Discussion Overview
The discussion revolves around the suitability of using Apostol's Calculus Vol. 1 as a first calculus textbook for someone with only precalculus knowledge. Participants explore whether the rigor of Apostol is beneficial or if an alternative like Thomas Calculus 3rd edition would be more appropriate as a precursor.
Discussion Character
- Debate/contested
- Conceptual clarification
- Exploratory
Main Points Raised
- One participant expresses concern about using Apostol without prior calculus experience, suggesting it may be too difficult.
- Another participant recommends starting with Thomas Calculus 3rd edition and suggests additional books like "How to Prove It" and "Naive Set Theory" to build foundational skills before tackling Apostol.
- A different viewpoint suggests "A First Course in Calculus" by Serge Lang as a more accessible introduction before approaching Apostol.
- Some participants discuss the merits of "Naive Set Theory" by Paul Halmos and "Mathematical Proofs" by Chartrand, with differing opinions on their instructional styles and effectiveness.
- There is a mention of a free calculus resource by Keisler as an alternative to Thomas, although one participant expresses a lack of fondness for Thomas as a calculus book.
Areas of Agreement / Disagreement
Participants do not reach a consensus on whether Apostol is suitable as a first calculus book. Multiple competing views are presented regarding the best preparatory materials and the appropriateness of Apostol for beginners.
Contextual Notes
Some participants highlight the importance of prior exposure to calculus concepts and foundational mathematics, while others emphasize the varying instructional styles of recommended texts, indicating that personal preference may play a significant role in the choice of materials.
Who May Find This Useful
Individuals interested in learning calculus, particularly those considering different introductory textbooks and seeking guidance on foundational mathematics resources.