Mathematics (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mathematics" in English language version.

Last modified: 10:09:30, 10 August 2026 (UTC)

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10388web.archive.org

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abelprize.no (Global: low place; English: low place)

"About the Abel Prize". The Abel Prize. Archived from the original on 2022-04-14. Retrieved 2022-01-23.

academia.edu (Global: 105^th place; English: 99^th place)

Peressini, Anthony (Sep 1999). Applying Pure Mathematics (PDF). Philosophy of Science. Proceedings of the 1998 Biennial Meetings of the Philosophy of Science Association. Part I: Contributed Papers. Vol. 66. pp. S1–S13. JSTOR 188757. Archived (PDF) from the original on 2024-01-02. Retrieved 2022-11-30.
Dorato, Mauro (2005). "Why are laws mathematical?" (PDF). The Software of the Universe, An Introduction to the History and Philosophy of Laws of Nature. Ashgate. pp. 31–66. ISBN 978-0-7546-3994-7. Archived (PDF) from the original on 2023-08-17. Retrieved 2022-12-05.
Rowan-Kenyon, Heather T.; Swan, Amy K.; Creager, Marie F. (Mar 2012). "Social Cognitive Factors, Support, and Engagement: Early Adolescents' Math Interests as Precursors to Choice of Career" (PDF). The Career Development Quarterly. 60 (1): 2–15. doi:10.1002/j.2161-0045.2012.00001.x. Archived (PDF) from the original on 2023-11-22. Retrieved 2022-11-29.

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Wigner, Eugene (1960). "The Unreasonable Effectiveness of Mathematics in the Natural Sciences". Communications on Pure and Applied Mathematics. 13 (1): 1–14. Bibcode:1960CPAM...13....1W. doi:10.1002/cpa.3160130102. S2CID 6112252. Archived from the original on February 28, 2011.
Ginammi, Michele (Feb 2016). "Avoiding reification: Heuristic effectiveness of mathematics and the prediction of the Ω^– particle". Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 53: 20–27. Bibcode:2016SHPMP..53...20G. doi:10.1016/j.shpsb.2015.12.001.
National Research Council (2003). "8". Beyond the Molecular Frontier: Challenges for Chemistry and Chemical Engineering. NAP.edu. pp. 71–73. Bibcode:2003nap..book10633N. doi:10.17226/10633. ISBN 978-0-309-16839-7. PMID 25032300.
Enquist, Magnus; Arak, Anthony (Nov 1994). "Symmetry, beauty and evolution". Nature. 372 (6502): 169–172. Bibcode:1994Natur.372..169E. doi:10.1038/372169a0. ISSN 1476-4687. PMID 7969448. S2CID 4310147. Archived from the original on 2022-12-28. Retrieved 2022-12-29.

alws.at (Global: low place; English: low place)

Hipólito, Inês Viegas (Aug 9–15, 2015). "Abstract Cognition and the Nature of Mathematical Proof". In Kanzian, Christian; Mitterer, Josef; Neges, Katharina (eds.). Realismus – Relativismus – Konstruktivismus: Beiträge des 38. Internationalen Wittgenstein Symposiums [Realism – Relativism – Constructivism: Contributions of the 38th International Wittgenstein Symposium] (PDF) (in German and English). Vol. 23. Kirchberg am Wechsel, Austria: Austrian Ludwig Wittgenstein Society. pp. 132–134. ISSN 1022-3398. OCLC 236026294. Archived (PDF) from the original on 2022-11-07. Retrieved 2024-01-17. (at ResearchGate Archived November 5, 2022, at the Wayback Machine)

amnh.org (Global: 454^th place; English: 907^th place)

digitallibrary.amnh.org

Armelagos, George (2000). "Take Two Beers and Call Me in 1,600 Years: Use of Tetracycline by Nubians and Ancient Egyptians". Natural History. 109 (5): 50–3. S2CID 89542474.

