Equality (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Equality (mathematics)" in English language version.

refsWebsite

Global rank English rank

16archive.org

6^th place

6doi.org

2^nd place

5books.google.com

3^rd place

5stanford.edu

179^th place

183^rd place

4web.archive.org

1^st place

3encyclopediaofmath.org

3,863^rd place

2,637^th place

3britannica.com

40^th place

58^th place

3worldcat.org

5^th place

3springer.com

274^th place

309^th place

2sciencing.com

9,593^rd place

6,574^th place

1oxfordreference.com

938^th place

658^th place

1openlibrary.org

325^th place

255^th place

1merriam-webster.com

209^th place

191^st place

1etymonline.com

287^th place

321^st place

1st-andrews.ac.uk

1,547^th place

1,410^th place

1academia.edu

121^st place

142^nd place

1mathopenref.com

low place

1ucdavis.edu

1,873^rd place

1,347^th place

1doverpublications.com

low place

1uni-goettingen.de

2,594^th place

2,546^th place

1semanticscholar.org

11^th place

8^th place

1oracle.com

1,514^th place

1,024^th place

1washington.edu

1,067^th place

749^th place

1compart.com

low place

1axler.net

low place

1jstor.org

26^th place

20^th place

1ams.org

451^st place

277^th place

academia.edu

Marcus, Solomon; Watt, Stephen M. "What is an Equation?". Retrieved 27 February 2019.

ams.org

mathscinet.ams.org

Hofmann, Martin; Streicher, Thomas (1998). "The groupoid interpretation of type theory". In Sambin, Giovanni; Smith, Jan M. (eds.). Twenty Five Years of Constructive Type Theory. Oxford Logic Guides. Vol. 36. Clarendon Press. pp. 83–111. ISBN 978-0-19-158903-4. MR 1686862.

archive.org

Recorde, Robert (1557). The Whetstone of Witte. London: Jhon Kyngstone. p. 3 of "The rule of equation, commonly called Algebers Rule". OL 17888956W.
Derbyshire, John (2006). Unknown Quantity: A Real And Imaginary History of Algebra. Joseph Henry Press. p. 35. ISBN 0-309-09657-X.
Peano, Giuseppe (1889). Arithmetices principia: nova methodo (in Latin). Fratres Bocca. pp. XIII. Archived from the original on 15 July 2009.
L.s. Stebbing (1930). A Modern Introduction To Logic. pp. 168–169.
Heath, Thomas L. (1956). The Thirteen Books of Euclid's Elements. Vol. 1 (Books I and II) (2nd ed.). New York: Dover Publications. p. 222. ISBN 0-486-60088-2.
Henry Sinclair Hall, Samuel Ratcliffe Knight. Algebra for Beginners, 1895, p. 52
Mendelson 1964, p. 82-83. Mendelson, Elliott (1964). Introduction to Mathematical Logic. Princeton, N.J.: Van Nostrand. ISBN 978-0-442-05300-0.
Burali-Forti, Cesare (1894). Logica matematica [Mathematical logic] (in Italian). University of California. Ulrico Hoepli. p. 120. Archived from the original on 1 August 2009.
Stoll, Robert R. (1979). Set Theory and Logic. New York: Dover Publications. p. 390. ISBN 9780486638294. Archived from the original on 6 August 2014.
Mendelson 1964, p. 5 Mendelson, Elliott (1964). Introduction to Mathematical Logic. Princeton, N.J.: Van Nostrand. ISBN 978-0-442-05300-0.
Breuer, Josef (1958). Introduction to the Theory of Sets. Internet Archive. Englewood Cliffs, N.J., Prentice-Hall. p. 4. A set is a collection of definite distinct objects of our perception or of our thought, which are called elements of the set.
Stoll, Robert (1974). Sets, Logic and Axiomatic Theories. W. H. Freeman and Company. pp. 5. ISBN 9780716704577.
Lévy 2002, pp. 13, 358. Mac Lane & Birkhoff 1999, p. 2. Mendelson 1964, p. 5. Lévy, Azriel (2002) [1979]. Basic set theory. Mineola, New York: Dover Publications. ISBN 978-0-486-42079-0. Mac Lane, Saunders; Birkhoff, Garrett (1999) [1967]. Algebra (Third ed.). Providence, Rhode Island: American Mathematical Society. Mendelson, Elliott (1964). Introduction to Mathematical Logic. Princeton, N.J.: Van Nostrand. ISBN 978-0-442-05300-0.
Mendelson 1964, pp. 159–161. Rosser 2008, pp. 211–213 Mendelson, Elliott (1964). Introduction to Mathematical Logic. Princeton, N.J.: Van Nostrand. ISBN 978-0-442-05300-0. Rosser, John Barkley (2008) [1953]. Logic for mathematicians. Mineola, New York: Dover Publication. ISBN 978-0-486-46898-3.
Fraenkel, Abraham Adolf (1973). Foundations of set theory. Internet Archive. Amsterdam : Noord-Hollandsche U.M. p. 27. ISBN 978-0-7204-2270-2.
Pinter, Charles C. (2010). A Book of Abstract Algebra. Internet Archive. Mineola, N.Y. : Dover Publications. p. 114. ISBN 978-0-486-47417-5.

