Discussion Overview
The discussion centers on comparing two textbooks, "Advanced Engineering Mathematics" by Erwin Kreyszig and "Mathematical Methods in the Physical Sciences" by Mary L. Boas, to determine which is more suitable for engineering students in terms of intuition, comprehensiveness, and practical application of concepts.
Discussion Character
- Debate/contested
- Technical explanation
- Conceptual clarification
Main Points Raised
- Some participants suggest that Kreyszig is more mathematically oriented with fewer physical examples, while Boas incorporates more examples from physical science to illustrate mathematical techniques.
- One participant notes that Kreyszig covers a wide range of topics including vectors, linear algebra, differential and integral vector calculus, complex variables, and some elementary topics related to ODEs and PDEs.
- Another participant expresses that Boas aims to explain fundamental concepts with more intuition, while Kreyszig covers a broader range of topics in depth but with less practical application.
- A participant mentions that both textbooks are valuable and suggests that alternating between different authors can enhance understanding.
- One participant strongly favors Boas, stating that it covers more topics and provides better explanations compared to Kreyszig, which they found less helpful during their studies.
- Another participant lists the topics covered in Boas, including infinite series, complex numbers, linear algebra, multivariate calculus, vector analysis, and more, emphasizing the breadth of content.
- A participant highlights the value of Boas's chapter on Calculus of Variations as particularly noteworthy.
- Some participants express a preference for textbooks that reinforce concepts with concrete examples, indicating a desire for practical applications in engineering contexts.
Areas of Agreement / Disagreement
Participants express differing opinions on the effectiveness and suitability of Kreyszig versus Boas, with no clear consensus reached. Some favor Kreyszig for its depth and breadth, while others prefer Boas for its intuitive explanations and practical examples.
Contextual Notes
Participants reference personal experiences with the textbooks, which may influence their perspectives. There is mention of different editions of Kreyszig, suggesting variations in content and organization over time.