- Solve This! - ThinkQuest 2003
Information about eight famous mathematicians, with interactive quizzes, static problems and games.
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- Solving the Quintic by Iteration [PDF] - Peter Doyle, Curt McMullen
This paper, which appeared in Acta Mathematica, gives explicitly a new solution to the quintic polynomial, in which the transcendental inversion of the icosahedral map (due to Hermite and Kronecker) is replaced by a purely iterative algorithm. The algorithm
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- Solving the Quintic with Mathematica - Wolfram, Inc.
Solving the Quintic - The impossibility of solving general quintics in radicals, Tschirnhaus's transformation, Klein's approach to the quintic, Solutions based on series, Solutions based on differential equations, Equations of higher degree. Steps to
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- Some Mathematical Works of the 17th & 18th Centuries - Ian Bruce
This website has a number of books in PDF format translated from Latin, as well as papers by Euler, Bernoulli, etc. The books translated include Briggs' Arithmetica Logarithmica, Trigonometria Britannica, Gregory's Optica Promota, Harriot's Praxis, and
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- Some Solid (Three-dimensional) Geometrical Facts about the Golden Section - Ron Knott
Phi and three-dimensional geometry - Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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- Sophie's Diary - Dora Musielak
Historical fiction based on mathematician Sophie Germain. Site includes book excerpts, a Spanish version of the main page, a press release, information about the author, favorite links, contact information, and illustrations from the book of Paris in
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- Sources in the history of algebra: arithmetical and recreational problems - Albrecht Heeffer
A comprehensive database of arithmetical and algebraical problems from sources before the 18th century, for research and educational use.
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- Special Relativity - MacTutor Math History Archives
Linked essay describing the history of special relativity from Newton's laws through Lorentz and Einstein, with 12 references (books/articles).
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- Spreading the Word - Keith Devlin (Devlin's Angle)
History of and commentary on early calculus texts. "The first calculus text hit the shelves in 1696. They have been growing steadily in size (if not mathematical content) ever since. That first genre-setting volume was Guillaume Francois Antoine de l'Hospital's
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- Square of the Hypotenuse - Ivars Peterson (MathTrek)
Some history of the legend of the discovery of the Pythagorean theorem: in his textbook The History of Mathematics, Roger Cooke of the University of Vermont describes how the Babylonians might have discovered the Pythagorean theorem more than 1,000 years
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- Srinivasa Ramanujan Aiyangar - S.Prasad
A short biography of Ramanujan, with links to related Web pages.
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- Srinivasa Ramanujan - Sociedad Andaluza de Educación Matemática THALES
Biografía de Ramanujan: Presentación; Formación; Trabajo; En Cambridge; Su obra; Bibliografía; Otras páginas de interés
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- Statistics & Probability (Funk & Wagnalls Multimedia Encyclopedia) - Lycos Zone: Mathematics
Short articles on probability and statistics, covering: average, Babson, demography, mode, Neumann, probability, queuing theory, statitics, and vital statistics.
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- Stealing Copernicus - Keith Devlin (Devlin's Angle)
The theft of a first edition copy of Nicolaus Copernicus's classic text De revolutionibus orbium coelestium ("On the revolution of the heavenly spheres") was the seventh such disappearance of this valuable work in recent years - a chain of thefts that
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- Student Math Projects, Interlochen Arts Academy - Taoufik Nadji, Malek Physix Inc.
Student essays on various math history topics from around the world. The pages are loaded with graphics, animations, and sounds, and (sometimes backgrounds that result in illegible text. Subjects covered include: Early Math Period (Egyptian, Chinese,
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- Studying Polyhedra - Suzanne Alejandre
What is a polyhedron? A definition and a Java applet to help in exploring the five regular polyhedra to find how many faces and vertices each has, and what polygons make up the faces. Also links to a page of information about buckyballs, stories written
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- Symbol, Form and Number in Ancient Egypt - Franz Gnaedinger
A book on early mathematics in Egypt, with some social and religious background. Includes a discussion of the use of Pythagorean triples in Egyptian architecture, and hypotheses on the calculation with unit fractions and the approximation of the area
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- 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,
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- Teaching with Original Historical Sources in Mathematics - Laubenbacher, Pengelley; Dept. of Mathematical Sciences, New Mexico State Univ.
