Portal:Mathematics

The Mathematics Portal

Pythagorean Theorem

Topology

Welcome to the Mathematics Portal! This page connects visitors to the learning resources that have been developed by various Wikiversity content development projects. Wikiversity participants who are interested in mathematics are invited to create and develop learning projects and learning resources and help organize them by developing this portal.

View a list of existing learning projects for mathematics: Mathematics learning projects.

Featured learning resource

Exercises at Introduction to differentiation lead participants through calculations of compound interest that introduce e (2.7182818284590...) and derivatives of functions.

Selected picture

Solutions of the Bessel differential equation.

Bessel functions arise in many mathematical models such as those for vibrating surfaces.

When mathematically analyzing a vibrating drum the boundary conditions lead to solutions that are harmonic functions. When using cylindrical coordinates, the solutions are sines, cosines or Bessel functions (in the radial direction).

See also:

• Continuum Mechanics

Selected research

Mersenne primes.

Marin Mersenne's name is widely known because of his interest in prime numbers that are one less than a power of two. Mersenne also did research in the area of the theory of music and musical instruments (see Wikipedia). Participants at Mersenne primes are encouraged to join the distributed computing project that allows the computing power of personal computers to help search for Mersenne prime numbers.

Did you know...

The red curve is a cycloid.

The Euler-Lagrange equation of classical mechanics was discovered during attempts to find a curve for which the time taken by a frictionless particle sliding down it under uniform gravity to its lowest point is independent of its starting point.

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Did you know that Wikiversity can never have enough examples and solved problems? Wikiversity does not always have to re-create the wheel. Do you know a good website with mathematics example problems? Wikiversity needs branches of the Hunter-gatherers project for each academic subject area. Please make note of good online mathematics resources at Hunter-gatherers/Mathematics and link to these resources from the appropriate mathematics pages of Wikiversity.

Example. Did you know that there is a wiki for mathematics example problems? See www.exampleproblems.com. How do participants in the mathematics area of Wikipedia feel about linking to .com websites?

Related portals

Many mathematics-related learning resources are for specific scientific sub-disciplines and can be found with the aid of other Wikiversity portals: Engineering and Technology - Life Sciences - Physical Sciences - Social Sciences - - General Science Portal

Content development projects

Mathematics-related content development projects exist on pages in "School:" or "Topic:" namespaces.

Schools: Mathematics - Computer Science - Economics - Olympiads

Topics: (Edit within the MathDeps Template)

Elementary Mathematics College Algebra Euclidean Geometry Ideas in Geometry High School Mathematics Introductory Algebra and Geometry Primary School Mathematics Trigonometry

Pure mathematics Algebra Algebraic Geometry Analysis Category Theory Graph Theory Mathematical Logic & Foundations Number Theory Philosophy of Mathematics Topology

Applied Mathematics Actuarial Mathematics Finance Applied Calculus, Analysis, and Differential Equations Board Game Studies Combinatorics Discrete Mathematics Engineering Mathematics Knot Theory Numerical Analysis Mathematical Physics Statistics

Categories

Browse learning resources in these categories: Algebra - Algorithms - Analysis - Applied Mathematics - Calculus - Complex Function Theory - College Algebra - Elementary Mathematics - Further Study, College Algebra - Further Study, Introduction to Limits - Geometry - Group theory - Higher Algebra - Introduction to Topology - Knot Theory - Mathematical Physics - Probability - Pure Math - Real Analysis - Representation Theory - School of Mathematics - Statistics - Vector Calculus

Mathematics learning projects

Boolean Algebra - College Algebra - Elementary Logic - Finite Arithmetic - Fourier transforms - Fundamentals of Probability, Statistics, Experiments and Data - Interpolation and Extrapolation - Introduction to Category Theory - Introduction to differentiation - Introduction to Simple Substitution Cypher - Introduction to Likelihood Theory - Introduction to Limits - Introduction to Statistical Analysis - Limits - Partial Derivatives - Simple Addition Flashcards - Study Guide:Lie Algebra - Synthetic division - The Special Cubic Formula - Vectors - 3D Geometric Algebra and Special Relativity - Topic:Calculus - Laboratory on Mathematics and Mathematics Education

Things you can do

To-do list for Portal:Mathematics:

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Here are some tasks you can do: Page requests: There should be a system that orders each learning resource according to a sequence from easy to advanced. Verify: Sources need to be cited. Content that is not significantly different from existing Wikipedia or Wikibooks content needs to be modified, hopefully by inclusion of learning activities for learners. Proof reading: Page name cleanup Other: Wikiversity open tasks

Mathematics news

Graphical representation of a dynamical system.

"Stephen Smale awarded Wolf Prize in mathematics" by Robert Sanders
Stephen Smale, known for his work on Topology, the study of dynamical systems and a list of 18 problems in mathematics to be solved in the 21st century, known as Smale's problems.

Quotes

"A man provided with paper, pencil, and rubber, and subject to strict discipline, is in effect a universal Turing Machine." -Alan Turing