Books of mathematics for physics recommendation

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Discussion Overview

The discussion revolves around recommendations for mathematics books that are specifically tailored for physics applications. Participants explore the balance between pure mathematics and practical application, with a focus on resources suitable for someone with a limited background in advanced mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses a desire to learn mathematics applicable to physics without delving into pure mathematical theorems or proofs.
  • Another participant suggests that a solid foundation in calculus and linear algebra is essential for understanding physics, emphasizing the importance of mathematical proofs.
  • A participant recommends "Mathematical Methods in the Physics Sciences" by Mary Boas as a suitable resource that is light on proofs and focused on practical applications.
  • Another participant concurs with the recommendation of Boas' book, highlighting its relevance for the inquirer’s needs.

Areas of Agreement / Disagreement

There is a disagreement regarding the necessity of understanding mathematical proofs for a career in physics. Some participants advocate for a comprehensive mathematical education, while others support a more application-focused approach.

Contextual Notes

Participants mention varying levels of mathematical background and the desire to focus on practical applications, which may limit the scope of recommended resources.

Who May Find This Useful

Students and individuals interested in learning mathematics specifically for physics applications, particularly those who prefer resources with minimal emphasis on pure mathematical theory.

tomatoyeung
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Hello~
Everyone~
I am a new member,
Nice to meet you~

I like physics and mathematics.
I don't care the mathematical theorem,
(Such as the limit theorem, I think which is not very useful in application)
but I want to know the mathematics for Physics.

Any books is suitable for me??
May I have your recommendation??

Thank you very much.
 
Physics news on Phys.org
can you tell us what Mathematics courses you have completed (or will be working on this coming term)? imo you should at least be done with Calc I (limits & derivatives) , Calc II (integrals), Calc III (multivariate), and Introductory Differential Equations (ODE mainly)...and if possible a Linear Algebra course too.
 
Thank you for your reply.

I am a Hong Kong F.6 Student.
If follow the programme of HK .
I learned the calculate of limit(not the proof and detail theorem),
and the single variable derivatives and integrals.(haven't learn substitution yet)
I know the coming year will teach Linear Algebra,substitution etc.
I want to learn more by myself, but I want to skip the pure maths theorem (such as the detail proof of the limit theorem ,something like that).
I want to learn the maths which can directly applied on the actual problem.

I know that some books are written for physics and engineering.
Which do not include too many pure maths theorem.
Is any good choice in such types of books?

And I feel sorry for my poor English.

Thank you.
 
Physics needs mathematics like a poet needs English.

If you want to skip the proofs(which I won't recomend), that is up to you. However, Physical theorems are full of difficult mathematical proofs which are essential to understand. If you don't like this, don't be a physicist.

You should take an unabridged course in:
Calculus(differentiation, integration, multivariate, vector)
Linear Algebra(2-semesters worth. You should know both matrix stuff and advanced things like hermition/unitary operators.)
Advanced Calculus Course(Great for mathematical perspectiv

And then you can try watered down math.
 
Mathematical Methods in the Physics Sciences by Mary Boas seems to be what you're looking for.
 
Of course I have confidence in Maths.
I will try to pay more patience to finish the mathematical parts.

Thank you for the recommendation.
 
t00dles23 said:
Mathematical Methods in the Physics Sciences by Mary Boas seems to be what you're looking for.

I second this. Mathematical Methods in the Physical Sciences by Boas has a lot of math and it is very light on proofs. This is the exact book you are looking for.
 

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