# Spotlight

# Resources

These are organized by a classification scheme developed exclusively for *Cosma*. More…

## General

### Portal

*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, Urban Dictionary

*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*

Mathematicsis 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, Britannica

*Outline*

Outline of Mathematics (Wikipedia)

*Search*

*Philosophy*

Internet Encyclopedia of Philosophy, Philosophy of MathematicsPhilPapers, Philosophy of Mathematics

## Preservation

### History

See more “Story of Maths” on Youtube…

The Story of Mathematics

New IBM App Presents Nearly 1,000 Years of Math History (Alexandra Chang, Wired)

*Quotation*

### Museum

National Museum of Mathematics (YouTube Channel)

### Library

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

## Participation

### Education

*Course*

MIT OCW Mathematics

Introduction to Mathematical Thinking (Coursea)

OER Commons: Open Educational Resources

### Community

*Organization*

Mathematical Association of America

*News*

AAAS EurekAlertScientific American

*Book*

### Government

*Document*

## Expression

### Fun

*Poem*

OEDILF: The Omnificent English Dictionary In Limerick Form

### More…

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

- Gnarly, Centuries-Old Mathematical Quandaries Get...by Rachel Crowell on October 14, 2021 at 10:45 am
A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics -- Read more on ScientificAmerican.com

- Simple Mathematical Law Predicts Movement in...by Viviane Callier on October 7, 2021 at 10:45 am
A new model could help model disease transmission and urban planning -- Read more on ScientificAmerican.com

- Infinity Category Theory Offers a Bird's-Eye View...by Emily Riehl on September 14, 2021 at 2:00 pm
Mathematicians have expanded category theory into infinite dimensions, revealing new connections among mathematical concepts -- Read more on ScientificAmerican.com

- A Deep Math Dive into Why Some Infinities Are...by Martin Goldstern, Jakob Kellner on August 16, 2021 at 12:00 pm
The size of certain infinite sets has been a mystery. Now, it turns out, each one is different than the next, and they can all be ordered by size -- Read more on ScientificAmerican.com

- Modern Mathematics Confronts Its White,...by Rachel Crowell on August 12, 2021 at 1:00 pm
Mathematicians want to think their field is a meritocracy, but bias, harassment and exclusion persist -- Read more on ScientificAmerican.com