Integral (English Wikipedia)

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

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archive.org

Integral calculus is a very well established mathematical discipline for which there are many sources. See Apostol 1967 and Anton, Bivens & Davis 2016, for example. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1 Anton, Howard; Bivens, Irl C.; Davis, Stephen (2016), Calculus: Early Transcendentals (11th ed.), John Wiley & Sons, ISBN 978-1-118-88382-2
Heath 2002. Heath, T. L., ed. (2002), The Works of Archimedes, Dover, ISBN 978-0-486-42084-4
(Originally published by Cambridge University Press, 1897, based on J. L. Heiberg's Greek version.)
Stillwell 1989, p. 131. Stillwell, John (1989), Mathematics and Its History, Springer, ISBN 0-387-96981-0
Cajori 1929, pp. 249–250; Fourier 1822, §231. Cajori, Florian (1929), A History Of Mathematical Notations Volume II, Open Court Publishing, ISBN 978-0-486-67766-8 {{citation}}: ISBN / Date incompatibility (help) Fourier, Jean Baptiste Joseph (1822), Théorie analytique de la chaleur, Chez Firmin Didot, père et fils, p. §231
Available in translation as Fourier, Joseph (1878), The analytical theory of heat, Freeman, Alexander (trans.), Cambridge University Press, pp. 200–201
Cajori 1929, p. 246. Cajori, Florian (1929), A History Of Mathematical Notations Volume II, Open Court Publishing, ISBN 978-0-486-67766-8 {{citation}}: ISBN / Date incompatibility (help)
Cajori 1929, p. 182. Cajori, Florian (1929), A History Of Mathematical Notations Volume II, Open Court Publishing, ISBN 978-0-486-67766-8 {{citation}}: ISBN / Date incompatibility (help)
Apostol 1967, p. 74. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 69. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 80. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 81. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 202. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 205. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 416. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 418. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Feller 1966, p. 1. Feller, William (1966), An introduction to probability theory and its applications, John Wiley & Sons
Feller 1966, p. 3. Feller, William (1966), An introduction to probability theory and its applications, John Wiley & Sons
Apostol 1967, pp. 88–89. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, pp. 111–114. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Apostol 1967, p. 116. Apostol, Tom M. (1967), Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra (2nd ed.), Wiley, ISBN 978-0-471-00005-1
Kahaner, Moler & Nash 1989, p. 144. Kahaner, David; Moler, Cleve; Nash, Stephen (1989), "Chapter 5: Numerical Quadrature", Numerical Methods and Software, Prentice Hall, ISBN 978-0-13-627258-8
Kahaner, Moler & Nash 1989, p. 147. Kahaner, David; Moler, Cleve; Nash, Stephen (1989), "Chapter 5: Numerical Quadrature", Numerical Methods and Software, Prentice Hall, ISBN 978-0-13-627258-8
Kahaner, Moler & Nash 1989, pp. 139–140. Kahaner, David; Moler, Cleve; Nash, Stephen (1989), "Chapter 5: Numerical Quadrature", Numerical Methods and Software, Prentice Hall, ISBN 978-0-13-627258-8

arxiv.org

Gonzalez, Jiu & Moll 2020. Gonzalez, Ivan; Jiu, Lin; Moll, Victor H. (1 January 2020), "An extension of the method of brackets. Part 2", Open Mathematics, 18 (1): 983–995, arXiv:1707.08942, doi:10.1515/math-2020-0062, ISSN 2391-5455, S2CID 222004668
Kempf, Jackson & Morales 2015. Kempf, Achim; Jackson, David M.; Morales, Alejandro H. (2015), "How to (path-)integrate by differentiating", Journal of Physics: Conference Series, 626 (1), IOP Publishing: 012015, arXiv:1507.04348, Bibcode:2015JPhCS.626a2015K, doi:10.1088/1742-6596/626/1/012015, S2CID 119642596

books.google.com

Cajori 1929, pp. 249–250; Fourier 1822, §231. Cajori, Florian (1929), A History Of Mathematical Notations Volume II, Open Court Publishing, ISBN 978-0-486-67766-8 {{citation}}: ISBN / Date incompatibility (help) Fourier, Jean Baptiste Joseph (1822), Théorie analytique de la chaleur, Chez Firmin Didot, père et fils, p. §231
Available in translation as Fourier, Joseph (1878), The analytical theory of heat, Freeman, Alexander (trans.), Cambridge University Press, pp. 200–201
Krantz 1991, p. 173. Krantz, Steven G. (1991), Real Analysis and Foundations, CRC Press, ISBN 0-8493-7156-2
Montesinos, Zizler & Zizler 2015, p. 355. Montesinos, Vicente; Zizler, Peter; Zizler, Václav (2015), An Introduction to Modern Analysis (illustrated ed.), Springer, ISBN 978-3-319-12481-0

