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Some mathematicians see beauty in mathematical results that establish connections between two areas of mathematics that at first sight appear to be unrelated. [5] These results are often described as deep. While it is difficult to find universal agreement on whether a result is deep, some examples are more commonly cited than others.
A Mathematician's Apology 1st edition Author G. H. Hardy Subjects Philosophy of mathematics, mathematical beauty Publisher Cambridge University Press Publication date 1940 OCLC 488849413 A Mathematician's Apology is a 1940 essay by British mathematician G. H. Hardy which defends the pursuit of mathematics for its own sake. Central to Hardy's "apology" – in the sense of a formal justification ...
The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
John Forbes Nash Jr. (June 13, 1928 – May 23, 2015), known and published as John Nash, was an American mathematician who made fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations.
[1] [5] Most of the photographs show the chalkboard in a moment drawn from the mathematician's work on it, [1] depicting how mathematicians think, work, and communicate with each other. [5] Some other photographs show chalk drawings that were deliberately created to be photographed for this book. The mathematicians themselves are not depicted. [1]
Hannah M. Fry HonFREng FIMA FIET (born 21 February 1984) is a British mathematician, author and broadcaster. As of 2025 she is the Professor of the Public Understanding of Mathematics at the University of Cambridge [3] and president of the Institute of Mathematics and its Applications (IMA). [4]
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The process of unification might be seen as helping to define what constitutes mathematics as a discipline. For example, mechanics and mathematical analysis were commonly combined into one subject during the 18th century, united by the differential equation concept; while algebra and geometry were considered largely distinct.
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