Popular mathematics is mathematical presentation aimed at a general audience. Sometimes this is in the form of books which require no mathematical background and in other cases it is in the form of expository articles written by professional mathematicians to reach out to others working in different areas.
Notable works of popular mathematics
Some of the most prolific popularisers of mathematics include Keith Devlin, Rintu Nath, Martin Gardner, and Ian Stewart. Titles by these three authors can be found on their respective pages.
On zero
On infinity
Rucker, Rudy (1982), Infinity and the Mind: The Science and Philosophy of the Infinite; Princeton, N.J.: Princeton University Press. .
On constants
On complex numbers
On the Riemann hypothesis
On recently solved problems
On classification of finite simple groups
On higher dimensions
Rucker, Rudy (1984), The Fourth Dimension: Toward a Geometry of Higher Reality; Houghton Mifflin Harcourt.
On introduction to mathematics for the general reader
Biographies
Magazines and journals
Popular science magazines such as New Scientist and Scientific American sometimes carry articles on mathematics. Plus Magazine is a free online magazine run under the Millennium Mathematics Project at the University of Cambridge.
The journals listed below can be found in many university libraries.
American Mathematical Monthly is designed to be accessible to a wide audience. The Mathematical Gazette contains letters, book reviews and expositions of attractive areas of mathematics. Mathematics Magazine offers lively, readable, and appealing exposition on a wide range of mathematical topics. The Mathematical Intelligencer is a mathematical journal that aims at a conversational and scholarly tone. Notices of the AMS - Each issue contains one or two expository articles that describe current developments in mathematical research, written by professional mathematicians. The Notices also carries articles on the history of mathematics, mathematics education, and professional issues facing mathematicians, as well as reviews of books, plays, movies, and other artistic and cultural works involving mathematics.
Audio and video
Simon Singh's Fermat's Last Theorem is available in audio and there is also a Horizon television program. 3Blue1Brown, YouTube channel by Grant Sanderson. Mathologer, YouTube channel by Burkard Polster. Numberphile, YouTube channel by Brady Haran. BetterExplained, YouTube channel and website by Kalid Azad.
Museums
Several museums aim at enhancing public understanding of mathematics:
In the United States: Museum of Mathematics, New York, and its predecessor, the Goudreau Museum of Mathematics in Art and Science,
In Austria: , Wien
In Germany: Arithmeum, Bonn Mathematisch-Physikalischer Salon, Dresden Mathematikum, Gießen , Frankfurt on Main , Freiberg , Oberwolfach
In Italy: The Garden of Archimedes