MHB Get a Detailed Proof of Stirling's Formula

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hey, can someone suggest where will a get a detailed proof of stirling's formula (related with gamma function). I read it from PRINCIPLES OF MATHEMATICAL ANALYSIS Walter Rudin,but in it many shortcut steps are there, which is either beyond my knowledge, or i m not getting it.
 
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Pratibha said:
hey, can someone suggest where will a get a detailed proof of stirling's formula (related with gamma function). I read it from PRINCIPLES OF MATHEMATICAL ANALYSIS Walter Rudin,but in it many shortcut steps are there, which is either beyond my knowledge, or i m not getting it.
The Wikipedia page on Stirling's formula gives two proofs. They are not completely free of shortcuts, but they provide links to details of all the missing steps.
 

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