ams.org (Global: 434^th place; English: 249^th place)

ams.org

Dunne, Edward; Hulek, Klaus (Mar 2020). "Mathematics Subject Classification 2020" (PDF). Notices of the American Mathematical Society. 67 (3): 410–411. doi:10.1090/noti2052. eISSN 1088-9477. ISSN 0002-9920. LCCN sf77000404. OCLC 1480366. Archived (PDF) from the original on 2021-08-03. Retrieved 2024-02-03. The new MSC contains 63 two-digit classifications, 529 three-digit classifications, and 6,006 five-digit classifications.
Maurer, Stephen B. (1997). "What is Discrete Mathematics? The Many Answers". In Rosenstein, Joseph G.; Franzblau, Deborah S.; Roberts, Fred S. (eds.). Discrete Mathematics in the Schools. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science. Vol. 36. American Mathematical Society. pp. 121–124. doi:10.1090/dimacs/036/13. ISBN 0-8218-0448-0. ISSN 1052-1798. LCCN 97023277. OCLC 37141146. S2CID 67358543. Retrieved 2024-02-09.
Sevryuk 2006, pp. 101–109. Sevryuk, Mikhail B. (Jan 2006). "Book Reviews" (PDF). Bulletin of the American Mathematical Society. 43 (1): 101–109. doi:10.1090/S0273-0979-05-01069-4. Archived (PDF) from the original on 2006-07-23. Retrieved 2006-06-24.
Letourneau, Mary; Wright Sharp, Jennifer (Oct 2017). "AMS Style Guide" (PDF). American Mathematical Society. p. 75. Archived (PDF) from the original on 2022-12-08. Retrieved 2024-02-03.
Parshall, Karen Hunger (2022). "The American Mathematical Society and Applied Mathematics from the 1920s to the 1950s: A Revisionist Account". Bulletin of the American Mathematical Society. 59 (3): 405–427. doi:10.1090/bull/1754. S2CID 249561106. Archived from the original on 2022-11-20. Retrieved 2022-11-20.
Marker, Dave (Jul 1996). "Model theory and exponentiation". Notices of the American Mathematical Society. 43 (7): 753–759. Archived from the original on 2014-03-13. Retrieved 2022-11-19.
Riehm 2002, pp. 778–782. Riehm, Carl (Aug 2002). "The Early History of the Fields Medal" (PDF). Notices of the AMS. 49 (7): 778–782. Archived (PDF) from the original on 2006-10-26. Retrieved 2006-10-02.

mathscinet.ams.org

Alexander, Amir (Sep 2011). "The Skeleton in the Closet: Should Historians of Science Care about the History of Mathematics?". Isis. 102 (3): 475–480. doi:10.1086/661620. MR 2884913. PMID 22073771.
Kleiner, Israel (Dec 1991). "Rigor and Proof in Mathematics: A Historical Perspective". Mathematics Magazine. 64 (5). Taylor & Francis, Ltd.: 291–314. doi:10.1080/0025570X.1991.11977625. eISSN 1930-0980. ISSN 0025-570X. JSTOR 2690647. LCCN 47003192. MR 1141557. OCLC 1756877.
Trefethen, Lloyd N. (2008). "Numerical Analysis". In Gowers, Timothy; Barrow-Green, June; Leader, Imre (eds.). The Princeton Companion to Mathematics (PDF). Princeton University Press. pp. 604–615. ISBN 978-0-691-11880-2. LCCN 2008020450. MR 2467561. OCLC 227205932. Archived (PDF) from the original on 2023-03-07. Retrieved 2024-02-15.
Rao, C. Radhakrishna (1997) [1989]. Statistics and Truth: Putting Chance to Work (2nd ed.). World Scientific. pp. 3–17, 63–70. ISBN 981-02-3111-3. LCCN 97010349. MR 1474730. OCLC 36597731.
Rao, C. Radhakrishna (1981). "Foreword". In Arthanari, T.S.; Dodge, Yadolah (eds.). Mathematical programming in statistics. Wiley Series in Probability and Mathematical Statistics. New York: Wiley. pp. vii–viii. ISBN 978-0-471-08073-2. LCCN 80021637. MR 0607328. OCLC 6707805.

