Book idea: mathematical techniques in introductory physics

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Discussion Overview

The discussion revolves around the idea of publishing a book that focuses on mathematical techniques used in introductory physics, particularly emphasizing calculus. The proposed structure includes chapters on various mathematical topics and their applications in physics, aiming to aid students who have completed introductory physics courses.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses interest in the book idea, suggesting it could be beneficial for those who have taken introductory physics.
  • Another participant notes that while they find the idea appealing, the book would require significant editing and is one of many projects they are considering.
  • A participant shares their personal experience of struggling with the disorganization of mathematical tools and physics concepts during their transition to graduate school, indicating that a book like this could have been helpful.
  • Another participant mentions they are working on a similar project aimed at a more advanced level, which includes familiar examples and connects to previous knowledge, assuming knowledge of calculus and ordinary differential equations.
  • One participant reiterates their interest in the book idea, stating they would likely use it if published.

Areas of Agreement / Disagreement

Participants generally express interest in the book concept, but there is no consensus on its feasibility or the extent of its potential impact. Some participants are supportive, while others highlight challenges related to editing and project prioritization.

Contextual Notes

There are indications of varying levels of familiarity with calculus and differential equations among potential readers, which may affect the book's accessibility and effectiveness. The discussion does not resolve the specific content or structure of the proposed book.

Who May Find This Useful

Students who have completed introductory physics, educators looking for supplementary materials, and individuals interested in the intersection of mathematics and physics may find this discussion relevant.

Scott Hill
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I have a set of class notes that I've been thinking about publishing as a book, and I wonder what y'all thought about it. The book is intended for people who have taken introductory physics, and it is organized by mathematical topic or technique, with a specific focus on calculus. There are chapters on flux, rates, spatial derivatives, symmetry, coordinate systems, surface and volume integrals, and differential equations, and each chapter revisits physics topics that use that particular technique.

Sound interesting?
 
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why not?
 
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cpsinkule said:
why not?
Actually, there's a good reason: it needs a good amount of editing, and it's only one of a dozen projects. A sudden outpouring of enthusiasm would help me decide if it's worth the effort. :)
 
I majored in chemical engineering, though at heart I was always a physicist (it's a long story). Life got in the way (another long story) and it took me years to finally get back on track and go to physics graduate school. I barely managed to squeak in, and when I did I struggled severely because I had forgotten most of the few things that would have been useful to me, on top of there being things that I didn't even know I had to know. The mathematical tools and physics were scattered all over the place, and I had a hard time putting things together. Eventually I completed my Masters, but a book like the one you describe would have made things a lot easier for me.
 
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I am writing something similar, but I suspect aimed at a slightly more advanced level. It started out as a collection of lecture notes for a course I am teaching, but now includes some additional topics.

I assume knowledge of calculus and ordinary differential equations as these are course prerequisites. The idea is to present several familiar examples but using the more general framework to arrive at the result and to connect it to previous knowledge. In the end, I am planning to introduce some more advanced physics using the very same methods.
 
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Scott Hill said:
I have a set of class notes that I've been thinking about publishing as a book, and I wonder what y'all thought about it. The book is intended for people who have taken introductory physics, and it is organized by mathematical topic or technique, with a specific focus on calculus. There are chapters on flux, rates, spatial derivatives, symmetry, coordinate systems, surface and volume integrals, and differential equations, and each chapter revisits physics topics that use that particular technique.

Sound interesting?
I would almost certainly use this if it were published.
 
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