doi.org

Dennis, David; Kreinovich, Vladik; Rump, Siegfried M. (1998-05-01). "Intervals and the Origins of Calculus". Reliable Computing. 4 (2): 191–197. doi:10.1023/A:1009989211143. ISSN 1573-1340.
Rich, Scheibe & Abbasi 2018. Rich, Albert; Scheibe, Patrick; Abbasi, Nasser (16 December 2018), "Rule-based integration: An extensive system of symbolic integration rules", Journal of Open Source Software, 3 (32): 1073, Bibcode:2018JOSS....3.1073R, doi:10.21105/joss.01073, S2CID 56487062
Gonzalez, Jiu & Moll 2020. Gonzalez, Ivan; Jiu, Lin; Moll, Victor H. (1 January 2020), "An extension of the method of brackets. Part 2", Open Mathematics, 18 (1): 983–995, arXiv:1707.08942, doi:10.1515/math-2020-0062, ISSN 2391-5455, S2CID 222004668
Kempf, Jackson & Morales 2015. Kempf, Achim; Jackson, David M.; Morales, Alejandro H. (2015), "How to (path-)integrate by differentiating", Journal of Physics: Conference Series, 626 (1), IOP Publishing: 012015, arXiv:1507.04348, Bibcode:2015JPhCS.626a2015K, doi:10.1088/1742-6596/626/1/012015, S2CID 119642596

harvard.edu

ui.adsabs.harvard.edu

Rich, Scheibe & Abbasi 2018. Rich, Albert; Scheibe, Patrick; Abbasi, Nasser (16 December 2018), "Rule-based integration: An extensive system of symbolic integration rules", Journal of Open Source Software, 3 (32): 1073, Bibcode:2018JOSS....3.1073R, doi:10.21105/joss.01073, S2CID 56487062
Kempf, Jackson & Morales 2015. Kempf, Achim; Jackson, David M.; Morales, Alejandro H. (2015), "How to (path-)integrate by differentiating", Journal of Physics: Conference Series, 626 (1), IOP Publishing: 012015, arXiv:1507.04348, Bibcode:2015JPhCS.626a2015K, doi:10.1088/1742-6596/626/1/012015, S2CID 119642596

liu.se

mai.liu.se

Dahlquist & Björck 2008, pp. 519–520. Dahlquist, Germund; Björck, Åke (2008), "Chapter 5: Numerical Integration", Numerical Methods in Scientific Computing, Volume I, Philadelphia: SIAM, archived from the original on 2007-06-15
Dahlquist & Björck 2008, pp. 522–524. Dahlquist, Germund; Björck, Åke (2008), "Chapter 5: Numerical Integration", Numerical Methods in Scientific Computing, Volume I, Philadelphia: SIAM, archived from the original on 2007-06-15

semanticscholar.org

api.semanticscholar.org

Rich, Scheibe & Abbasi 2018. Rich, Albert; Scheibe, Patrick; Abbasi, Nasser (16 December 2018), "Rule-based integration: An extensive system of symbolic integration rules", Journal of Open Source Software, 3 (32): 1073, Bibcode:2018JOSS....3.1073R, doi:10.21105/joss.01073, S2CID 56487062
Gonzalez, Jiu & Moll 2020. Gonzalez, Ivan; Jiu, Lin; Moll, Victor H. (1 January 2020), "An extension of the method of brackets. Part 2", Open Mathematics, 18 (1): 983–995, arXiv:1707.08942, doi:10.1515/math-2020-0062, ISSN 2391-5455, S2CID 222004668
Kempf, Jackson & Morales 2015. Kempf, Achim; Jackson, David M.; Morales, Alejandro H. (2015), "How to (path-)integrate by differentiating", Journal of Physics: Conference Series, 626 (1), IOP Publishing: 012015, arXiv:1507.04348, Bibcode:2015JPhCS.626a2015K, doi:10.1088/1742-6596/626/1/012015, S2CID 119642596

umich.edu

name.umdl.umich.edu

Burton 2011, p. 414; Leibniz 1899, p. 154. Burton, David M. (2011), The History of Mathematics: An Introduction (7th ed.), McGraw-Hill, ISBN 978-0-07-338315-6 Leibniz, Gottfried Wilhelm (1899), Gerhardt, Karl Immanuel (ed.), Der Briefwechsel von Gottfried Wilhelm Leibniz mit Mathematikern. Erster Band, Berlin: Mayer & Müller

web.archive.org

Dahlquist & Björck 2008, pp. 519–520. Dahlquist, Germund; Björck, Åke (2008), "Chapter 5: Numerical Integration", Numerical Methods in Scientific Computing, Volume I, Philadelphia: SIAM, archived from the original on 2007-06-15
Dahlquist & Björck 2008, pp. 522–524. Dahlquist, Germund; Björck, Åke (2008), "Chapter 5: Numerical Integration", Numerical Methods in Scientific Computing, Volume I, Philadelphia: SIAM, archived from the original on 2007-06-15

worldcat.org

search.worldcat.org

Dennis, David; Kreinovich, Vladik; Rump, Siegfried M. (1998-05-01). "Intervals and the Origins of Calculus". Reliable Computing. 4 (2): 191–197. doi:10.1023/A:1009989211143. ISSN 1573-1340.
Gonzalez, Jiu & Moll 2020. Gonzalez, Ivan; Jiu, Lin; Moll, Victor H. (1 January 2020), "An extension of the method of brackets. Part 2", Open Mathematics, 18 (1): 983–995, arXiv:1707.08942, doi:10.1515/math-2020-0062, ISSN 2391-5455, S2CID 222004668