Best book to learn some maths methods?

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Discussion Overview

The discussion centers around the best resources for learning mathematical methods, specifically from linear algebra to multivariable calculus, in preparation for a theoretical physics degree. Participants explore the suitability of different types of math books, particularly 'Mathematical Methods for the Physical Sciences' by Boas, and the balance between practical application and theoretical understanding in mathematics education.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to learn mathematics correctly for theoretical physics, questioning whether Boas' book is more suited for engineers or physicists.
  • Another participant suggests that there are two types of math books: those focused on application without proofs and those that delve into proofs and theory.
  • A participant mentions that learning to calculate is a valid approach, especially in the early stages of a math education in the sciences.
  • There is a suggestion that later courses, such as topology, may focus more on proofs.
  • A participant clarifies their background as an engineering student planning to transfer to physics, indicating a transition in their educational focus.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best type of math book for a physics student, with differing views on the importance of proofs versus practical application in mathematics education.

Contextual Notes

The discussion reflects varying educational backgrounds and intentions among participants, which may influence their perspectives on the types of mathematical resources that are most beneficial.

aeroboyo
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hello,

I'd like to learn some basic math methods from linear algebra to multivariable calculus. At the moment I'm at a pre-linear algebra level, I've had one semester of calculus. I'm aware of 'Mathematical Methods for the Physical Sciences' by Boas, but i have some reservations.

I want to learn maths 'correctly' for my intentions. By that i mean, i'd like to learn it so that i could commence on a theoretical physics degree. I get the impression that there are two basic types of maths books, those that are more for engineers (with no proofs and they just want you to apply formulas) and others which might be more inclined towards mathematicians in that they explain proofs and theories behind the maths. Which kind of book should a PHYSICS student benefit most from? Which leads to the question, is 'Mathematical Methods for the Physical Sciences' by Boas suitable for the aspiring physicist (does it contain proofs and theory behind the maths) or is it best suited for the aspiring engineer (does it just teach the student how to apply formulas to solve problems?).
 
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Here is a good site:

http://www.maths.mq.edu.au/~wchen/ln.html
 
courtrigrad said:
Here is a good site:

http://www.maths.mq.edu.au/~wchen/ln.html

Great site, courtrigrad. Btw, you may want to post it in the tutorial section if it's not already there.
 
aeroboyo said:
I want to learn maths 'correctly' for my intentions.

I thought you were an engineering student?

There's nothing incorrect about learning how to calculate, as much as some of the math students here may disdain that. The first couple of years of a math education in the sciences at the college level typically concentrate on calculation. Later you might want to take a course that concentrates on proofs. Topology is usually good for that.
 
i am an engineering student... but i will be transfering into physics next year!
 

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