Discussion Overview
The discussion revolves around the comparison between the 2nd and 3rd editions of Spivak's "Calculus." Participants explore concerns about the quality of newer editions, the enhancements made, and recommendations for further study in mathematics, particularly for undergraduate students in engineering.
Discussion Character
- Debate/contested
- Technical explanation
- Conceptual clarification
- Homework-related
Main Points Raised
- One participant expresses concern that newer editions of textbooks tend to be watered down and questions whether to purchase the 3rd edition or the 2nd.
- Another participant asserts that Spivak does not dilute his books and suggests that later editions may include enhancements, referencing a friend who has contributed to these editions.
- A participant mentions that the 3rd edition added chapters and corrected some errors, noting that some minor errors may still exist.
- Several participants recommend additional resources for further study in calculus and analysis, including Spivak's "Calculus on Manifolds," Munkres' "Analysis on Manifolds," and others, with varying levels of complexity and abstraction.
- One participant advises that Dieudonné's "Foundations of Modern Analysis" may be too abstract and suggests supplementing it with another source.
Areas of Agreement / Disagreement
Participants do not reach a consensus on whether the 2nd or 3rd edition is preferable, with some arguing for the merits of the newer edition while others express skepticism about changes in newer editions. The discussion remains unresolved regarding the best choice for the original poster.
Contextual Notes
Participants mention specific enhancements and errors in the 3rd edition but do not agree on the implications of these changes. There is also a variety of opinions on the suitability of different mathematical texts for further study.
Who May Find This Useful
Undergraduate students in mathematics or engineering looking for rigorous mathematical foundations and those interested in the comparative quality of different editions of Spivak's "Calculus." Readers seeking recommendations for advanced mathematical texts may also find this discussion relevant.