Mathematics

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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

The Concise Oxford Dictionary of Mathematics (Christopher Clapham and James Nicholson), OneLook, Free Dictionary, Wiktionary

Thesaurus

General words relating to mathematics and geometry (MacMillan Dictionary), Roget’s II (Thesaurus.com), Merriam-Webster Thesaurus, Visuwords

Glossary

Glossary of Mathematical Terms (Story of Mathematics)

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. The research required to solve mathematical problems can take years or even centuries of sustained inquiry. Since the pioneering work of Giuseppe Peano, David Hilbert, and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. When those mathematical structures are good models of real phenomena, then mathematical reasoning often provides insight or predictions. Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid’s Elements. Mathematics continued to develop, for example in China in 300 BC, in India in AD 100, and in the Muslim world in AD 800, until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that continues to the present day. — Wikipedia (Math Skills)

Encyclopedia of Mathematics, David Darling’s Internet Encyclopedia of Science, Encyclopædia Britannica

Outline

Outline of Mathematics (Wikipedia)

Portal

Wolfram Mathworld

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Foundation

Philosophy

Internet Encyclopedia of Philosophy, Philosophy of Mathematics PhilPapers, Philosophy of Mathematics

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Preservation

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Participation

Education

Course

MIT OCW Mathematics
Introduction to Mathematical Thinking (Coursea)
OER Commons: Open Educational Resources

Community

Organization

Mathematical Association of America

News

AAAS EurekAlert
Scientific American

Book

ISBNdb

Government

Document

USA.gov

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Expression

Fun

Poem

OEDILF: The Omnificent English Dictionary In Limerick Form

More…

Scientific American - Math Science news and technology updates from Scientific American

New Math Research Group Reflects a Schism in the...
by Rachel Crowell on January 11, 2022 at 11:45 am
Critics accuse the organization of opposing efforts to stamp out inequity -- Read more on ScientificAmerican.com

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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.