Discussion Overview
The discussion revolves around selecting the best calculus books by Richard Courant for beginners. Participants express their preferences and experiences with various titles, including "Introduction to Calculus and Analysis" and "Differential and Integral Calculus," while also addressing the availability of these books and related resources.
Discussion Character
- Debate/contested
- Exploratory
- Technical explanation
Main Points Raised
- One participant expresses a desire to learn calculus from scratch and seeks recommendations on which of Courant's books to purchase, specifically asking about the old and new editions of "Introduction to Calculus and Analysis" and the "Differential and Integral Calculus" series.
- Another participant suggests using the version co-authored with Fritz John, although they have not tried the "Differential and Integral" series.
- Some participants mention that Courant has lesser-known books on topics like complex functions and variational calculus.
- A participant shares a positive experience with "Introduction to Calculus and Analysis," particularly praising volume 2.
- There are discussions about the legality and ethics of sharing links to scanned versions of the books, with one participant questioning why such links would be erased if they intend to purchase the book.
- One participant argues that while Courant-John serves as good reference material, it lacks modern discussions on set theory and algebra, suggesting "Elementary Analysis: The Theory of Calculus" by Kenneth A. Ross as a better alternative for beginners.
- Another participant defends Courant's book as thorough, despite its age and lack of coverage on set theory, noting that set theory is more relevant in advanced courses like measure theory and complex analysis.
Areas of Agreement / Disagreement
Participants express differing opinions on which Courant book is best for learning calculus, with no consensus reached on a single recommended title. There are also varying views on the relevance of modern topics like set theory in the context of Courant's works.
Contextual Notes
Some participants reference the availability of scanned versions of books, indicating a potential limitation in accessing physical copies. The discussion also highlights the age of Courant's texts and their alignment with contemporary educational standards.