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



Wolfram Mathworld


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


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


Glossary of Mathematical Terms (Story of Mathematics)


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, Britannica


Outline of Mathematics (Wikipedia)




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



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)


Quotations Page


National Museum of Mathematics (YouTube Channel)


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




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



Mathematical Association of America


AAAS EurekAlert
Scientific American








OEDILF: The Omnificent English Dictionary In Limerick Form



EurekAlert! - Mathematics and Statistics The premier online source for science news since 1996. A service of the American Association for the Advancement of Science.

  • Promising computer simulations for stellarator...
    on September 18, 2020 at 4:00 am

    (Max-Planck-Institut für Plasmaphysik (IPP)) The turbulence code GENE (Gyrokinetic Electromagnetic Numerical Experiment), developed at Max Planck Institute for Plasma Physics (IPP) at Garching, Germany, has proven to be very useful for the theoretical description of turbulence in the plasma of tokamak-type fusion devices. Extended for the more complex geometry of stellarator-type devices, computer simulations with GENE now indicate a new method to reduce plasma turbulence in stellarator […]

  • Size and sleep: New research reveals why little...
    on September 18, 2020 at 4:00 am

    (Santa Fe Institute) Using data from humans and other mammals, a team of scientists including researchers from the Santa Fe Institute has developed one of the first quantitative models that explains why sleep times across species and during development decrease as brains get bigger. Crucially, the model identifies a sharp transition at around 2.4 years of age, where sleep patterns change in humans as the primary purpose of sleep shifts from reorganization, which is essentially learning, to […]

  • Chaotic "Lévy walks" are a good strategy for...
    on September 17, 2020 at 4:00 am

    (RIKEN) A paper published in the Proceedings of the National Academy of Science (PNAS) explains the advantage that animals have of using a specific type of chaotic type of movement called a "Lévy walk," and how this type of behavior emerges. Using computer modeling, the author shows that this type of movement can allow animals to make flexible decisions between "exploitation" and "exploring" in an environment.

  • Detaching and uplifting, not bulldozing
    on September 17, 2020 at 4:00 am

    (ETH Zurich) ETH researchers have used a computer model to test a new hypothesis about the formation of the Alps while simulating seismic activity in Switzerland. This will help improve current earthquake risk models.

  • Mathematical modelling to prevent fistulas
    on September 17, 2020 at 4:00 am

    (Linköping University) It is better to invest in measures that make it easier for women to visit a doctor during pregnancy than measures to repair birth injuries. This is the conclusion from two mathematicians at LiU, using Uganda as an example.

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