
16. 16 Holomorphic Functions 12 道带解答的练习
17. 17 Laurent Series and the Residue Theorem 12 道带解答的练习
18. 18 Conformal Maps and the Riemann Mapping Theorem 12 道带解答的练习
19. 19 Ordinary Differential Equations 12 道带解答的练习
20. 20 Submanifolds of ℝn 12 道带解答的练习
21. 21 Differential Forms and Stokes’ Theorem 12 道带解答的练习
22. 22 Probability: Foundations and the Law of Large Numbers 12 道带解答的练习
23. 23 Characteristic Functions and the Central Limit Theorem 12 道带解答的练习

共 23 个章节——目前已有 23 个可在线阅读，更多章节正陆续发布。完整的书已经以 可在线阅读的免费 PDF 形式提供。