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Wolfram Math World: Cosine
Graphs of the cosine function, both 2-dimensional and 3-dimensional. Higher level mathematics applications given, including defining the hyperbolic cosine function, the cosine function as an infinite sum and infinite product, and more.
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Wolfram Math World: Math World: Geometric Construction
Offers an explanation of what a geometric construction is and what some of the tools are that are used for it, including the traditional straightedge and compass. The site explains how to construct various polygons inscribed within a...
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Wolfram Math World: Pythagorean Triple
This site provides extensive information about Pythagorean triples. It begins by explaining its relation to the Pythagorean theorem, and then gives ways to generate Pythagorean triples using relatively prime numbers and Fibonacci numbers.
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Wolfram Math World: I
The imaginary number (also called the imaginary unit) is defined as the square root of negative one. This site explains the rational for the existence of the imaginary number "i" and gives formulas involving "i" including Euler's...
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Wolfram Math World: Sphere
This webpage thoroughly discusses the math of spheres. Includes the equation for a sphere in Cartesian and spherical coordinates as well as parametrically. Surface Area, volume, and curvature are addressed at this extensive site.
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Wolfram Alpha: Examples for Discrete Mathematics
Discrete mathematics deals with areas of mathematics that are discrete, as opposed to continuous, in nature. Sequences and series, counting problems, graph theory and set theory are some of the many branches of mathematics in this...
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Wolfram Math World: Subset
MathWorld provides the definition, with examples, of a subset. Click on any of the highlighted words for the MathWorld definition.
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Wolfram Math World: Clairaut's Difference Equation
This page from Mathworld.com gives a very brief statement of Alexis Claude Clairaut's Difference Equation, also called Clairaut's Differential Equation. (This equation is a special case of Lagrange's Equation.) Includes special links.
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Wolfram Math World: Laplace Limit
This page gives a brief explanation of the Laplace limit, the value of "e" "for which Laplace's formula for solving Kepler's equation begins diverging."
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Wolfram Math World: Lagrange Inversion Theorem
This page briefly states the Lagrange Inversion Theorem, developed by French mathematician Joseph Louis Lagrange. Includes complicated equations, formulas, and a bibliography.
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Wolfram Math World: Derangements
This MathWorld page discusses derangements, which are permutations in which no elements appear in their "natural" places. Includes helpful examples and formulas for calculating possible derangements and provides helpful examples.
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Wolfram Math World: Topics of Permutation
This MathWorld site is a lite to link to a multitude of sites involving permutations. Look through to find your specific needs. If you are looking at this site with regards to a probability and statisics class you will probably want to...
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Wolfram Math World: Transpositions
Page briefly discusses transposition, which is "an exchange of two elements of an ordered list with all others staying the same." Provides a definition, examples, and a bibliography.
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Wolfram Math World: Four Color Theorem
A great discussion of the Four Color Theorem and its history.
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Wolfram Math World: Complex Plane
This math site gives a visual representation of a complex plane with several values plotted, the site explains that any complex number can be plotted on such a plane. The site contains links to related words and topics.
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Wolfram Math World: Geometric Sequence
This MathWorld site, an online training tool, provides a definition and an example of a geometric sequence and how it operates. Other math-related topics available.
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Wolfram Math World: Histogram
This MathWorld site offers a clear definition and examples of a histogram.
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Wolfram Science World: Descartes, Rene (1596 1650)
This biographical site on Descartes explains some of the French scientific philosopher Decartes' beliefs and findings. This site has links to other famous mathematicians who influenced him as well.
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Wolfram Math World: Chord
Describes what a chord is and shows a diagram and shows how to find areas using integral calculus.
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Wolfram Math World: Series
This page gives a great overview of series in mathematics, including a definition of convergence and divergence. Provides links to more information about specific types of series.
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Wolfram Math World: Platonic Solids
This site, which is provided for by Math World, is a lengthy site describing the various properties and mathematical explanations of the figures.
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Wolfram Math World: Math World: Hexagon
Gives a detailed overview of hexagons, particularly of regular hexagons. Be sure to use the links for unfamiliar notation or variable representation. This site gives formulas for inner radius, circumradius, parameter, and area of a...
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Wolfram Math World: Cissoid
This site explains what a cissoid is in mathematics and its literal meaning in the english language. The site then names seven different Cissoids and the two curves and pole which create each of these named Cissoids.
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Wolfram Math World: Cube Dissection
Math World provides an interesting discussion of cube dissection, and includes a very useful set of illustrations on the concept.