Analysis
Advanced Calculus and Analysis
Lecture notes from the University of Aberdeen for a first course in Analysis.
An Introduction to the Gauge Integral
Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals.
Computability and Complexity in Analysis Network
CCA Net aims to provide a central location for collecting information useful to researchers working in the field.
First Degree Differential Equations Tool
Draw direction fields. Estimate solutions using Euler's and Runge-Kutter methods. See the algorithms.
Graphing Calculator and Numerical Methods Tool
Graphing calculator for functions of a single real variable. Find roots, intersections, maximums and minimums, approximate integrals. See the algorithms.
Harmonic Analysis
Maintained by Terence Tao, UCLA. Lists events, personal pages, preprints, research groups, other links.
On the Atiyah-Singer Index Theorem
An overview of the Atiyah-Singer Index Theorem that places the result in historical and mathematical context.
Systems of Differential Equations Tool
Draw direction fields for an autonomous system of two differential equations. Estimate solutions using Runge-Kutter methods. See the algorithms.
The International Society for Analysis, its Applications and Computation (ISAAC)
Established in 1994 to promote and advance analysis, its applications, and its interaction with computation. Meetings, lists.
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.
Working Group on Generalized Convexity
An interdisciplinary group of scholars from operations research, economics, engineering, applied sciences, mathematics, statistics, among others, with an interest in generalization…
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