Syllabus
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This list is a work in progress, and will be updated throughout the semester.
- Chapter 1 and 2: While not explicitly part of the syllabus, this material is used and taken for granted in this course.
- Chapter 3: Sections 1–5. Section 3.6 might be useful for context in Sec. 4.8.
- Chapter 4: Sections 1–10 (but not the section on Abel's theorem in Sec. 4.4),
- Chapter 5: Sections 1–5. Apart from Sec. 5.5, this should be familiar from MAT1125. If you have not taken that course, or need a brushing-up, consult the textbook.
- Chapter 6: TBA
- Chapter 7: TBA
- Chapter 8: TBA
Supplementary material
If you are looking for alternative textbooks to Lindstr?m's Spaces, I can recommend the following:
- W. Rudin. Principles of mathematical analysis. Starts very basic, but still covers a substantial part of our syllabus. Available from the Internet Archive.
- T.W. K?rner. A companion to analysis. Covers parts of Ch. 1–6. Starts at a somewhat lower lever, and is more detailed and verbose than Spaces.