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.

  • New tool enables Nova Scotia lobster fishery to...
    on October 11, 2019 at 4:00 am

    (NOAA Northeast Fisheries Science Center) Researchers use long-term survey data sets and climate models to help fishing communities plan for a warmer ocean. US and Canadian researchers have developed a tool that incorporates projected changes in ocean climate onto a geographic fishery management area. Now fishermen, resource managers, and policy-makers can use it to plan for the future sustainability of the lobster fishery in Nova Scotia and Canadian waters of the Gulf of Maine.

  • Nanoscale manipulation of light leads to exciting...
    on October 11, 2019 at 4:00 am

    (University of New Mexico) Scientists in the Theoretical Nanophotonics Group at The University of New Mexico's Department of Physics and Astronomy have made an exciting new advancement to this end, in a pioneering research effort titled 'Analysis of the Limits of the Near-Field Produced by Nanoparticle Arrays,' published recently in the journal, ACS Nano, a top journal in the field of nanotechnology.

  • AI and big data predict which research will...
    on October 10, 2019 at 4:00 am

    (PLOS) An artificial intelligence/machine learning model to predict which scientific advances are likely to eventually translate to the clinic has been developed by Ian Hutchins and colleagues in the Office of Portfolio Analysis (OPA), a team led by George Santangelo at the National Institutes of Health (NIH). The work is described in a Meta-Research article published Oct. 10 in the open-access journal PLOS Biology,

  • New science on cracking leads to self-healing...
    on October 10, 2019 at 4:00 am

    (Princeton University, Engineering School) Cracks in the desert floor appear random to the untrained eye, even beautifully so, but the mathematics governing patterns of dried clay turn out to be predictable -- and useful in designing advanced materials.

  • Nanostructures help to reduce the adhesion of...
    on October 10, 2019 at 4:00 am

    (Saarland University) Scientists has shown how bacteria adhere to rough surfaces at the microscopic level. The team has discovered that precise analysis of the topographical composition of nanostructured surfaces provides a direct means of deriving the adhesive forces that bind bacteria to the surface. This discovery has opened up promising new avenues of research, including ways of combating the bacteria that are so hazardous in clinical environments. The results have been published in the […]

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