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3 sites in Analysis
The Nrich Maths Project Cambridge: Fractional Calculus I
Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented.
www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refpage=m
Advanced Calculus and Analysis
Lecture notes from the University of Aberdeen for a first course in Analysis.
www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html
An Introduction to the Gauge Integral
Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals.
www.math.vanderbilt.edu/~schectex/ccc/gauge/