axler.net

linear.axler.net

Axler, Sheldon. Linear Algebra Done RIght (PDF). Springer. p. 86.

books.google.com

Bird, John (16 April 2014). Engineering Mathematics, 7th ed. Routledge. p. 65. ISBN 978-1-317-93789-0.
Peano, Giuseppe (1889). Arithmetices principia: nova methodo (in Latin). Fratres Bocca. pp. XIII. Archived from the original on 15 July 2009.
Burali-Forti, Cesare (1894). Logica matematica [Mathematical logic] (in Italian). University of California. Ulrico Hoepli. p. 120. Archived from the original on 1 August 2009.
Fitting, M., First-Order Logic and Automated Theorem Proving (Berlin/Heidelberg: Springer, 1990), pp. 198–200.
Hofmann, Martin; Streicher, Thomas (1998). "The groupoid interpretation of type theory". In Sambin, Giovanni; Smith, Jan M. (eds.). Twenty Five Years of Constructive Type Theory. Oxford Logic Guides. Vol. 36. Clarendon Press. pp. 83–111. ISBN 978-0-19-158903-4. MR 1686862.

britannica.com

"E | Definition, Value, Constant, Series, & Facts | Britannica". www.britannica.com. Retrieved 13 January 2025.
"Identity of indiscernibles | Leibniz's Law, Indiscernibility & Philosophy | Britannica". www.britannica.com. Retrieved 12 January 2025.
"Isomorphism | Group Theory, Algebraic Structures, Equivalence Relations | Britannica". www.britannica.com. 25 November 2024. Retrieved 12 January 2025.

compart.com

"Find all Unicode Characters from Hieroglyphs to Dingbats – Unicode Compart".

doi.org

"Equality (n.), sense 3". Oxford English Dictionary. 2023. doi:10.1093/OED/1127700997. A relation between two quantities or other mathematical expressions stating that the two are the same; (also) an expression of such a relation by means of symbols, an equation.
Zermelo, Ernst (1908). "Untersuchungen über die Grundlagen der Mengenlehre I". Mathematische Annalen. 65 (2): 261–281. doi:10.1007/bf01449999. S2CID 120085563.
Ferreirós, José (2007). "Labyrinth of Thought, Diffusion, Crisis, and Bifurcation: 1890 to 1914". Birkhäuser Verlag: 299. doi:10.1007/978-3-7643-8350-3. ISBN 978-3-7643-8349-7.
Ferreirós, José (2007). "Labyrinth of Thought". Birkhäuser Verlag: 366. doi:10.1007/978-3-7643-8350-3. ISBN 978-3-7643-8349-7. [...] the most common axiom system was and is called the Zermelo-Fraenkel system.
Hungerford, Thomas W. (1974). "Algebra". Graduate Texts in Mathematics. 73. doi:10.1007/978-1-4612-6101-8. ISBN 978-1-4612-6103-2. ISSN 0072-5285.
Eilenberg, S.; Mac Lane, S. (1942). "Group Extensions and Homology". Annals of Mathematics. 43 (4): 757–831. doi:10.2307/1968966. ISSN 0003-486X. JSTOR 1968966.

doverpublications.com

store.doverpublications.com

Stoll, Robert R. (1979). Set Theory and Logic. New York: Dover Publications. p. 390. ISBN 9780486638294. Archived from the original on 6 August 2014.

encyclopediaofmath.org

Grishin, V.N. (originator). "Equality axioms". Encyclopedia of Mathematics. Springer-Verlag. ISBN 1402006098.
Sobolev, S.K. (originator). "Equation". Encyclopedia of Mathematics. Springer. ISBN 1402006098.
Equation. Springer Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Equation&oldid=32613

etymonline.com

"Equality". Etymonline. Retrieved 16 December 2024.

jstor.org

Eilenberg, S.; Mac Lane, S. (1942). "Group Extensions and Homology". Annals of Mathematics. 43 (4): 757–831. doi:10.2307/1968966. ISSN 0003-486X. JSTOR 1968966.

mathopenref.com

"Identity – math word definition – Math Open Reference". www.mathopenref.com. Retrieved 1 December 2019.

merriam-webster.com

"Equal". Merriam-Webster. Archived from the original on 15 September 2020. Retrieved 9 August 2020.

openlibrary.org

Recorde, Robert (1557). The Whetstone of Witte. London: Jhon Kyngstone. p. 3 of "The rule of equation, commonly called Algebers Rule". OL 17888956W.

oracle.com

docs.oracle.com

"Numerical Computation Guide". Archived from the original on 6 April 2016. Retrieved 16 June 2013.

