- Historical Tidbits - Paul Golba
Biographical and mathematical information (from an online interactive textbook on Real Analysis by Bert G. Wachsmuth) on Niels Abel, Archimedes, Johann Bernoulli, Bernard Bolzano, Georg Cantor, Augustin Cauchy, Augustus De Morgan, Euclid, Leonhard Euler,
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- Mark McClure
Mark McClure is an assistant professor at the University of North Carolina at Asheville researching real analysis, specifically fractal measure and dimension. Papers on these topics may be downloaded in gzipped PostScript format; a paper involving Julia
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- MatematicasVisuales - Roberto Cardil, Miguel Cardil
Interactive visualizations of mathematical concepts, in the topics of geometry, real analysis, complex analysis, probability, and history. An English version is also available.
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- Mathematical Analysis I - Elias Zakon
This online text covers the basic topics of undergraduate real analysis: metric spaces, continuity, differentiation and integration. Over 500 exercises, many with extensive hints, help the student through the text. The text contains background material
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- Mathematics and Music - Dave Rusin; The Mathematical Atlas
A short article documenting the interplay between music and mathematics, with a bibliography. Explorations into tunings include why there are twelve tones in an octave, tuning problems that lead to the Riemann zeta function or to logarithms, nineteen-tone
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- Math Professor Quotes
Blog of "the absurd things math professors say." Submit your own teacher's quirky head-scratchers, or browse the collective archive, which dates back to July, 2012.
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- Math (Splines, Numerical Analysis, Graph Theory, Real Analysis) - Josh W.; Typhon Software
A collection of Java applets (may not work with older versions of Java) for investigating splines, finding roots of polynomials, manipulating matrices, drawing and analyzing graphs to study graph theory, etc.
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- Nonstandard Analysis and the Hyperreals - Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of Almost-Nothing and More-than-Everything; The Hyperreal Wish-List; Construction of the hyperreal numbers; Hyperreal arithmetic;
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- Pete L. Clark
Course notes, open problems, publications and preprints by Clark, who teaches at the University of Georgia, and does research primarily in number theory and arithmetic geometry. See, in particular, Clark's freely downloadable PDF expositions on commutative
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- Real Analysis Exchange - Michigan State University Press
The Real Analysis Exchange journal has four sections: conventional research articles; topical surveys, which give an overview of one area of current research activity; "Inroads," intended for a less traditional presentation of information of interest
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- Tutor World Online
This online tutoring service sells homework help and SAT preparation packages. The Tutor World Online journal posts free primers in math.
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- Video Lectures in Mathematics - Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K-12." Farlow
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- What's New - Terence Tao, UCLA
Updates on Tao's research and expository papers, discussion of open problems, and other maths-related topics. Blog posts, which date to February, 2007, have included "Riemannian manifolds and curvature" and "Sailing into the wind, or faster than the wind"
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- Will the real continuous function please stand up? - Keith Devlin (Devlin's Angle)
A description and a more rigorous Cauchy-Weierstrass definition that "forms the bedrock of modern real analysis and any standard 'rigorous' treatment of calculus," with a discussion of how the formal definition involves a major shift in conceptual model
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