Excerpts, many in .dvi or postscript formats, and links to extensive information from a book on teaching mathematics with original historical sources: courses, books, and materials available at the undergraduate and high school levels, work with school
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- Temple Circles - Ivars Peterson (MathTrek)
One tradition that flourished 200 years ago in Japan, during its period of isolation from the western world, involved Euclidean geometry. Scholars and others would inscribe geometric problems on wooden tablets, then hang the tablets under the eaves of
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- Thomas Harriot's manuscripts - MacTutor Math History Archives
Linked essay: Thomas Harriot died in 1621. He had published no mathematical or astronomical works during his lifetime, but he left his papers in reasonably good order and set out his wishes in his will that they should be properly edited and published.
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- Tides and Tide Prediction - Tony Phillips; Dept. of Mathematics, SUNY-Stony Brook
General information about tides and tide prediction: Priming/Lagging: a calculus with calculators exercise demonstrating the priming and lagging of the tides at Stony Brook. Samples of current tide predictions from the National Ocean Service. TideSounds:
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- Timelines and Scales of Measurement - Niel Brandt
TEX, DVI, PDF, Postscript, and ASCII files: Science / Technology History Timeline; Evolutionary / Geological Timeline; Cosmological Timeline; Scales of Measurement.
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- THE TITANIC: What Can Numbers Tell Us About Her Fatal Voyage? - Todd Atkins, Barbara McManus; Louisiana State University
What do you know about the Titanic, its passengers, and its crew? This Webquest, designed for students who have some familiarity with the use of spreadsheets for creating tables and graphs and with the use of databases for gathering information, explores
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- Topology Enters Mathematics - MacTutor Math History Archives
Linked essay describing the development of topology as a mathematical discipline from Euler through the early 20th century, including 17 references (books/articles).
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Tour: M.C. Escher - Life and Work - National Gallery of Art, Washington, DC
A tour of four virtual rooms devoted to the art of M. C. Escher. For each graphic a larger picture with accompanying commentary is available by clicking on a small picture. The gallery has more than 400 works by Escher with many images available on-line.
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- Tricky Crossings - Ivars Peterson (MathLand)
Have you heard the one about an itinerant entertainer traveling with a wolf, a goat, and a basket of cabbages? The showman comes to a river and finds a small boat that holds only himself and one passenger. For obvious reasons, he can't leave the wolf
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- The Trigonometric Functions - MacTutor Math History Archives
Linked essay sketching trigonometry from its beginnings out of the early correspondence between astronomy and mathematics through the 18th century, with 17 references (books/articles).
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- Triumph of the Nerds: A History of the Computer - Robert X. Cringely; PBS Online
A companion Web site for the Public Broadcasting System television special hosted by Robert Cringely, "Triumph of the Nerds: The Rise of Accidental Empires." Learn how youthful amateurs, hippies, and self-proclaimed "nerds" accidentally changed the world.
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- The Tunnel of Samos - Project MATHEMATICS!, California Institute of Technology
A videotape-and-workbook module that explores a basic topic in high school mathematics in ways that cannot be done at the chalkboard or in a textbook. This video describes a remarkable engineering work of ancient times: excavating a one-kilometer tunnel
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- Turn of the Screw - Ivars Peterson (MathTrek)
Mathematician Chris Rorres of Drexel University in Philadelphia has taken a close look at Vitruvius's specifications for constructing an Archimedes screw... Recent years have seen a revival of interest in the Archimedes screw, particularly for its proven,
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- Tversky's Legacy Revisited - Keith Devlin (Devlin's Angle)
"Amos Tversky died earlier this year. To mathematicians, the Stanford-based psychologist is best known for the research he did with his colleague Daniel Kahneman in the early 1970s, into the way people judge probabilities and estimate likely outcomes
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- Uncle Kenny's Mathematics Pronunciation Guide - Kent Kromarek
Billed as a "megametamathematical guide for proper American English
pronunciation of terms and names, for the diacritally challenged," this guide
includes many mathematicians and mathematical terms encountered in high school
and the first two years
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- Undergraduate Mathematics Resources (COMAP) - Consortium for Mathematics and Its Applications
Products developed in print, video, and multimedia formats, supporting the NCTM Standards. College undergraduate resources include real world mathematics texts and resources in print, video, software, and student contests. Products: Principles and Practices
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- Undusting Napier's Bones - Alexandros Diploudis; Heriot-Watt University, UK
Biographical information about the Scottish mathematician John Napier, generally considered the inventor of logarithms, with a Java simulation of Napier's bones, a method for performing arithmetic operations by the manipulation of rods (called "bones"
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- The United States and the Metric System - Office of Information Services, National Institute of Standards and Technology (NIST)
A capsule history, with questions and answers, a metric chocolate chip cookie recipe, and some sample size relations (kilogram of butter to pound, etc.).
