Selected Sites   (see also All Sites in this category)

Interactive Real Analysis - Bert G. Wachsmuth Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. Organized into the topics of sets and relations, infinity and induction, sequences of numbers, topology, continuity and differentiation, the integral (Riemann and Lebesgue), sequences of functions, and metric spaces. Features Java tools Function Plotter, Continuity Checker, Root Finder, Family Plotter, and Derivative Checker. Also includes a glossary of calculus terms and biographies, with definitions, theorems, and problems. more>> Teaching Resources Online - Bert G. Wachsmuth Seton Hall University professor's syllabi, online handouts, sample programs, scripts and software to download, exams and answers, general information, and other teaching resources for his computer science and mathematics courses: Intro to Computer Science, Parts 1 and 2, Java and Network Programming, Java and Internet Programming, Calculus I for Science Majors, Junior Seminar in Mathematics, and Real Analysis. Latex, Maple, and Derive notes. more>>

All Sites - 12 items found, showing 1 to 12

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, ...more>> 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 ...more>> 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. ...more>> 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 ...more>> 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 ...more>> 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. ...more>> 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; ...more>> 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 ...more>> 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 ...more>> Tutor World Online This online tutoring service sells homework help and SAT preparation packages. The Tutor World Online journal posts free primers in math. ...more>> 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 ...more>> 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 ...more>>

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