Math Archives Homepage
What's New on the Math Archives
March 2000
On this page you will find a chronicle of additions and changes of the items contained on the Mathematics Archives which were made during the month of March, 2000.

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The following links were added to the Trigonometry section of the Math Archives' Topics in Mathematics:

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The following links were added to the Calculus section of the Math Archives' Topics in Mathematics:
  • xFunctions xPresso
    ADD. KEYWORDS: animated graphs, parametric curves, derivatives, Riemann sums, integral curves, and 3D graphs


The following link was added to the Differential Geometry section of the Math Archives' Topics in Mathematics:

  • NonEuclid
    ADD. KEYWORDS: Hyperbolic plane, Poince disk model, Half plane model, Triangles, Lab explorations, Tessellations of the Plane, Areas


The following link was added to the Fractals section of the Math Archives' Topics in Mathematics:


The following link was added to the Logic and Set Theory section of the Math Archives' Topics in Mathematics:


The following links were added to the Topology section of the Math Archives' Topics in Mathematics:


The following link was added to the Math Archives' listing of Other Software Sites:

SnapPea
SnapPea is a program for creating and studying hyperbolic 3-manifolds.

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The following link was added to the Precalculus section of the Math Archives' Topics in Mathematics:


The following link was added to the Multivariable Calculus section of the Math Archives' Topics in Mathematics:

  • Introducing Curves ADD. KEYWORDS: Lecture notes, parametrization of curves, groups of isometries, length of a curve, implicitly defined plane curves, evolutes and involutes of plane curves, curvature, torsion and the Frenet-Serret equations, and the Fundamental Theorem of Space Curves

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The following links were added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:


The following link was added to the Complex Analysis section of the Math Archives' Topics in Mathematics:

  • Complex Numbers Made Easy...
    ADD. KEYWORDS: Addition, Multiplication, Division, Arg, Norm, Trigonometric functions, Inverse trigonometric functions, Exponential, Logarithm


The following links were added to the Fourier Analysis and Wavelets section of the Math Archives' Topics in Mathematics:


The following link was added to the Fractals section of the Math Archives' Topics in Mathematics:


The following links were added to the Logic and Set Theory section of the Math Archives' Topics in Mathematics:


The following link was added to the Ordinary Differential Equations section of the Math Archives' Topics in Mathematics:

  • Ordinary Differential Equations
    ADD. KEYWORDS: Numerical techniques, Applications to physics, Euler Method, The Leap-Frog Method, The Runge-Kutta Method, The Predictor-Corrector Method, The Intrinsic Method


The following links were added to the Probability section of the Math Archives' Topics in Mathematics:

  • Applets for the Cybergnostics project

    ADD. KEYWORDS: Chi-square Demonstration, Exponential Demonstration, Binomial Demonstration, Normal Approximation to the Binomial, Marden's regression, conditional probability, Confidence interval, Correlation demo, Power, F Demonstration
  • Introduct ory Probability
    ADD. KEYWORDS: Lecture Notes, Course Materials, Matlab, Lab Exercises


The following link was added to the Topology section of the Math Archives' Topics in Mathematics:

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The following link was added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:


The following link was added to the Algebra section of the Math Archives' Topics in Mathematics:

  • Understanding Algebra
    ADD. KEYWORDS: Text, The Numbers of Arithmetic, Introduction to Algebra, Word Problems, Graphing and Straight Lines, Systems of Linear Equations, Polynomials, Rational Expressions, Exponents and Roots, Quadratic Equations


The following link was added to the Art and Music section of the Math Archives' Topics in Mathematics:


The following links were added to the Calculus section of the Math Archives' Topics in Mathematics:


The following links were added to the Combinatorics section of the Math Archives' Topics in Mathematics:


The following links were added to the Dynamical Systems section of the Math Archives' Topics in Mathematics:


The following link was added to the Geometry section of the Math Archives' Topics in Mathematics:


The following link was added to the Linear Algebra section of the Math Archives' Topics in Mathematics:

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The following links were added to the Discrete Mathematics section of the Math Archives' Topics in Mathematics:


The following links were added to the Linear Programming / Nonlinear Programming / Optimization section of the Math Archives' Topics in Mathematics:

  • MP-TESTDATA SteinLib of Steiner Tree Problem Instances
  • OR-Library ADD. KEYWORDS: Test Data Sets, capacitated minimal spanning tree, graph colouring, graph planarisation, integer programming, linear ordering, linear programming, matching, matrix decomposition, network flow, nonlinear programming, scheduling, semidefinite programming, set covering, set partitioning, Steiner problem in graphs, stochastic programming, three-dimensional packing, time series forecasting, and the travelling salesman problem.
  • The Steiner Tree Page
    ADD. KEYWORDS: Bibliography, A list of researchers, Open problems, Software


