What are some recommended analysis books for physics undergraduates?

AI Thread Summary
The discussion centers around finding suitable analysis textbooks for an undergraduate student in physics with a limited math background. A recommendation for Serge Lang's "Undergraduate Analysis" is highlighted as a good option, despite the user's initial struggle with Rudin's text. For those with less exposure to formal proofs, advanced calculus texts like Spivak or Fitzpatrick are suggested. Pugh's analysis book is also mentioned for those familiar with formal proofs. Additional resources include a link to free e-books, including one by Ash that offers solutions to problems, which may be beneficial for self-study. The conversation emphasizes the importance of selecting a textbook that aligns with the student's current understanding and needs.
kostas230
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I'm looking for an analysis book. I was recommended Rudin but it proved too difficult for me. I've heard Lang's "Undergraduate Analysis" is a pretty good textbook. I'm an undergraduate in physics so my math backround is more limited than that of a math undergraduate.
 
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Do you have any exposure to formal proofs?

If not, you may want an advanced calculus text like Spivak or Fitzpatrick.

If so, try Pugh's analysis text.
 
I studied Calculus I from Spivak and Caclulus II from Marsden. Thanks mate :)
 
Pretty expensive for me right now (greek undergraduate :P)
 
kostas230 said:
Pretty expensive for me right now (greek undergraduate :P)

If you look here:
http://www.e-booksdirectory.com/listing.php?category=471

you will find some free books, one or more might be what you are looking for. The book by Ash has solutions to the problems, which may help. good luck.

jason
 
I would suggest Serge Lang's Undergraduate Analysis. To be honest, i didn't study it, but I studied his Linear Algebra and his Undegraduate Algebra, and I found them to be extremely useful and throughly well explained (being understood that "well explained" doesn't necessarily mean "easy")
 

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