amstat.org (Global: low place; English: 7,313^th place)

ww2.amstat.org

"MAM2001 Essay". ww2.amstat.org. Archived from the original on 2024-05-19. Retrieved 2024-05-19.

analogmachine.org (Global: low place; English: low place)

euclid.analogmachine.org

Herbert M. Sauro. "The Beginning". Euclid's Elements.

archaeology.org (Global: 4,349^th place; English: 3,410^th place)

archive.archaeology.org

Slayman, Andrew (May 27, 1998). "Neolithic Skywatchers". Archaeology Magazine Archive. Archived from the original on 2011-06-05. Retrieved 2011-04-17.

archive.org (Global: 6^th place; English: 6^th place)

Kline 1990, Chapter 1. Kline, Morris (1990). Mathematical Thought from Ancient to Modern Times. New York: Oxford University Press. ISBN 978-0-19-506135-2.
Heath, Thomas Little (1981) [1921]. A History of Greek Mathematics: From Thales to Euclid. New York: Dover Publications. p. 1. ISBN 978-0-486-24073-2.
Sokal, Alan; Jean Bricmont (1998). Fashionable Nonsense. New York: Picador. ISBN 978-0-312-19545-8. OCLC 39605994.
Hardy, G. H. (1940). A Mathematician's Apology. Cambridge University Press. ISBN 978-0-521-42706-7. Retrieved 2022-11-22. {{cite book}}: ISBN / Date incompatibility (help) See also A Mathematician's Apology.

arxiv.org (Global: 49^th place; English: 31^st place)

Straume, Eldar (Sep 4, 2014). "A Survey of the Development of Geometry up to 1870". arXiv:1409.1140 [math.HO].

berkeley.edu (Global: 621^st place; English: 429^th place)

undsci.berkeley.edu

"The science checklist applied: Mathematics". Understanding Science. University of California, Berkeley. Archived from the original on 2019-10-27. Retrieved 2019-10-27.

books.google.com (Global: 3^rd place; English: 3^rd place)

