Mathematics

Cosma / Communication / Knowledge / Form / Innovation / Mathematics

I’m very well acquainted too with matters mathematical,
I understand equations, both the simple and quadratical,
About binomial theorem I’m teeming with a lot of news–
With many cheerful facts about the square of the hypotenuse.
Gilbert & Sullivan The Pirates of Penzance

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Introduction1

Dictionary

mathematics : the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations — Webster   See also OneLook

Thesaurus

General words relating to mathematics and geometry (MacMillan Dictionary)

Roget’s II (Thesaurus.com), Merriam-Webster Thesaurus, Visuwords

Encyclopedia

Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity. — Wikipedia

Encyclopedia of Mathematics (The European Mathematical Society, Springer)
Wolfram MathWorld (Eric Weisstein, Wolfram Research)
PlanetMath (University of Waterloo Faculty of Mathematics)

Mathematics (Encyclopædia Britannica)

Outline

Mathematics Subject Classification – MSC2020 (Mathematical Reviews & zbMATH)

Portal

Mathematics Resources on the Internet (Bruno Kevius)

Search

Wolfram Alpha (Wolfram Research)
Wolfram Alpha (Wikipedia)

Mathematics (WolframAlpha)

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Foundation

Wolfram MathWorld — Foundations of Mathematics (Eric Weisstein, Wolfram Research)

Philosophy

Philosophia Mathematica

Philosophy of Mathematics (Øystein Linnebo & Sam Roberts, PhilPapers)
Philosophy of Mathematics (Internet Encyclopedia of Philosophy)

Philosophy of Mathematics (New World Encyclopedia)
Philosophy of Mathematics (Encyclopædia Britannica)

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Innovation

Science

The science checklist applied: Mathematics (Understanding Science, University of California Museum of Paleontology)

Technology

Comparison of numerical-analysis software (Wikipedia)

MATLAB (MathWorks), MATLAB (Wikipedia)
GNU Octave (John W. Eaton), GNU Octave (Wikipedia)
Mathcad (Mathsoft, PTC), Mathcad (Wikipedia)
Maple (Maplesoft), Maple (Wikipedia)

Mathematica (Wolfram Research), Mathematica (Wikipedia)

Commerce

Entrepreneurship

Math Campaigns@Kickstarter
Math Campaigns@Indiegogo

Product

Math Gifts@Zazzle

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Preservation

History

International Commission on the History of Mathematics (International Mathematical Union)
Historia Mathematica

British Society for the History of Mathematics

Wolfram MathWorld — History (Eric Weisstein, Wolfram Research)
Mathematics History (Encyclopædia Britannica)

Mathematics History (National Science Digital Library)

Quotation

Mathematical Quotations Server (Mark Woodard, Furman University)

Quotations Page

Library

WorldCat, Library of Congress, UPenn Online Books, Open Library

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Participation

Education

Mathematics Standards (Common Core)
Principles and Standards for School Mathematics (National Council of Teachers of Mathematics)
Classroom Resources (National Council of Teachers of Mathematics)

Curriculum Resources (Mathmatical Association of America)
Mathematics Resources (Centre for Innovation in Mathematics Teaching)
Mathematics Education (National Science Digital Library)
Math Texts (OpenStax, Rice University)

Mathematics Sites (Great Sites for Kids, American Library Association)
Math Central (University of Regina)
Mathematics (PBS Learning Media)
Mathematics Classroom Resources (Annenberg Learner)
Polypad (Mathigon)
Math Posters (Glogpedia)

MERLOT: Multimedia Educational Resource for Learning and Online Teaching
OER Commons: Open Educational Resources

Course

Online Math Classes (edX, MIT Department of Mathematics)
Mathematics Courses (MIT Opencourseware)

Math & Logic Courses (Coursera)
Introduction to Mathematical Thinking (Stanford, Coursea)

Community

Organization

International Mathematical Union
Mathmatical Association of America
American Mathematical Society
European Mathematical Society

News

Publications (Mathmatical Association of America)
Publications (American Mathematical Society)

Mathematics (AAAS EurekAlert)
Mathematics (arXiv)
Plus Magazine (University of Cambridge)
Math (Scientific American)

Book

ISBNdb

Government

American Institute of Mathematics

Document

USA.gov

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Expression

Fun

Recreational Mathematics (Wolfram MathWorld, Wolfram Research)

Hobby

Origami (Discover a Hobby)

Arts

Visual Arts

You’ve Never Seen Pi Like This (Jefferson Mok, Popular Science)
The Boundless Beauty of Pi (Amanda Montañez, Scientific American)

The art of Pi (Martin Krzywinski, Genome Sciences Centre, BC Cancer Research Center)
Martin Krzywinski (Genome Sciences Centre, BC Cancer Research Center)

Beautiful Symetry: A Coloring Book about Math (Alex Berke)
Beautiful Symetry: A Coloring Book about Math (Online)
Beautiful Symmetry: A Coloring Book about Math (MIT Press)

Mathematical Imagery (American Mathematical Society)
Mathematics in Art (Wolfram MathWorld, Wolfram Research)

Poem

OEDILF: The Omnificent English Dictionary In Limerick Form

Music

How a little mathematics can help create some beautiful music (Andrew J. Milne & Steffen A. Herff, The Conversation)
Mathematics in Music (Wolfram MathWorld, Wolfram Research)

returntotop

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Related

Here are links to pages about closely related subjects.

Knowledge Form

Innovation Creativity, Mathematics
Science Research, Discovery
Technology Invention, Intellectual Property
Commerce Entrepreneurship, Product

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Notes

1.   The resources on this page are are organized by a classification scheme developed exclusively for Cosma.