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I am looking for a good text book to learn Riemann integration. Please suggest books with theories and proofs comprehensively explained.

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Kenneth Ross' Elementary Analysis: The Theory of Calculus has probably the most complete presentation of the Riemann integral you'll find at the beginning level.

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I suggest you go over Rudin with these notes(section 19):

http://ocw.mit.edu/courses/mathematics/18-100b-analysis-i-fall-2010/readings-notes/

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