Tiwari, Sarju (1992). "A Mirror of Civilization". Mathematics in History, Culture, Philosophy, and Science (1st ed.). New Delhi, India: Mittal Publications. p. 27. ISBN 978-81-7099-404-6. LCCN 92909575. OCLC 28115124. Retrieved 2025-11-13. It is unfortunate that two curses of mathematics--Numerology and Astrology were also born with it and have been more acceptable to the masses than mathematics itself.
Hilbert, David (1902). The Foundations of Geometry. Open Court Publishing Company. p. 1. doi:10.1126/science.16.399.307. LCCN 02019303. OCLC 996838. S2CID 238499430. Retrieved 2024-02-06.
Hartshorne, Robin (2000). "Euclid's Geometry". Geometry: Euclid and Beyond. Springer New York. pp. 9–13. ISBN 0-387-98650-2. LCCN 99044789. OCLC 42290188. Retrieved 2024-02-07.
Corry, Leo (2004). "Emmy Noether: Ideals and Structures". Modern Algebra and the Rise of Mathematical Structures (2nd revised ed.). Germany: Birkhäuser Basel. pp. 247–252. ISBN 3-7643-7002-5. LCCN 2004556211. OCLC 51234417. Retrieved 2024-02-08.
Riche, Jacques (2007). "From Universal Algebra to Universal Logic". In Beziau, J. Y.; Costa-Leite, Alexandre (eds.). Perspectives on Universal Logic. Milano, Italy: Polimetrica International Scientific Publisher. pp. 3–39. ISBN 978-88-7699-077-9. OCLC 647049731. Retrieved 2024-02-08.
Krömer, Ralph (2007). Tool and Object: A History and Philosophy of Category Theory. Science Networks – Historical Studies. Vol. 32. Germany: Springer Science & Business Media. pp. xxi–xxv, 1–91. ISBN 978-3-7643-7523-2. LCCN 2007920230. OCLC 85242858. Retrieved 2024-02-08.
Maurer, Stephen B. (1997). "What is Discrete Mathematics? The Many Answers". In Rosenstein, Joseph G.; Franzblau, Deborah S.; Roberts, Fred S. (eds.). Discrete Mathematics in the Schools. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science. Vol. 36. American Mathematical Society. pp. 121–124. doi:10.1090/dimacs/036/13. ISBN 0-8218-0448-0. ISSN 1052-1798. LCCN 97023277. OCLC 37141146. S2CID 67358543. Retrieved 2024-02-09.
Hales, Thomas C. (2014). "Turing's Legacy: Developments from Turing's Ideas in Logic". In Downey, Rod (ed.). Turing's Legacy. Lecture Notes in Logic. Vol. 42. Cambridge University Press. pp. 260–261. doi:10.1017/CBO9781107338579.001. ISBN 978-1-107-04348-0. LCCN 2014000240. OCLC 867717052. S2CID 19315498. Retrieved 2024-02-09.
Hamilton, Alan G. (1982). "Numbers". Numbers, Sets and Axioms: The Apparatus of Mathematics. Cambridge University Press. pp. 3–4. ISBN 978-0-521-28761-6. LCCN 82004206. OCLC 8283672. Retrieved 2025-11-13.
Johnson, Gary M.; Cavallini, John S. (Sep 1991). Phua, Kang Hoh; Loe, Kia Fock (eds.). Grand Challenges, High Performance Computing, and Computational Science. Singapore Supercomputing Conference'90: Supercomputing For Strategic Advantage. World Scientific. p. 28. LCCN 91018998. Retrieved 2022-11-13.
Ehret, Christopher (Jun 20, 2023). Ancient Africa: A Global History, to 300 CE. Princeton University Press. pp. 107–110. ISBN 978-0-691-24410-5.
Neugebauer, O. (Sep 17, 2004). A History of Ancient Mathematical Astronomy. Springer Science & Business Media. ISBN 978-3-540-06995-9.
Ore, Øystein (1988). Number Theory and Its History. Courier Corporation. pp. 19–24. ISBN 978-0-486-65620-5. Retrieved 2022-11-14.
Bellomo, Nicola; Preziosi, Luigi (Dec 22, 1994). Modelling Mathematical Methods and Scientific Computation. Mathematical Modeling. Vol. 1. CRC Press. p. 1. ISBN 978-0-8493-8331-1. Retrieved 2022-11-16.
Stewart, Ian (2018). "Mathematics, Maps, and Models". In Wuppuluri, Shyam; Doria, Francisco Antonio (eds.). The Map and the Territory: Exploring the Foundations of Science, Thought and Reality. The Frontiers Collection. Springer. pp. 345–356. doi:10.1007/978-3-319-72478-2_18. ISBN 978-3-319-72478-2. Retrieved 2022-11-17.
Mackay, A. L. (1991). Dictionary of Scientific Quotations. London: Taylor & Francis. p. 100. ISBN 978-0-7503-0106-0. Retrieved 2023-03-19.
