The discussion centers on obtaining a detailed proof of Stirling's formula, particularly in relation to the gamma function. The user references "Principles of Mathematical Analysis" by Walter Rudin, noting that it contains shortcuts that are difficult to follow. Another participant suggests the Wikipedia page on Stirling's formula, which offers two proofs and links to additional details for the omitted steps. This indicates that while Rudin's text is foundational, supplementary resources are necessary for a comprehensive understanding.
PREREQUISITESStudents of mathematics, particularly those studying analysis, researchers interested in the gamma function, and anyone seeking a deeper understanding of Stirling's formula.
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.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.