The following links were added to the Number Theory section of the Math Archives' Topics in Mathematics:


The following link was added to the Topology section of the Math Archives' Topics in Mathematics:

  • Problems in Topological Graph Theory
    ADD. KEYWORDS: classical questions on genus, coloring graphs and maps, drawings and crossings, paths, cycles, and matchings, symmetries, locally planar embeddings, computation al complexity, book embeddings, representing graphs and embeddings, random topol ogical graph theory

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The following links were added to the Math Archives' Numbers page:
Irrationality proofs
Proofs that e, log(2) and pi are irrational are given.
Mathematical constants and computation
This site contains information on the computation and the algorithms for the computation of various numbers including pi, e, log(2), the square root of 2, Euler's constant gamma and Apery's constant.
Plouffe's inverter
Table of current records for the computation of constants including pi, 1/pi, e, Catalan, Zeta(3), log(2), golden ratio, and the sqaure ro ot of 2.
Tout L'Univers de Pi et de Pi-Phénomènes!
This French site contains all the information which you will ever need to know about the number pi. The history, mathematicians who have used pi, formulas for pi, etc. are provided.


The following links were added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:

  • The groups of order 64
    ADD. KEYWORDS: GAP, Listing of all groups of order 64, presentations, elements with their orders, number of conjugacy classes, nilpotency class, centre and commutator subgroup, automorphism and inner automorphism group and the lower central series.
  • O rders of non-abelian simple groups
    ADD. KEYWORDS: Scheme, Listings of groups, Sporadic Simple Groups, Groups of ranks 2 and 4


The following link was added to the Calculus section of the Math Archives' Topics in Mathematics:

  • The Gamma Function
    ADD. KEYWORDS: Weierstrass' formula, the Psi function, Euler's constant, Stirling's formula


The following link was added to the Geometry section of the Math Archives' Topics in Mathematics:


The following links were added to the Linear Programming / Nonlinear Programming / Optimization section of the Math Archives' Topics in Mathematics:


The following link was added to the Logic and Set Theory section of the Math Archives' Topics in Mathematic s:

  • Axiome du Choix (in French)
    ADD. KEYWORDS: Quelques variantes de l'axiome du choix.


The following links were added to the Number Theory section of the Math Archives' Topics in Mathematics:


The following link was added to the Numerical Analysis section of the Math Archives' Topics in Mathematics:

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The following link was added to the Calculus section of the Math Archives' Topics in Mathematics:


The following link was added to the Computational Geometry section of the Math Archives' Topics in Mathematics:

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The following link was added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:


The following links were added to the Mathematics Education section of the Math Archives' Topics in Mathematics:


The following links were added to the Number Theory section of the Math Archives' Topics in Mathematics:


The following link was added to the Math Archives' listing of K-12 resources in mathematics:

WNETSchool - Mathematics Lesson Plans
Our original lesson plans are developed by wNetSchool Master Teachers. Starting with tried-and-true lessons that work in the classroom, our Web-savvy teachers have built Web-based activities that use the rich resources of Thirteen/WNET and the Internet.

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The following links were added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:
  • The ECC Tutorials and Whitepapers
    ADD. KEYWORDS: Tutorials, Elliptic Curves, Finite Fields, Groups, Cryptology, Public Keys.
  • Introduction to Algebraic Geometry
    ADD. KEYWORDS: Lecture Notes, Algebraic sets, Hilbert's Nullstellensatz, varieties over algebraically closed fields, complex analytic manifolds, genus, divisors, linear series, line bundles and the Riemann-Roch theorem.
  • Modular forms lecture notes
    ADD. KEYWORDS: Serre's conjectures, Hecke algebras, The refined Eisenstein conjecture, New examples of modular icosahedral Artin representations, Component groups of optimal quotients, The Manin index of optimal new quotients, Motifs, Galois Cohomology

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The following link was added to the History of Mathematics and Mathematics Education sections of the Math Archives' Topics in Mathematics:

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The following link was added to the Mathematics Education section of the Math Archives' Topics in Mathematics:


The following link was added to the Number Theory section of the Math Archives' Topics in Mathematics:

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The following links were added to the Math Archives' Numbers page:
Egyptian Multiplication
Jim Loy discusses the method that Eqyptians used to multiply two numbers.
Roman Numerals
How do you add and divide with Roman numerals? Check out these pages.