Bishop, Alan (1991). "Environmental activities and mathematical culture". Mathematical Enculturation: A Cultural Perspective on Mathematics Education. Norwell, Massachusetts: Kluwer Academic Publishers. pp. 20–59. ISBN 978-0-7923-1270-3. Retrieved 2020-04-05.
Ferreirós, J. (2007). "Ό Θεὸς Άριθμητίζει: The Rise of Pure Mathematics as Arithmetic with Gauss". In Goldstein, Catherine; Schappacher, Norbert; Schwermer, Joachim (eds.). The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae. Springer Science & Business Media. pp. 235–268. ISBN 978-3-540-34720-0.
Asper, Markus (2009). "The two cultures of mathematics in ancient Greece". In Robson, Eleanor; Stedall, Jacqueline (eds.). The Oxford Handbook of the History of Mathematics. Oxford Handbooks in Mathematics. OUP Oxford. pp. 107–132. ISBN 978-0-19-921312-2. Retrieved 2022-11-18.
Silver, Daniel S. (2017). "In Defense of Pure Mathematics". In Pitici, Mircea (ed.). The Best Writing on Mathematics, 2016. Princeton University Press. pp. 17–26. ISBN 978-0-691-17529-4. Retrieved 2022-11-19.
Takase, M. (2014). "Pure Mathematics and Applied Mathematics are Inseparably Intertwined: Observation of the Early Analysis of the Infinity". A Mathematical Approach to Research Problems of Science and Technology. Mathematics for Industry. Vol. 5. Tokyo: Springer. pp. 393–399. doi:10.1007/978-4-431-55060-0_29. ISBN 978-4-431-55059-4. Retrieved 2022-11-20.
Wagh, Sanjay Moreshwar; Deshpande, Dilip Abasaheb (Sep 27, 2012). Essentials of Physics. PHI Learning Pvt. Ltd. p. 3. ISBN 978-81-203-4642-0. Retrieved 2023-01-03.
Zak, Paul J. (2010). Moral Markets: The Critical Role of Values in the Economy. Princeton University Press. p. 158. ISBN 978-1-4008-3736-6. Retrieved 2023-01-03.
Tobies, Renate; Neunzert, Helmut (2012). Iris Runge: A Life at the Crossroads of Mathematics, Science, and Industry. Springer. p. 9. ISBN 978-3-0348-0229-1. Retrieved 2015-06-20. [I]t is first necessary to ask what is meant by mathematics in general. Illustrious scholars have debated this matter until they were blue in the face, and yet no consensus has been reached about whether mathematics is a natural science, a branch of the humanities, or an art form.
Franklin, James (2009). Philosophy of Mathematics. Elsevier. pp. 104–106. ISBN 978-0-08-093058-9. Retrieved 2015-06-20.
Cajori, Florian (1893). A History of Mathematics. American Mathematical Society (1991 reprint). pp. 285–286. ISBN 978-0-8218-2102-2. Retrieved 2015-06-20. {{cite book}}: ISBN / Date incompatibility (help)
Devlin 2018, p. 3. Devlin, Keith (2018). Sets, Functions, and Logic: An Introduction to Abstract Mathematics (3 ed.). CRC Press. ISBN 978-1-4822-8602-1. Archived from the original on 2024-10-07. Retrieved 2024-10-04.
Endsley, Kezia (2021). Mathematicians and Statisticians: A Practical Career Guide. Practical Career Guides. Rowman & Littlefield. pp. 1–3. ISBN 978-1-5381-4517-3. Retrieved 2022-11-29.
Robson, Eleanor (2009). "Mathematics education in an Old Babylonian scribal school". In Robson, Eleanor; Stedall, Jacqueline (eds.). The Oxford Handbook of the History of Mathematics. OUP Oxford. ISBN 978-0-19-921312-2. Retrieved 2022-11-24.
Petkovi, Miodrag (Sep 2, 2009). Famous Puzzles of Great Mathematicians. American Mathematical Society. pp. xiii–xiv. ISBN 978-0-8218-4814-2. Retrieved 2022-11-25.
Weyl, Hermann (2015). Symmetry. Princeton Science Library. Vol. 47. Princeton University Press. p. 4. ISBN 978-1-4008-7434-7.
Steen, L. A. (2012). Mathematics Today Twelve Informal Essays. Springer Science & Business Media. p. 2. ISBN 978-1-4613-9435-8. Retrieved 2023-01-03.
Pitici, Mircea (2017). The Best Writing on Mathematics 2016. Princeton University Press. ISBN 978-1-4008-8560-2. Retrieved 2023-01-03.
Feferman, Solomon (1998). "Deciding the undecidable: Wrestling with Hilbert's problems" (PDF). In the Light of Logic. Logic and Computation in Philosophy series. Oxford University Press. pp. 3–27. ISBN 978-0-19-508030-8. Retrieved 2022-11-29.

