popular mathematics
{{Short description|Mathematics for a general audience}}
{{broader|Popular science}}
{{further|Recreational mathematics}}
{{Unreferenced|date=January 2025}}
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=
- {{cite book | author=Charles Seife | title=Zero: The Biography of a Dangerous Idea | publisher=Souvenir Press | year=2000 | isbn=978-0-285-63594-4}}
- {{cite book | author=Robert Kaplan | title=The Nothing That Is: A Natural History of Zero | publisher=Oxford | year=2000 | isbn=978-0-19-514237-2}}
- {{cite book| author=Rintu Nath| title=Moments in Mathematics| url=http://www.vigyanprasar.gov.in/nmy2012/National_Mathematical_Year2012.htm| publisher=Vigyan Prasar, Department of Science and Technology (India)| isbn=978-81-7480-224-8| year=2013| url-status=dead| archive-url=https://web.archive.org/web/20151102045933/http://www.vigyanprasar.gov.in/nmy2012/National_Mathematical_Year2012.htm| archive-date=2015-11-02}}{{Circular reference|date=September 2015}}
=On infinity=
- {{cite book | author = Rózsa Péter | title = Playing with Infinity: Mathematical Explorations and Excursions | title-link = Playing with Infinity | publisher = Simon & Schuster | year = 1961}}
- Rucker, Rudy (1982), Infinity and the Mind: The Science and Philosophy of the Infinite; Princeton, N.J.: Princeton University Press. {{ISBN|978-0-691-00172-2}}.
- {{cite book | author=Brian Clegg | title=Brief History of Infinity: The Quest to Think the Unthinkable | publisher=Constable and Robinson | year=2003 | isbn=978-1-84119-650-3 | url-access=registration | url=https://archive.org/details/briefhistoryofin0000cleg }}
- {{cite book | author=Robert Kaplan & Ellen Kaplan | title=The Art of the Infinite: Our Lost Language of Numbers | publisher=Penguin | year=2004 | isbn=978-0-14-100886-8}}
- {{cite book | author=Eugenia Cheng | title=Beyond Infinity: An Expedition to the Outer Limits of Mathematics | publisher=Basic Books | year=2017 | isbn=978-0-465094813}}
=On constants=
- {{cite book | author=Petr Beckmann | title=A History of Pi | publisher=Saint Martin's Press | year=1976 | isbn=978-0-312-38185-1}}
- {{cite book | author=Eli Maor | title="e", The Story of a Number | publisher=Princeton | year=1998 | isbn=978-0-691-05854-2 | url-access=registration | url=https://archive.org/details/estoryofnumber0000maor_x8v0 }}
- {{cite book | author=Mario Livio | title=The Golden Ratio | publisher=Headline Review | year=2003 | isbn=978-0-7472-4988-7}}
- {{cite book | author=Julian Havil | title=Gamma | publisher=Princeton | year=2003 | isbn=978-0-691-09983-5}}
=On complex numbers=
- {{cite book | author=Paul J. Nahin|author-link=Paul J. Nahin | title=An Imaginary Tale: The Story of | publisher=Princeton | year=1998 | isbn=978-0691027951}}
- {{cite book | author=Paul J. Nahin|author-link=Paul J. Nahin | title=Dr. Euler's Fabulous Formula | publisher=Princeton | year=2006 | isbn=978-0-691-11822-2}}
=On the Riemann hypothesis=
- {{cite book |author=John Derbyshire | title=Prime Obsession | publisher=Plume Books | year=2004 | isbn=978-0-452-28525-5}}
- {{cite book |author=Marcus du Sautoy |title=The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics|year=2003|publisher=Harper Collins |isbn=0-06-093558-8}}
- {{cite book |author=Paul J. Nahin |title=In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem | date=2021 | isbn=978-0-691-22759-7 | publisher=Princeton University Press}}
- {{cite book |author=Dan Rockmore | title=Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers| publisher=Vintage | year=2006 | isbn=0-375-72772-8}}
- {{cite book |author=Karl Sabbagh | title=Dr Riemann's Zeros | publisher=Atlantic Books | year=2002 | isbn=1-84354-100-9}}
=On recently solved problems=
- {{cite book | author=Robin J. Wilson | title=Four Colours Suffice | publisher=Penguin | year=2003 | isbn=978-0-14-100908-7}}
- {{cite book | author=Simon Singh | title=Fermat's Last Theorem | publisher=Fourth Estate | year=2002 | isbn=1-84115-791-0}}
- {{cite book | author=Donal O'Shea | title=The Poincaré Conjecture | publisher=Penguin | year=2007 | isbn=978-1-84614-012-9}}
- {{cite book | author=George G. Szpiro | author-link= George Szpiro | title=Kepler's Conjecture | publisher=Wiley | year=2003 | isbn=0-471-08601-0}}
- {{cite book | author=George G. Szpiro | author-link= George Szpiro | title=Poincaré's Prize | url=https://archive.org/details/poincarsprizehun0000szpi | url-access=registration | publisher= Dutton | year=2007}}
=On classification of finite simple groups=
- {{cite book | author=Mario Livio | title=The Equation That Couldn't Be Solved | publisher=Souvenir Press | year=2006 | isbn=978-0-285-63743-6}}
- {{cite book | author=Mark Ronan | title=Symmetry and the Monster | publisher=Oxford | year=2006 | isbn=0-19-280722-6}}
=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=
- {{cite book |title=What is Mathematics?: An Elementary Approach to Ideas and Methods |author=Richard Courant and Herbert Robbins |location=London |publisher=Oxford University Press |year=1941 |isbn=0-19-502517-2}}
- {{cite book |title=Mathematics for the General Reader|author=Edward C. Titchmarsh |publisher=Dover Publications |year= 1948 |isbn=0486813924}}
=Biographies=
- {{cite book | author=Paul Hoffman | title=The Man Who Loved Only Numbers | publisher=Fourth Estate | year=1998 | isbn=1-85702-811-2}}
- {{cite book | author=Bruce Schechter | title=My Brain is Open: The Mathematical Journeys of Paul Erdos | publisher=Simon & Schuster | year=2000 | isbn=0-684-85980-7 }}
- {{cite book | author=Robert Kanigel | title=The Man Who Knew Infinity: A Life of the Genius Ramanujan | url=https://archive.org/details/manwhoknewinfini00kani_1 | url-access=registration | publisher=Washington Square Press | year=1991 | isbn=0-671-75061-5}}
- {{cite book | author=Siobhan Roberts | title=King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry | publisher=Walker Books | year=2006 | isbn=0-887-84201-1}}
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:
- {{Interlanguage link multi|Haus der Mathematik|de}}, Wien
In Germany:
- Arithmeum, Bonn
- Mathematisch-Physikalischer Salon, Dresden
- Mathematikum, Gießen
- {{Interlanguage link multi|Experiminta|de}}, Frankfurt on Main
- {{Interlanguage link multi|Virtuelles Freiberger Museum für Mathematik und Kunst|de}}, Freiberg
- {{Interlanguage link multi|MiMa Mineralien- und Mathematikmuseum|de}}, Oberwolfach
In Italy:
{{Areas of mathematics}}
References
{{Reflist}}