The following link was added to the Abstract Algebra section of the Math Archives' Topics in Mathematics:

  • Course Notes - J.S. Milne
    ADD. KEYWORDS: Graduate courses on Group Theory, Fields and Galois Theory, Algebraic Number Theory, Class Field Theory, Modular Functions and Modular Forms, Elliptic Curves, Algebraic Geometry, Lectures on Etale Cohomology, Abelian Varieties


The following link was added to the Calculus section of the Math Archives' Topics in Mathematics:

  • Calculus and Differential Equations
    ADD. KEYWORDS: Collection of articles, Curvature, Intrinsic and Extrinsic, Radial Paths in Schwarzschild Spacetime, Integrating the Bell Curve, Compressor Stalls and Mobius Transformations, Dual Failures with General Densities, The Limit Paradox, Proof That PI is Irrational, Simple Proof that e is Irrational, etc.


The following link was added to the Combinatorics section of the Math Archives' Topics in Mathematics:

  • Combinatorics ADD. KEYWORDS: Collection of articles, Dedekind's Problem, Generating Function For Eulerian Numbers, Permutation Loops, Polyomino Enumerations, Powers of Primes Dividing Factorials, The Dartboard Sequence, Binary Games, 414298141056 Quarto Draws Suffice!, Additive and Multiplicative Partitions, Coloring The Edges of an Icosahedron, Cumulative Permutation Sequences, Center of Gravity With Integer Coordinates, and Unification of Eulerians and Binomials, etc.


The following link was added to the Dynamical Systems section of the Math Archives' Topics in Mathematics:


The following link was added to the Geometry section of the Math Archives' Topics in Mathematics:

  • Geometry ADD. KEYWORDS: Collection of articles, Constructing the Heptadecagon, Parabola Through Four Points, Curvature, Intrinsic and Extrinsic, Sphere Packing In Curved Space, Min-Energy Configurations of Electrons On A Sphere, Distinct Point Sets With Same Distances, Isospectral Sets In One Dimension, Generating Functions for Point Set Distances, Curvature of Linear Interpolation, Gravity Sextant, Platonic Solids and Plato's Theory of Everything, etc.


The following link was added to the History of Mathematics section of the Math Archives' Topics in Mathematics:

  • History of Mathematics
    ADD. KEYWORDS: Collection of articles, Zeno's Paradox of Motion, Archimedes and the Square Root of 3, Bertleson's Number, Euclid's Plan and Proposition 6, Legendre's Prime Number Conjecture, Mayan Numeration, The Dullness of 1729, The Helen of Mathematics, Berkeley and the Infidel, Newton's Birth Date and the Anni Mirabiles, etc.


The following link was added to the Logic and Set Theory section of the Math Archives' Topics in Mathematics:

  • Set Theory and Foundations ADD. KEYWORDS: Collection of articles, Representing Sets of Pure Order, Zeno's Paradox of Motion, Computation is Exclusive, What is Fuzzy Logic?, Continuous Turing Machines, Fractal Logic, Implicit Means, Infinite Descent versus Induction, Zeno's Fifth Paradox, etc.


The following links were added to the Number Theory section of the Math Archives' Topics in Mathematics:

  • The Erdos-Strauss Conjecture
  • Number Theory
    ADD. KEYWORDS: Collection of articles written by Kevin Brown, Identities for Linear Recurring Sequences, The Half-Totient Tree, Symmetric Pseudoprimes, Zeisel Numbers, The Jewel of Arithmetic: Quadratic Reciprocity, Highly Wilsonian Primes, Congruences on 4th Order Recurrences, Quadratic Congruences, Sums of Three Cubes, Congruences Involving the Totient Function, A Conjecture On The Fermat Function, Smith Numbers and Rhonda Numbers, Infinitely Many Rhondas, etc.
  • Pseudoprimes Based On The Symmetric Functions Of The Roots Of A Polynomial
    ADD. KEYWORDS: Article


The following link was added to the Ordinary Differential Equations section of the Math Archives' Topics in Mathematics:


The following link was added to the Probability and Statistics sections of the Math Archives' Topics in Mathematics:

  • Probability and Statistics
    ADD. KEYWORDS: Collection of articles, Evaluating Probabilities of Boolean Events, The Gambler's Ruin, Area Under the Bell Curve, The Poisson Distribution and Queues, Ratio Populations, Ratios of Normal Distributions, Failure Rates, MTBFs, All That and Boolean Expansion as Linear Interpolation, etc.

