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Advanced Calculus and Analysis

http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Lecture notes from the University of Aberdeen for a first course in Analysis.

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An Introduction to the Gauge Integral

http://www.math.vanderbilt.edu/~schectex/ccc/gauge/

Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals.

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Computability and Complexity in Analysis Network

http://www.informatik.fernuni-hagen.de/import/cca/

CCA Net aims to provide a central location for collecting information useful to researchers working in the field.

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Harmonic Analysis

http://www.math.ucla.edu/~tao/harmonic/

Maintained by Terence Tao, UCLA. Lists events, personal pages, preprints, research groups, other links.

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On the Atiyah-Singer Index Theorem

http://www.abelprisen.no/nedlastning/2004/popular_english_2004.pdf

An overview of the Atiyah-Singer Index Theorem that places the result in historical and mathematical context.

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The International Society for Analysis, its Applications and Computation (ISAAC)

http://mathisaac.org/

Established in 1994 to promote and advance analysis, its applications, and its interaction with computation. Meetings, lists.

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The Nrich Maths Project Cambridge: Fractional Calculus I

http://www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refpage=monthindex.php

Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented.

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Working Group on Generalized Convexity

http://www.ec.unipi.it/~genconv/

An interdisciplinary group of scholars from operations research, economics, engineering, applied sciences, mathematics, statistics, among others, with an interest in generalizations of the classical concept of a convex function.

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