Imaginary unit (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Imaginary unit" in English language version.
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americanscientist.org (Global: 7,231st place; English: 5,635th place)
- Silver, Daniel S. (November–December 2017). "The New Language of Mathematics". American Scientist. 105 (6): 364–371. doi:10.1511/2017.105.6.364.
archive.org (Global: 6th place; English: 6th place)
- Stubbings, George Wilfred (1945). Elementary vectors for electrical engineers. London: I. Pitman. p. 69. Boas, Mary L. (2006). Mathematical Methods in the Physical Sciences (3rd ed.). New York [u.a.]: Wiley. p. 49. ISBN 0-471-19826-9.
- Boyer, Carl B.; Merzbach, Uta C. (1991). A History of Mathematics. John Wiley & Sons. pp. 439–445. ISBN 978-0-471-54397-8.
books.google.com (Global: 3rd place; English: 3rd place)
- Doxiadēs, Apostolos K.; Mazur, Barry (2012). Circles Disturbed: The interplay of mathematics and narrative (illustrated ed.). Princeton University Press. p. 225. ISBN 978-0-691-14904-2 – via Google Books.
- Bunch, Bryan (2012). Mathematical Fallacies and Paradoxes (illustrated ed.). Courier Corporation. p. 31-34. ISBN 978-0-486-13793-3 – via Google Books.
- Kramer, Arthur (2012). Math for Electricity & Electronics (4th ed.). Cengage Learning. p. 81. ISBN 978-1-133-70753-0 – via Google Books.
- Picciotto, Henri; Wah, Anita (1994). Algebra: Themes, tools, concepts (Teachers' ed.). Henri Picciotto. p. 424. ISBN 978-1-56107-252-1 – via Google Books.
- Nahin, Paul J. (2010). An Imaginary Tale: The story of "i" [the square root of minus one]. Princeton University Press. p. 12. ISBN 978-1-4008-3029-9 – via Google Books.
davidhestenes.net (Global: low place; English: low place)
- The interpretation of the imaginary unit as the ratio of two perpendicular vectors was proposed by Hermann Grassmann in the foreword to his Ausdehnungslehre of 1844; later William Clifford realized that this ratio could be interpreted as a bivector. Hestenes, David (1996). "Grassmann's Vision" (PDF). In Schubring, G. (ed.). Hermann Günther Graßmann (1809–1877). Boston Studies in the Philosophy of Science. Vol. 187. Springer. pp. 243–254. doi:10.1007/978-94-015-8753-2_20. ISBN 978-90-481-4758-8.
doi.org (Global: 2nd place; English: 2nd place)
- Silver, Daniel S. (November–December 2017). "The New Language of Mathematics". American Scientist. 105 (6): 364–371. doi:10.1511/2017.105.6.364.
- The interpretation of the imaginary unit as the ratio of two perpendicular vectors was proposed by Hermann Grassmann in the foreword to his Ausdehnungslehre of 1844; later William Clifford realized that this ratio could be interpreted as a bivector. Hestenes, David (1996). "Grassmann's Vision" (PDF). In Schubring, G. (ed.). Hermann Günther Graßmann (1809–1877). Boston Studies in the Philosophy of Science. Vol. 187. Springer. pp. 243–254. doi:10.1007/978-94-015-8753-2_20. ISBN 978-90-481-4758-8.
- Euler expressed the partial fraction decomposition of the trigonometric cotangent as Varadarajan, V. S. (2007). "Euler and his Work on Infinite Series". Bulletin of the American Mathematical Society. New Series. 44 (4): 515–539. doi:10.1090/S0273-0979-07-01175-5.
- Ivan, M.; Thornber, N.; Kouba, O.; Constales, D. (2013). "Arggh! Eye factorial . . . Arg(i!)". American Mathematical Monthly. 120 (7): 662–665. doi:10.4169/amer.math.monthly.120.07.660. S2CID 24405635. Sloane, N. J. A. (ed.). "Decimal expansion of the real part of i!", Sequence A212877; and "Decimal expansion of the negated imaginary part of i!", Sequence A212878. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
hmc.edu (Global: low place; English: 9,532nd place)
math.hmc.edu
- "i to the i is a Real Number – Math Fun Facts". math.hmc.edu. Retrieved 22 August 2024.
oed.com (Global: 360th place; English: 231st place)
- "imaginary number". Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
oeis.org (Global: 742nd place; English: 538th place)
- Ivan, M.; Thornber, N.; Kouba, O.; Constales, D. (2013). "Arggh! Eye factorial . . . Arg(i!)". American Mathematical Monthly. 120 (7): 662–665. doi:10.4169/amer.math.monthly.120.07.660. S2CID 24405635. Sloane, N. J. A. (ed.). "Decimal expansion of the real part of i!", Sequence A212877; and "Decimal expansion of the negated imaginary part of i!", Sequence A212878. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Decimal expansion of the absolute value of i!", Sequence A212879; and "Decimal expansion of the negated argument of i!", Sequence A212880. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
semanticscholar.org (Global: 11th place; English: 8th place)
api.semanticscholar.org
- Ivan, M.; Thornber, N.; Kouba, O.; Constales, D. (2013). "Arggh! Eye factorial . . . Arg(i!)". American Mathematical Monthly. 120 (7): 662–665. doi:10.4169/amer.math.monthly.120.07.660. S2CID 24405635. Sloane, N. J. A. (ed.). "Decimal expansion of the real part of i!", Sequence A212877; and "Decimal expansion of the negated imaginary part of i!", Sequence A212878. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
utoronto.ca (Global: 1,601st place; English: 1,117th place)
math.utoronto.ca
- "What is the square root of i ?". University of Toronto Mathematics Network. Retrieved 26 March 2007.
worldcat.org (Global: 5th place; English: 5th place)
search.worldcat.org
- Zill, Dennis G.; Shanahan, Patrick D. (2003). A first course in complex analysis with applications. Boston: Jones and Bartlett. pp. 24–25. ISBN 0-7637-1437-2. OCLC 50495529.
- Gbur, Greg (2011). Mathematical Methods for Optical Physics and Engineering. Cambridge University Press. pp. 278–284. ISBN 978-0-511-91510-9. OCLC 704518582.