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- VEE: The Visual Elements of Euclid - Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CD-ROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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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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- Views of the Solar System - Calvin J. Hamilton
A multimedia exploration of the Sun, planets, moons, comets, asteroids, meteorites, and more. Study the latest scientific information or the history of space exploration, rocketry, early astronauts, space missions, and spacecraft through an archive of
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- A visit to James Clerk Maxwell's House - MacTutor Math History Archives
Linked essay outlining the life and work of Edinburgh-born mathematician James Clerk Maxwell, with an outline of his childhood, pictures of his home, some mathematical poetry, and references (books/articles).
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- Waring Experiments - Ivars Peterson (MathLand)
You might suspect that, at some point, four squares would no longer be enough to express a given whole number. This reasonable supposition was overturned in seventeenth century, when Pierre de Fermat proved that every positive whole number can be expressed
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- WatchKnowLearn - Community Foundation of Northwest Mississippi
Thousands of free online math educational videos, categorized into topics such as mathematics for young learners, number operations, math in the real world, pre-calculus, math study skills and test prep, and history of math.
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- Web Hunt - Mary Gasch; Nerinx Hall, Webster Groves, MO
A Web-based hunt centering on non-European mathematics, with links provided to the mathematical contributions of a variety of cultures. Students may submit answers to their own teachers via an onsite form.
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- Weights and Measures - Jacques J. Proot
A reference work, with history and equivalencies for standard and unusual units. Contains: systems (metric); basic units (length, weight, time, temperature, and others); secondary units (area and volume); Physics (force, pressure, work & energy, power);
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- What is Mathematics: Goedel's Theorem and Around - Karlis Podnieks
An extended translation of Podnieks' book, published in 1992 in Russian. Contents include: Platonism, intuition and the nature of mathematics; Axiomatic set theory; First order arithmetic; Hilbert's Tenth problem; Incompleteness theorems; Around Goedel's
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- What Is Mathematics? - John M. Lawler, Dept. of Linguistics, Univ. of Michigan
Listings of links on Godel, Escher, and Bach, and other material related to Hofstadter's book by that name, from a math appreciation course.
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- Who was Marin Mersenne? - Luther Welsh
It was not until the mid 20th century that Mersenne became known primarily for his Prime Number Conjecture. Historically, he was much better known for his correspondence with leading scientists of the day. Interested in optics, he also been called the
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- Why 2001 Won't Be 2001 - Keith Devlin (Devlin's Angle)
"It's a good story... But how realistic is the behavior of HAL? We don't yet have computers capable of genuinely independent thought, nor do we have computers we can converse with using ordinary language. True, there have been admirable advances in systems
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- Why Does Back-to-School Imply Back to Math? - Keith Devlin (Devlin's Angle)
...in a world where everyone can afford a pocket calculator and a great many people seem to be successful in life with little or no mathematical ability or knowledge of science, why do we place so much emphasis on math and science?
Whatever the answer,
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- wNetSchool
A resource for K-12 teachers, with some information for adult education teachers (i.e., the GED exam). Subscribing to the site is free, but one may also enter without subscribing. wNetSchool provides lesson plans centered around the Internet or educational
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