Discussion Overview
The discussion revolves around the search for an undergraduate-level mathematical methods or engineering mathematics book that utilizes SI units, suitable for self-study. Participants explore various textbook options and their alignment with the desired unit system, covering topics such as ordinary differential equations (ODEs), linear algebra, vector calculus, partial differential equations (PDEs), and complex analysis.
Discussion Character
- Exploratory
- Debate/contested
- Technical explanation
Main Points Raised
- One participant expresses interest in Zill's Advanced Engineering Mathematics but notes its use of US customary units, seeking alternatives that use SI units.
- Another participant suggests that physics texts typically use SI units, while engineering texts often use American standard units, reflecting the conventions of the respective fields.
- Participants mention several potential textbooks, including Arfken, Boas, and Nearing, with links provided for further exploration.
- One participant reflects on the focus of physics math methods texts, stating that they do not emphasize units significantly, as the primary concern is mathematical relationships rather than numerical answers.
- A later reply from a participant who identifies as an author of such texts confirms the limited role of units in their work, although they acknowledge the importance of dimensional analysis.
- Another participant shares their decision to choose Boas over Riley/Hobson/Bence due to the perceived quantity of exercises available in Boas, indicating a preference for practical application.
- One participant humorously notes a specific example from nuclear reactor thermal hydraulics, highlighting the use of kw/ft, which contrasts with the general discussion about unit preferences.
Areas of Agreement / Disagreement
Participants generally agree that physics texts are more likely to use SI units, while engineering texts may not, but there is no consensus on the importance of units in mathematical methods texts. Multiple viewpoints regarding the relevance of units and the selection of textbooks remain present.
Contextual Notes
Some participants express uncertainty about the role of units in mathematical methods, suggesting that the focus may vary between disciplines. The discussion also reflects differing opinions on the appropriateness of various textbooks based on their content and exercise availability.
Who May Find This Useful
Students and self-learners seeking undergraduate-level resources in mathematical methods or engineering mathematics, particularly those interested in SI units and practical applications in physics and engineering.