Discussion Overview
The discussion revolves around finding a suitable problem book in real analysis for sharpening analysis skills. Participants share recommendations and opinions on various books, including their content and suitability for someone already studying from Rudin's "Principles of Mathematical Analysis."
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant expresses a desire for a problem book that may include solutions, specifically mentioning their current use of Rudin's text.
- Another participant suggests a book with solutions but does not specify the title.
- Demidovich is mentioned as a standard exercise book at Moscow State University, with a humorous remark about its companion book, Anti-Demidovich.
- Counterexamples in Analysis is proposed as a potentially useful resource.
- Schaum's Outline of Advanced Calculus by R. Wrede and M. Spiegel is recommended as a good option.
- Concerns are raised that Demidovich may be too elementary for someone already studying Rudin, with a suggestion to consider the Kaczor and Nowak volumes instead.
Areas of Agreement / Disagreement
Participants present multiple competing views on the suitability of various books, with no consensus on a single recommended text. Some participants agree that Demidovich may not be appropriate for those using Rudin, while others suggest it might still be useful.
Contextual Notes
There are varying opinions on the availability and accessibility of the suggested books, particularly Demidovich and Anti-Demidovich, with some noting that they may be available online in Russian.