Commit Graph

41 Commits

Author SHA1 Message Date
Bokuan Li
639aa253cf Slightly adjusted notation.
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2026-05-31 23:20:08 -04:00
Bokuan Li
bfa5aee60e Added the holomorphic functional calculus.
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2026-05-31 23:12:15 -04:00
Bokuan Li
73951c9d4c Fixed typo with 1/2pi i. 2026-05-31 20:00:40 -04:00
Bokuan Li
fb8178b7ee Slight wording adjustments. 2026-05-31 15:53:32 -04:00
Bokuan Li
edde66facc Various typo fixes.
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2026-05-30 20:35:32 -04:00
Bokuan Li
0cea712b96 Added Runge's theorem.
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2026-05-30 20:29:17 -04:00
Bokuan Li
eef9ef89b0 Added some notations. 2026-05-28 13:03:41 -04:00
Bokuan Li
02bd8479bc Added path lemma.
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2026-05-27 22:59:06 -04:00
Bokuan Li
5923b45f9d Added Urysohn Metrisation theorem and compactness theorems.
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2026-05-26 19:32:02 -04:00
Bokuan Li
a058df3163 Added more complex analysis. 2026-05-18 18:06:02 -04:00
Bokuan Li
85d1d78bda Added appropriate form of Taylor's formula. 2026-05-18 16:24:43 -04:00
Bokuan Li
3a0e5cc351 Fixed typo.
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2026-05-16 21:49:56 -04:00
Bokuan Li
44d122e052 Added definition of holomorphic functions.
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2026-05-16 21:42:56 -04:00
Bokuan Li
3a8de41020 Added the homotopic version of Cauchy's theorem. 2026-05-15 19:31:39 -04:00
Bokuan Li
6fdf6a64fd Added uniform structures for completely regular spaces. Added calculus lemma.
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2026-05-15 00:39:41 -04:00
Bokuan Li
4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li
538a02ba37 Added the inverse function theorem.
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2026-05-10 19:42:25 -04:00
Bokuan Li
7fdf1a8d6e Added power series.
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2026-05-09 19:57:18 -04:00
Bokuan Li
2e00ac6f10 Adjusted the interchange of limits and derivaties.
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2026-05-08 18:51:09 -04:00
Bokuan Li
5f50dc1157 Updated the power rule to the non-symmetric generality.
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2026-05-08 18:36:44 -04:00
Bokuan Li
248c89240b Updated notation for higher derivatives. 2026-05-08 14:17:28 -04:00
Bokuan Li
277c2e2625 Added the theorem for interchanging limits and derivatives.
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2026-05-08 01:25:39 -04:00
Bokuan Li
ce56f5d167 Adjusted organisation in the TVS chapter. 2026-05-05 21:58:54 -04:00
Bokuan Li
97372173e1 Fixed regex incident.
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2026-05-05 02:00:05 -04:00
Bokuan Li
0f2e69d1f9 Polished A-A and added new lines for broken enumerates.
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2026-05-05 01:50:35 -04:00
Bokuan Li
60115baa41 Replaced references to upward-directed families with ideals. 2026-05-04 17:08:01 -04:00
Bokuan Li
9259cd1d86 Added notation pages for major sections. 2026-04-23 02:56:47 -04:00
Bokuan Li
aa4756e941 Adjusted citation formats. Moved citation off of named theorems if possible.
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2026-03-19 23:58:16 -04:00
Bokuan Li
37a5ce14bf Added the Bochner integral. 2026-03-17 15:16:13 -04:00
Bokuan Li
ef91d9f91b Various typo fixes. 2026-03-15 23:04:46 -04:00
Bokuan Li
62a8e78dfe Typo fixes. 2026-03-15 12:32:31 -04:00
Bokuan Li
68ec8c38a7 Updated spec config.
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2026-03-12 22:02:52 -04:00
Bokuan Li
61f66523e0 Prepare for migration into spec. 2026-03-12 21:26:34 -04:00
Bokuan Li
99f57be39e Housekeeping. 2026-03-06 14:55:54 -05:00
Bokuan Li
5034bc4220 Cleanup 2026-03-06 14:06:15 -05:00
Bokuan Li
173727665b Symmetry of the derivative (normed/frechet). 2026-02-03 17:57:07 -05:00
Bokuan Li
7bbbf75213 Adjusted mean value theorem. 2026-02-03 11:07:32 -05:00
Bokuan Li
04786ba3d9 Added the Mean Value Theorem. 2026-02-03 00:54:44 -05:00
Bokuan Li
8a4e6f5ebf Defined derivatives. 2026-02-02 17:53:23 -05:00
Bokuan Li
307f23ad57 Me when I forget to commit. 2026-01-17 23:11:19 -05:00
Bokuan Li
a89c447b3b Started differential geometry part. 2026-01-06 17:25:27 -05:00