Mathematical Methods Book That Uses SI Units

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SUMMARY

The discussion centers on finding an undergraduate-level mathematical methods book that utilizes SI units for self-study. Participants recommend several titles, including Stroud & Booth's Engineering Mathematics, Riley, Hobson & Bence's Mathematical Methods for Physics and Engineering, and Boas's Mathematical Methods. The consensus is that physics-oriented texts are more likely to use SI units, while engineering texts often employ US customary units. Ultimately, Boas is favored for its comprehensive exercises and accessibility.

PREREQUISITES
  • Understanding of Ordinary Differential Equations (ODEs)
  • Familiarity with Linear Algebra concepts
  • Knowledge of Vector Calculus
  • Basic principles of Partial Differential Equations (PDEs) and Complex Analysis
NEXT STEPS
  • Research Boas's Mathematical Methods for its extensive exercises
  • Explore Riley, Hobson & Bence's Mathematical Methods for Physics and Engineering
  • Investigate Stroud & Booth's Engineering Mathematics for engineering applications
  • Utilize Paul's Online Notes as a supplementary resource for mathematical concepts
USEFUL FOR

Students and self-learners in mathematics and engineering, educators seeking comprehensive teaching resources, and professionals looking to enhance their mathematical methods knowledge in physics and engineering contexts.

Argonaut
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I'm looking for an undergraduate-level 'mathematical methods' or 'engineering mathematics' book that uses SI units for the purpose of self-study.

I've had my eyes on Zill's Advanced Engineering Mathematics, but it seems to use US customary units. So ideally I'm looking for a book that covers roughly the same topics (ODEs, Linear Algebra, Vector Calculus, PDEs, Complex Analysis).

The ones I'm currently considering are Stroud & Booth's Engineering Mathematics and Advanced Engineering Mathematics or Riley, Hobson & Bence's Mathematical Methods for Physics and Engineering.
 
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jedishrfu said:
It seems a physics one would use SI whereas an engineering one would use American standard units since that is what the engineering profession uses in the US.

What about Arfken or Boas or Nearing(dover for hardcover or free at his site)?

https://www.amazon.com/s?k=arfken+mathematical+methods+for+physicists&crid=392CQDERQL5S&sprefix=arfken,aps,208&ref=nb_sb_ss_ts-doa-p_2_6

https://www.amazon.com/dp/0471099201/?tag=pfamazon01-20

http://www.physics.miami.edu/~nearing/mathmethods/
Ah that makes sense, thank you!

Boas is a contender too, while Arfken seems to be higher-level than what I'm looking for. I'll check out Nearing too.
 
jedishrfu said:
It seems a physics one would use SI whereas an engineering one would use American standard units since that is what the engineering profession uses in the US.
I don't recall seeing a physics math methods text where units played a big role since the focus is on mathematical relationships, not finding numerical answers.
 
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vela said:
I don't recall seeing a physics math methods text where units played a big role since the focus is on mathematical relationships, not finding numerical answers.
I see, thanks! That also makes sense in hindsight. The Zill book I leafed through had a lot of miles, feet, lb's and gal's, but it must be the characteristic of 'engineering maths' books, as @jedishrfu noted. So I'll just go for one of the 'mathematical methods for physicists' books.
 
Just to bake your noodle, in nuclear reactor thermal hydraulics we (in the US) do fuel pin linear heat rate in kw/ft.
 
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gmax137 said:
Just to bake your noodle, in nuclear reactor thermal hydraulics we (in the US) do fuel pin linear heat rate in kw/ft.
There's always one gotcha in every crowd.
 
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Thanks for the advice everyone. I've narrowed it down to Riley/Hobson/Bence vs. Boas and went with Boas because it seems to contain more exercises. I've found a reasonably priced second-hand copy too.
 
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vela said:
I don't recall seeing a physics math methods text where units played a big role since the focus is on mathematical relationships, not finding numerical answers.
As an author of such a text, I can confirm this. I did discuss units and — more particularly — dimensional analysis since it forms an important part of the skills required and is a powerful tool.
 
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Argonaut said:
Thanks for the advice everyone. I've narrowed it down to Riley/Hobson/Bence vs. Boas and went with Boas because it seems to contain more exercises. I've found a reasonably priced second-hand copy too.
A good free resource to supplement any textbook is Paul's online notes:

https://tutorial.math.lamar.edu/

It's a great reference.
 
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