 0.9999 = 1  Math Forum, Ask Dr. Math FAQ
Why does 0.9999... = 1 ? An answer adapted from the sci.math FAQ.
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 Andrew Odlyzko
Home page of the Head of the Mathematics and Cryptography Research Department at AT&T Labs. The site contains a comprehensive list of his papers, most of which may be downloaded in LaTex, PDF, or PostScript form if they are not available as plain
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 Calculus I (calculus@internet  Mathematica)  Christopher A. Barker
Mathematica Track. Mathematica Basics (The Environment; Arithmetic; Using Variables; Working with Lists; Algebraic Operations; Functions; Graphics). CCH Text  Labs: Functions: Roots, Domain & Range; Fitting Exponential Data; Power Functions; Calculating
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 Calculus II Computer Labs  Robin Sue Sanders
Mathematica Labs written for Buffalo State College's Calculus II courses.
Available notebooks contain reference material on basic Mathematica
commands, with labs on Riemann Sums, Simpson's Rule, the Fundamental
Theorem, and determining the value of
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 Carl Offner's Home Page  University of Massachusetts, Boston
Expository papers by Offner on mathematics and computer science (levels: advanced undergraduate to 1styear graduate student): Repetitions of Words and the ThueMorse Sequence; Finite Fields and PseudoRandom Number Generation; Some Early Analytic Number
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 Daniel Bump
A mathematics professor researching automorphic forms, representation theory, and number theory at Stanford University. Read the errata for his book Automorphic Forms and Representations, notes on the Riemann zeta function and possible proofs of the
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 David J. Wright  Mathematics Dept., Oklahoma State University
Wright's main field is number theory, particularly algebraic number theory and algebraic groups, with methods from functional analysis and analytic number theory. Papers: Observations of N. Katz on the finer distribution of Gauss sum angles and similar
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 Exploring the Euler Gamma and Riemann Zeta Functions  Sjoerd J.Schaper
A graphic Euler gamma and Riemann zeta explorer, built around the binomial version of Peter Borwein's "An Efficient Algorithm for the Riemann Zeta Function" (1995). The program plots function values on the real line, draws Argand diagrams of the mapping
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 Generating Functions  Interactive Mathematics Miscellany and Problems, Alexander Bogomolny
The definition and properties of generating functions with several examples, including variants of coin change, fast algorithm for computing Banzhaf and ShapleyShubik power indices, covering the chessboard with tromino and more. Many examples are illustrated
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 Georg Friedrich Bernhard Riemann (History of Mathematics Archive)  David R. Wilkins
A biography and selected papers of Bernhard Riemann, available online or for download in various formats. A lecture on geometry and the paper which contains the Riemann Hypothesis are available in English translation; the other papers remain in the original
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 Gowers's Weblog  Timothy Gowers
Blog by a Cambridge University professor interested in analysis, combinatorics, arithmetic combinatorics, and "general questions about mathematics, and how it is discovered and transmitted  hence this blog." Posts, which date back to September, 2007
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 An Introduction to Analytic Number Theory  Ilan Vardi, with Cyril Banderier
Lecture notes by Ilan Vardi, IHES, BuressurYvette, December 14, 1998. Introduction; Dirichlet's theorem; The Prime Number Theorem; Chebyshev's bias; references.
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 Introduction to Analytic Number Theory  Noam Elkies
Lecture notes for a course given at Harvard in 1998.
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 Laurent Habsieger
A research associate at Laboratoire Algorithmique Arithmétique Expérimentale, Laurent Habsieger studies analytic number theory, coding theory, and combinatorics. Some articles on these topics are available for download in PostScript format.
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 The Mark of Zeta  Ivars Peterson (MathTrek)
How mathematicians delve into the mysteries of prime numbers, the relation Euler discovered between the zeta function and prime numbers, and the Riemann hypothesis: Riemann found that his zeta function is zero for the values 2, 4, 6, and so on, and
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 Mathematical constants and computation  Xavier Gourdon and Pascal Sebah
How famous mathematical constants were computed in the past, and current ways of obtaining them: pi, e, the logarithmic constant, square root of 2, Euler's constant, and Apery's constant. Also algorithms (arbitrary precision computation; FFT based multiplication
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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, nineteentone
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 Mathematics  John Savard
A collection of essays and illustrations: pentagonal tilings, infinity (Cantor's theory of transfinite numbers), rotations of the dodecahedron, Archimedean solids, the fourth dimension (regular polytopes), Gödel's proof and the halting problem, and
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 Matthew Conroy's Page of Mathematics  Matthew Conroy
An analytic number theorist's mathematical notes on the p + 1 problem, dice problems, a sequence related to a conjecture of Schinzel, statistics connected to the Grand Tours (Tour de France, Giro, and Vuelta), integer sequence noise, a Javabased dictionary
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 Plouffe's Inverter: Table of current records for the computation of constants
Classical constants: Pi, 1/Pi, E, Catalan, Zeta(3), Euler's gamma, log(2), Golden Ratio, Square root of 2, N'th binary digit computations, other interesting computations (Bernoulli numbers, Zeros of Riemann's Zeta Function, Madelung Constant, Khintchine
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 Poem about the Riemann Zeta Function  Tom Apostol
A poem about the zeta function and the Riemann hypothesis, linked to explanations of the important concepts by Chris Hughes.
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 Professor Badih Ghusayni's Books  Badih Ghusayni
Books include Solved Problems in Analysis: A Companion to Math Majors, and Number Theory from an Analytic Point of View (for amateurs and professionals alike). The latter work is also available in French.
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 The Published Data of Robert Munafo  Robert Munafo
Mathematical data includes MuEncy, The Encyclopedia of the Mandelbrot Set (History, Exploring, Area, Algorithms, Naming, etc), properties of specific numbers, such as 2.68542 . . . and 143, and very large numbers and ways to write them. Programs include
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 The Return of Zeta  Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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 Segments of Circles  Math Forum, Ask Dr. Math FAQ
Given partial information about a segment of a circle, how do you compute what you want to know?
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 What's New  Terence Tao, UCLA
Updates on Tao's research and expository papers, discussion of open problems, and other mathsrelated 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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 Zeta related functions and proof of Riemann's Hypothesis
Recent studies on Zeta functions and a proposed proof of Riemann's Hypothesis. Theorem of El'Melik; Proof of "Riemann's hypothesis" by above identities; Other Zeta related functions.
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