Is Arfken's 'Mathematical Methods for Physicist' Worth Buying?

  • Thread starter Thread starter quasar987
  • Start date Start date
  • Tags Tags
    Book
Click For Summary
SUMMARY

The discussion centers on the value of Arfken's 'Mathematical Methods for Physicists' (5th edition) in comparison to other mathematical physics texts. While some participants recommend it as a reference for those with sufficient mathematical background, others argue it lacks depth in areas such as differential geometry and vector spaces. Boas is frequently recommended for undergraduates due to its accessibility and comprehensive introduction to relevant mathematics. Participants also suggest Dennery & Krzywicki and Morse & Feshbach as valuable supplements, emphasizing the importance of understanding the intended use of these texts.

PREREQUISITES
  • Understanding of mathematical physics concepts
  • Familiarity with undergraduate-level mathematics
  • Knowledge of differential geometry and group theory
  • Awareness of physics subjects such as Quantum Mechanics (QM), Electromagnetism (E&M), and Statistical Mechanics (Stat-Mech)
NEXT STEPS
  • Research the differences between Boas' 2nd and 3rd editions
  • Explore Dennery & Krzywicki for supplementary mathematical methods
  • Investigate Tinkham's work on group theory in solid state physics
  • Examine Wu Ki Tung's texts on continuous groups for high energy physics
USEFUL FOR

Undergraduate physics students, educators in mathematical physics, and anyone seeking to enhance their understanding of mathematical methods applicable to physics.

quasar987
Science Advisor
Homework Helper
Gold Member
Messages
4,796
Reaction score
32
ebay has 41 copy of 'Arken's mathematical methods for physicist 5th edition' for sale at half the amazon price. Is this book a "must-have" for physicist?
 
Physics news on Phys.org
There are better books out there. Arfken doesn't cover vector spaces. A good supplement to Arfken (if already bought) is Dennery & Krzywicki.

 
Then what it the must-have "math for physicist" book out there?
 
Well did Zapperz recommend, without hesitation, that Arfken and Boas are the ideal mathematical physics textbooks.
 
They're not really mathematical physics books. Just mathematics for physicists. There is a difference.
 
I recommended Boas without hesitation. I recommend Afken only for someone who already have enough mathematical sophistication. But if you're an undergrad and are becoming overwhelmed by all the math you are seeing in QM, E&M, Stat-Mech, then I recommend Boas in a heartbeat.

Zz.
 
I recommend Arfken. I am sill undergrad and find it is lacking in many aspects. There is very little differential geometry. I think there is no one must have book. Anyway, most books on physics have an intro with the math relevant to the subject. For example, Wald has an extensive math chapter, I think.
 
Arfkin is an OK reference if you have got the background. Dennery & Krzywicki is a very good book, Morse and Feshbach is the series to have, but having been written in the '50's it is lacking in differential geometry and group theory. I cannot give a reference for differential geometry but I'd suggest Tinkham for group theory applied to solid state and Wu Ki Tung for coutinuous groups more in line with high energy physics.
 
i have arfken and also boas, and i like boas better. (i'm an undergrad.)
 
  • #10
So did you decide yet quasar987?

Would anyone care to speculate about the differences between Boas' 2nd & 3rd edition provided they have it?

I'll assume the 3rd edition is loaded with more graphics.
 
Last edited:
  • #11
Well I won't buy Arfken. But I won't buy Boas either because it's not on sale.
 
  • #12
ZapperZ said:
I recommended Boas without hesitation. I recommend Afken only for someone who already have enough mathematical sophistication. But if you're an undergrad and are becoming overwhelmed by all the math you are seeing in QM, E&M, Stat-Mech, then I recommend Boas in a heartbeat.

Zz.


I find that Boas doesn't cover certain things in enough depth like tensors. My favourite is



Check out the contents https://www.amazon.com/gp/product/0521890675/?tag=pfamazon01-20

If possible take a look at a few in your library before deciding..
 
Last edited:
  • #13
Baggio said:
I find that Boas doesn't cover certain things in enough depth like tensors. My favourite is



Check out the contents https://www.amazon.com/gp/product/0521890675/?tag=pfamazon01-20

If possible take a look at a few in your library before deciding..

But I think people are MISSING the whole point here, and especially with regards to Boas's book. Read the INTRODUCTION, and her message TO THE STUDENTS.

When you pick up a book, especially a mathematical physics text, you need to keep in mind what you want to use it for! If anyone have read the chapter of So You Want To Be A Physicist where I talked about mathematical preperations, you'll understand where I'm coming from. Boas's text is meant for undergraduates starting at the SOPHOMORE level. It is to be used so that by the time the student starts taking more advanced undergraduate classical mechanics, QM, E&M, Stat-Mech, etc., he or she would have at least SEEN the mathematics involved. Like I said, a QM class is NOT the best place in the world to hear the words "orthornormal" or "Legendre polynomial" or "Bessel function" for the very first time.

Now one can argue that the student could take all the mathematics classes required to do just that, but as a physics major, who has the time and the patience? I certainly don't! It also means that the student will have to delay taking all the "fun" classes till late in his or her undergraduate years until all the mathematics are done. I find this highly impractical.

Read the intro to the book. Figure out what it is meant for and who she is aiming the book at. Then use it according to instructions.

Zz.
 
  • #14
ZapperZ said:
When you pick up a book, especially a mathematical physics text, you need to keep in mind what you want to use it for!

inha said:
They're not really mathematical physics books. Just mathematics for physicists. There is a difference.

Then what do you consider to be mathematical physics textbooks?
 
Last edited:
  • #15
I don't have the book but I'm interested to hear what she had written. If you don't mind and if it is not too long, would you please post her introduction?
 

Similar threads

Replies
32
Views
1K
Replies
30
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 34 ·
2
Replies
34
Views
8K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 8 ·
Replies
8
Views
708
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 11 ·
Replies
11
Views
7K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K