Need to buy mathmatical background books for grad course

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Discussion Overview

The discussion revolves around recommendations for mathematical background books suitable for a graduate course, specifically comparing three titles listed in a syllabus and exploring additional resources. The scope includes theoretical and applied mathematics relevant to physics and chemistry.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Exploratory

Main Points Raised

  • Post 1 lists three recommended books: "Mathematical Methods for Physicists" by Arfken, "Mathematical Methods in Chemistry and Physics" by Starzak, and "Mathematical Methods in the Physical Sciences" by Boas, and seeks clarification on their differences.
  • Post 2 suggests additional resources, including the "Schaum's Outline: Mathematical Handbook of Formulas and Tables," which is noted for its accessibility and usefulness in applied math contexts, particularly in physics.
  • Post 2 also mentions Prof Nearing's book, which is free but may be unavailable, and highlights Prof Kip Thorne's recently published book, which aims for a geometric view of the subject.
  • Post 2 expresses a preference for Arfken's book but notes the presence of typos and suggests that Boas's book might be more approachable for undergraduates.
  • Post 3 advises checking library availability and suggests looking at the books before purchasing, recommending used copies of older editions if buying without prior review.
  • Post 4 reiterates the inquiry about the differences among the three main books and provides links to previous discussions about Boas's book.

Areas of Agreement / Disagreement

Participants express varying opinions on the recommended books, with no consensus on which is the best choice. Some participants favor Arfken's book, while others suggest Boas's book may be more suitable for certain audiences. Additional resources are also proposed, indicating a range of preferences and perspectives.

Contextual Notes

Participants mention potential issues with typos in Arfken's book and the accessibility of different texts, but do not resolve these concerns. The discussion reflects a variety of personal experiences and recommendations without definitive conclusions.

oristo42
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In the syllabus of the class, it recommended three mathematical background books:

Mathematical Methods for Physicists by Arfken

Mathematical Methods in Chemistry and Physics by Starzak.

Mathematical Methods in the physical sciences by Boas

I don't know difference between these three. Any recommendations?
 
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While its not on your list, the Schaums Outline: Mathematical Handbook of Formulas and Tables is a definite keeper.

https://www.amazon.com/dp/0071795375/?tag=pfamazon01-20

Its cheap at $10-$20 and is very accessible and comprehensive for applied math and quite useful in a physics context. I would get the paper version too not an ebook version as I've heard that the equations don't render correctly and often get messed up or that its just hard to read the formulas on the screen.

One other is Prof Nearing's book (free but seems to be offline perhaps affected by Irma):

http://www.physics.miami.edu/nearing/mathmethods/mathematical_methods-three.pdf

There is also a DOVER publication of the book:

https://www.amazon.com/dp/048648212X/?tag=pfamazon01-20

And lastly, Prof Kip Thorne's book (just published $120):

https://www.amazon.com/gp/product/0691159025/?tag=pfamazon01-20

and some more detail from Princeton Press:

http://press.princeton.edu/titles/10157.html

Of the books you mentioned, I like Arfken's book but I don't use it on a day to day basis and I did find a couple of typos in it that never seem to get fixed like every book seems to have. I've heard that Boaz's book is more approachable for undergrads but I felt the Arfken book laid out things structurally a little better.

For Thorne's book, I've seen preprints that were available online. He said in the preface that he was aiming for a more geometric view of the subject which might make it more accessible than either Arfken or Boaz. Also it will have a more physics based scope.
 
Are these available in your library? Your prof may have even placed them on reserve. If at all possible, look at the books before buying. You might not need/want any of them. If you do decide to buy without reading, i recommend you get cheap used copies of old editions.

Jason
 
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