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The following link was added to the Art and Music section of the Math Archives' Topics in Mathematics:
  • Mirror Curves
    ADD. KEYWORDS: Symmetry, Tamil threshold designs, Tchokwe sand drawings, Leonardo da Vinci, Algorithms


The following links were added to the Topology section of the Math Archives' Topics in Mathematics:

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The following links were added to the Algebra section of the Math Archives' Topics in Mathematics:
  • Maths Online
    ADD. KEYWORDS: Drawing plane and coordinate system, Variables, terms, formulae, and identities, Equations, Analytic geometry, Functions
  • Maths Online - Sets


The following link was added to the Calculus section of the Math Archives' Topics in Mathematics:

  • Maths Online ADD. KEYWORDS: Differentiation, Power series, Nowhere differentiable functions, Integration, Fourier seriesi, Limiting processes


The following link was added to the Fourier Analysis section of the Math Archives' Topics in Mathematics:

  • Fast Transforms
    ADD. KEYWORDS: Wavelet transforms, Haar transform, Mallat transform, Trigonometric based transforms, Hartley Transform, Discrete cosine transform ( DCT), Non-trigonometric, non-wavelet transforms, Walsh transform, Hadamard transform, software


The following links were added to the Geometry section of the Math Archives' Topics in Mathematics:


The following links were added to the Topology section of the Math Archives' Topics in Mathematics:


The following links were added to the Trigonometry section of the Math Archives' Topics in Mathematics:

  • Maths Online - Trigonometry
    ADD. KEYWORDS: Trigonometric Functions, Law of Sines
  • Trigonometry Realms
    ADD. KEYWORDS: Tutorial, Right Triangle Solvers, Waves, Simple Harmonic Motion
  • Webtrig
    ADD. KEYWORDS: Tutorial, Introduction to angles, Graphs of the sine and cosine functions, Definition of the trigonometric functions, Trigonometric identities, Right triangle trigonometry, Trigonometric equations

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The following link was added to the Math Archives' page on Images and Mathematics:
Surfaces Beyond the Third Dimension
This web site documents the "Surfaces Beyond the Third Dimension" art exhibit hosted by the Providence Art Club in March and April of 1996. It featured computer-generated artwork designed by Tom Banchoff, in collaboration with Davide Cervone (now at Union College) and student associates at Brown University. These works combine computer graphics and mathematics to form images that are pleasing to the eye and challenging to the mind.


The following link was added to the Geometry section of the Math Archives' Topics in Mathematics:

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The following link was added to the Abstract Algebra and Linear Algebra sections of the Math Archives' Topics in Mathematics:

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Keith Mathews has upgraded his program CALC. CALC is a calculator program for doing arbitrary precision integer arithmetic and contains many commands which can be used for number-theoretic investigations.


The following link was added to the Algebra section of the Math Archives' Topics in Mathematics:


The following link was added to the Fourier Analysis section of the Math Archives' Topics in Mathematics:

The following link was added to the Mathematics Education section of the Math Archives' Topics in Mathematics:


The following link was added to the Math Archives' listing of Professional Societies:

The International Society for Boundary Elements
The International Society for Boundary Elements (ISBE) is a professional organisation for all researchers in Boundary Elements. It provides research literature from the field, information on international meetings and publications, and general news on the Boundary Element community.


The following link was added to the Math Archives' Undergraduates page and the listing of K-12 resources in mathematics:

MathNerds
MathNerds is a free service offering assistance in many areas of mathematics.


The following link was added to the Math Archives' listing of Other Software Sites:

Mathwise
Mathwise is an integrated learning environment for teaching undergraduate mathematics. It comprises mathematical and application modules, reference material, assessments and resource tools. These are integrated by a Courseware Management System, which handles cross referencing between the different components of the system. Mathwise modules are based on the SEFI (European Society for Engineering Education) syllabus, comprising mathematical topics taught in pre-university and first year university, together with a number of key topics in second-year university Science and Engineering courses.

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The following links were added to the Math Archives' listing of College and University Mathematics Departments:

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The following links were added to the Math Archives' listing of Other Software Sites:

ModelMaker
ModelMaker is an ideal tool for research, consultancy and teaching, providing a start to finish environment for numerical modeling. The software provides a click drag drop environment for modeling with differential and partial-differential equations. With ModelMaker it is easy to simulate, optimise and report your modeling hypothesis and results. Other features of interest include: Monte Carlo analysis, Simulated annealing, Sensitivity analysis, Minimisation, dll integration, stiff equation solver. A full free 30-day trial will be available for download.

Win-SSize
This site is distributing a beta copy of Winssize, a Windows-based software for sample size determination for health studies which was developed by the WHO Collaborating Centre for Health Informatics at the National University of Singapore for the World Health Organization.

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The following link was added to the Math Archives' listing of Other Software Sites:

TREEFROG Self-assessment System
TREEFROG is a rule-based system for students to practise their maths skills on. The PC-based system TREEFROG simply checks each step of the student's argument for consistency, and recognizes if the correct finishing point has been reached. The online prototype (which only covers polynomial algebra at present), gives rudimentary feedback using malrules if a mistake is made in a step.


Chronicles for the previous month:

February 2000