Ορίζουσα (Greek Wikipedia)

Analysis of information sources in references of the Wikipedia article "Ορίζουσα" in Greek language version.

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5archive.org

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ams.org

Bareiss, Erwin (1968). «Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination». Mathematics of computation 22 (102): 565–578. http://www.ams.org/journals/mcom/1968-22-103/S0025-5718-1968-0226829-0/S0025-5718-1968-0226829-0.pdf.

archive.org

Serge Lang (1971). Linear Algebra (2η έκδοση). Addison-Wesley. σελίδες 173, 191.
Campbell, H. (1971). Linear Algebra With Applications. Appleton Century Crofts. σελίδες 111–112.
Eves, H. (1990). An Introduction to the History of Mathematics. Saunders College Publishing. σελίδες 405, 493–494.
Muir, Sir Thomas (1906). The Theory of Determinants in the historical Order of Development. London: Macmillan and Co., Ltd.
Η πρώτη χρήση ασύμβατων ευθειών για να ορισθεί η ορίζουσα εμφανίστηκε στο: Cayley, Arthur (1841). «On a theorem in the geometry of position». Cambridge Mathematical Journal 2: 267–271. https://archive.org/details/sim_cambridge-and-dublin-mathematical-journal_the-cambridge-mathematical-journal_1841-05_2_6/page/n25.

books.google.com

Varadarajan, V. S (2004), Supersymmetry for mathematicians: An introduction, ISBN 978-0-8218-3574-6, http://books.google.com/?id=sZ1-G4hQgIIC&pg=PA116&dq=Berezinian#v=onepage&q=Berezinian&f=false
Cajori, F. http://books.google.com/books?id=bBoPAAAAIAAJ&pg=PA80#v=onepage&f=false. A History of Mathematics. σελ. 80.

doi.org

dx.doi.org

Ken Habgood; Itamar Arel (2012). «A condensation-based application of Cramerʼs rule for solving large-scale linear systems». Journal of Discrete Algorithms (10): 98–109. doi:10.1016/j.jda.2011.06.007.
Rote, Günter (2001). «Division-Free Algorithms for the Determinant and the Pfaffian: Algebraic and Combinatorial Approaches». Computational Discrete Mathematics 2122: 119–135. doi:10.1007/3-540-45506-X_9. http://page.inf.fu-berlin.de/~rote/Papers/pdf/Division-free+algorithms.pdf.
Fang, Xin Gui; Havas, George (1997). «On the worst-case complexity of integer Gaussian elimination». Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM, pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Αρχειοθετήθηκε από το πρωτότυπο στις 2011-08-07. https://web.archive.org/web/20110807042828/http://perso.ens-lyon.fr/gilles.villard/BIBLIOGRAPHIE/PDF/ft_gateway.cfm.pdf. Ανακτήθηκε στις 2013-06-06.

ens-lyon.fr

perso.ens-lyon.fr

Fang, Xin Gui; Havas, George (1997). «On the worst-case complexity of integer Gaussian elimination». Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM, pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Αρχειοθετήθηκε από το πρωτότυπο στις 2011-08-07. https://web.archive.org/web/20110807042828/http://perso.ens-lyon.fr/gilles.villard/BIBLIOGRAPHIE/PDF/ft_gateway.cfm.pdf. Ανακτήθηκε στις 2013-06-06.

fu-berlin.de

page.inf.fu-berlin.de

Rote, Günter (2001). «Division-Free Algorithms for the Determinant and the Pfaffian: Algebraic and Combinatorial Approaches». Computational Discrete Mathematics 2122: 119–135. doi:10.1007/3-540-45506-X_9. http://page.inf.fu-berlin.de/~rote/Papers/pdf/Division-free+algorithms.pdf.

ic.ac.uk

ee.ic.ac.uk

Οι αποδείξεις μπορούν να βρεθούν στο Brookes, Mike. «Matrix Reference Manual Proofs Section 3: Matrix Properties». Ανακτήθηκε στις 11 Φεβρουαρίου 2024.
Αυτές οι ταυτότητες βρίσκονται στην Brookes, Mike. «Matrix Reference Manual Proofs Section 3: Matrix Properties». Ανακτήθηκε στις 11 Φεβρουαρίου 2024.

jstor.org

Οι αποδείξεις δίνονται στο J.R. Silvester, Determinants of Block Matrices, Math. Gazette, 84 (2000), σ. 460–467, διαθέσιμες στην http://www.jstor.org/stable/3620776

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, J. J.· Robertson, E. F. (1996). «Matrices and determinants».

tripod.com

jeff560.tripod.com

John Aldrich. «Earliest Uses of Symbols for Matrices and Vectors». Ανακτήθηκε στις 11 Φεβρουαρίου 2024.

uoregon.edu

darkwing.uoregon.edu

A Brief History of Linear Algebra and Matrix Theory : http://darkwing.uoregon.edu/~vitulli/441.sp04/LinAlgHistory.html Αρχειοθετήθηκε 2011-12-23 στο Wayback Machine.

web.archive.org

Fang, Xin Gui; Havas, George (1997). «On the worst-case complexity of integer Gaussian elimination». Proceedings of the 1997 international symposium on Symbolic and algebraic computation. ISSAC '97. Kihei, Maui, Hawaii, United States: ACM, pp. 28–31. doi:10.1145/258726.258740. ISBN 0-89791-875-4. Αρχειοθετήθηκε από το πρωτότυπο στις 2011-08-07. https://web.archive.org/web/20110807042828/http://perso.ens-lyon.fr/gilles.villard/BIBLIOGRAPHIE/PDF/ft_gateway.cfm.pdf. Ανακτήθηκε στις 2013-06-06.
A Brief History of Linear Algebra and Matrix Theory : http://darkwing.uoregon.edu/~vitulli/441.sp04/LinAlgHistory.html Αρχειοθετήθηκε 2011-12-23 στο Wayback Machine.