britannica.com (Global: 37^th place; English: 64^th place)

"Abel Prize | mathematics award". Encyclopedia Britannica. Archived from the original on 2020-01-26. Retrieved 2022-01-23.

bu.edu (Global: 2,348^th place; English: 1,348^th place)

math.bu.edu

"Self-similarity". math.bu.edu. Archived from the original on 2023-03-02. Retrieved 2022-12-29.

byjus.com (Global: low place; English: low place)

"Calculus (Differential and Integral Calculus with Examples)". Byju's. Retrieved 2024-06-13.

cam.ac.uk (Global: 569^th place; English: 354^th place)

statslab.cam.ac.uk

Whittle 1994, pp. 10–11, 14–18. Whittle, Peter (1994). "Almost home". In Kelly, F.P. (ed.). Probability, statistics and optimisation: A Tribute to Peter Whittle (previously "A realised path: The Cambridge Statistical Laboratory up to 1993 (revised 2002)" ed.). Chichester: John Wiley. pp. 1–28. ISBN 978-0-471-94829-2. LCCN 93050774. OCLC 29595603. Archived from the original on 2013-12-19.

cambridge.org (Global: 209^th place; English: 151^st place)

Hales, Thomas; Adams, Mark; Bauer, Gertrud; Dang, Tat Dat; Harrison, John; Hoang, Le Truong; Kaliszyk, Cezary; Magron, Victor; Mclaughlin, Sean; Nguyen, Tat Thang; Nguyen, Quang Truong; Nipkow, Tobias; Obua, Steven; Pleso, Joseph; Rute, Jason; Solovyev, Alexey; Ta, Thi Hoai An; Tran, Nam Trung; Trieu, Thi Diep; Urban, Josef; Vu, Ky; Zumkeller, Roland (2017). "A Formal Proof of the Kepler Conjecture". Forum of Mathematics, Pi. 5 e2. doi:10.1017/fmp.2017.1. hdl:2066/176365. ISSN 2050-5086. S2CID 216912822. Archived from the original on 2020-12-04. Retrieved 2023-02-25.

cern.ch (Global: 2,552^nd place; English: 2,008^th place)

cds.cern.ch

Brown, Ronald; Porter, Timothy (1995). "The Methodology of Mathematics". The Mathematical Gazette. 79 (485): 321–334. doi:10.2307/3618304. JSTOR 3618304. S2CID 178923299. Archived from the original on 2023-03-23. Retrieved 2022-11-25.

claremont.edu (Global: low place; English: 6,768^th place)

scholarship.claremont.edu

Franklin, James (Jul 2017). "Discrete and Continuous: A Fundamental Dichotomy in Mathematics". Journal of Humanistic Mathematics. 7 (2): 355–378. doi:10.5642/jhummath.201702.18. hdl:1959.4/unsworks_53212. ISSN 2159-8118. LCCN 2011202231. OCLC 700943261. S2CID 6945363. Archived from the original on 2024-03-10. Retrieved 2024-02-09.

claymath.org (Global: low place; English: low place)

"The Millennium Prize Problems". Clay Mathematics Institute. Archived from the original on 2015-07-03. Retrieved 2022-01-23.
"Millennium Problems". Clay Mathematics Institute. Archived from the original on 2018-12-20. Retrieved 2022-01-23.

cmu.edu (Global: 2,125^th place; English: 1,347^th place)

andrew.cmu.edu

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