oxfordreference.com

Clapham, Christopher; Nicholson, James (2009). "distinct". The Concise Oxford Dictionary of Mathematics. Oxford University Press. ISBN 978-0-19-923594-0. Retrieved 13 January 2025.

sciencing.com

"The History of Equality Symbols in Math". Sciencing. 24 April 2017. Archived from the original on 14 September 2020. Retrieved 9 August 2020.
Seehorn, Ashley (24 April 2017). "The History Of Equality Symbols In Math". Sciencing. Retrieved 20 December 2024.

semanticscholar.org

api.semanticscholar.org

Zermelo, Ernst (1908). "Untersuchungen über die Grundlagen der Mengenlehre I". Mathematische Annalen. 65 (2): 261–281. doi:10.1007/bf01449999. S2CID 120085563.

springer.com

link.springer.com

Ferreirós, José (2007). "Labyrinth of Thought, Diffusion, Crisis, and Bifurcation: 1890 to 1914". Birkhäuser Verlag: 299. doi:10.1007/978-3-7643-8350-3. ISBN 978-3-7643-8349-7.
Ferreirós, José (2007). "Labyrinth of Thought". Birkhäuser Verlag: 366. doi:10.1007/978-3-7643-8350-3. ISBN 978-3-7643-8349-7. [...] the most common axiom system was and is called the Zermelo-Fraenkel system.
Hungerford, Thomas W. (1974). "Algebra". Graduate Texts in Mathematics. 73. doi:10.1007/978-1-4612-6101-8. ISBN 978-1-4612-6103-2. ISSN 0072-5285.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, J. J.; Robertson, E. F. (2002). "Robert Recorde". MacTutor History of Mathematics Archive. Archived from the original on 29 November 2013. Retrieved 19 October 2013.

stanford.edu

plato.stanford.edu

Deutsch, Harry and Pawel Garbacz, "Relative Identity", The Stanford Encyclopedia of Philosophy (Fall 2024 Edition), Edward N. Zalta & Uri Nodelman (eds.), forthcoming URL: https://plato.stanford.edu/entries/identity-relative/#StanAccoIden
Noonan, Harold; Curtis, Ben (2022). "Identity". In Zalta, Edward N.; Nodelman, Uri (eds.). The Stanford Encyclopedia of Philosophy (Fall 2022 ed.). Metaphysics Research Lab, Stanford University. Retrieved 11 January 2025.
Forrest, Peter, "The Identity of Indiscernibles", The Stanford Encyclopedia of Philosophy (Winter 2020 Edition), Edward N. Zalta (ed.), URL: https://plato.stanford.edu/entries/identity-indiscernible/#Form
French, Steven (2019). "Identity and Individuality in Quantum Theory". Stanford Encyclopedia of Philosophy. ISSN 1095-5054.
Marquis, Jean-Pierre (2019). "Category Theory". Stanford Encyclopedia of Philosophy. Department of Philosophy, Stanford University. Retrieved 26 September 2022.

ucdavis.edu

math.ucdavis.edu

Lankham, Isaiah; Nachtergaele, Bruno; Schilling, Anne (21 January 2007). "Some Common Mathematical Symbols and Abbreviations (with History)" (PDF). University of California, Davis.

uni-goettingen.de

gdz.sub.uni-goettingen.de

Zermelo, Ernst (1908). "Untersuchungen über die Grundlagen der Mengenlehre I". Mathematische Annalen. 65 (2): 261–281. doi:10.1007/bf01449999. S2CID 120085563.

washington.edu

faculty.washington.edu

Kerre, Etienne E.; De Cock, Martine (2001). "Approximate Equality is no Fuzzy Equality" (PDF).

web.archive.org

"Equal". Merriam-Webster. Archived from the original on 15 September 2020. Retrieved 9 August 2020.
"The History of Equality Symbols in Math". Sciencing. 24 April 2017. Archived from the original on 14 September 2020. Retrieved 9 August 2020.
O'Connor, J. J.; Robertson, E. F. (2002). "Robert Recorde". MacTutor History of Mathematics Archive. Archived from the original on 29 November 2013. Retrieved 19 October 2013.
"Numerical Computation Guide". Archived from the original on 6 April 2016. Retrieved 16 June 2013.

worldcat.org

search.worldcat.org

French, Steven (2019). "Identity and Individuality in Quantum Theory". Stanford Encyclopedia of Philosophy. ISSN 1095-5054.
Hungerford, Thomas W. (1974). "Algebra". Graduate Texts in Mathematics. 73. doi:10.1007/978-1-4612-6101-8. ISBN 978-1-4612-6103-2. ISSN 0072-5285.
Eilenberg, S.; Mac Lane, S. (1942). "Group Extensions and Homology". Annals of Mathematics. 43 (4): 757–831. doi:10.2307/1968966. ISSN 0003-486X. JSTOR 1968966.