Inverse trigonometric functions (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Inverse trigonometric functions" in English language version.

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5doi.org

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archive.org

Hall, Arthur Graham; Frink, Fred Goodrich (Jan 1909). "Chapter II. The Acute Angle [14] Inverse trigonometric functions". Written at Ann Arbor, Michigan, USA. Trigonometry. Vol. Part I: Plane Trigonometry. New York, USA: Henry Holt and Company / Norwood Press / J. S. Cushing Co. - Berwick & Smith Co., Norwood, Massachusetts, USA. p. 15. Retrieved 2017-08-12. […] α = arcsin m: It is frequently read "arc-sine m" or "anti-sine m," since two mutually inverse functions are said each to be the anti-function of the other. […] A similar symbolic relation holds for the other trigonometric functions. […] This notation is universally used in Europe and is fast gaining ground in this country. A less desirable symbol, α = sin^-1m, is still found in English and American texts. The notation α = inv sin m is perhaps better still on account of its general applicability. […]
Cajori, Florian (1919). A History of Mathematics (2 ed.). New York, NY: The Macmillan Company. p. 272.
Korn, Grandino Arthur; Korn, Theresa M. (2000) [1961]. "21.2.-4. Inverse Trigonometric Functions". Mathematical handbook for scientists and engineers: Definitions, theorems, and formulars for reference and review (3 ed.). Mineola, New York, USA: Dover Publications, Inc. p. 811. ISBN 978-0-486-41147-7.
Borwein, Jonathan; Bailey, David; Gingersohn, Roland (2004). Experimentation in Mathematics: Computational Paths to Discovery (1 ed.). Wellesley, MA, USA: A. K. Peters. p. 51. ISBN 978-1-56881-136-9.

arxiv.org

S. M. Abrarov and B. M. Quine (2018), "A formula for pi involving nested radicals", The Ramanujan Journal, 46 (3): 657–665, arXiv:1610.07713, doi:10.1007/s11139-018-9996-8, S2CID 119150623

books.google.com

Klein, Felix (1924) [1902]. Elementarmathematik vom höheren Standpunkt aus: Arithmetik, Algebra, Analysis (in German). Vol. 1 (3rd ed.). Berlin: J. Springer. Translated as Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Translated by Hedrick, E. R.; Noble, C. A. Macmillan. 1932. ISBN 978-0-486-43480-3.
Herschel, John Frederick William (1813). "On a remarkable Application of Cotes's Theorem". Philosophical Transactions. 103 (1). Royal Society, London: 8. doi:10.1098/rstl.1813.0005.

brilliant.org

"Inverse trigonometric functions". Wiki. Brilliant Math & Science (brilliant.org). Retrieved 2020-08-29.

doi.org

Hazewinkel, Michiel (1994) [1987]. Encyclopaedia of Mathematics (unabridged reprint ed.). Kluwer Academic Publishers / Springer Science & Business Media. ISBN 978-155608010-4.
Bronshtein, I. N.; Semendyayev, K. A.; Musiol, Gerhard; Mühlig, Heiner. "Cyclometric or Inverse Trigonometric Functions". Handbook of Mathematics (6th ed.). Berlin: Springer. § 2.8, pp. 85–89. doi:10.1007/978-3-663-46221-8 (inactive 1 Nov 2024).{{cite book}}: CS1 maint: DOI inactive as of November 2024 (link)
However, the term "arcus function" can also refer to the function giving the argument of a complex number, sometimes called the arcus.
Herschel, John Frederick William (1813). "On a remarkable Application of Cotes's Theorem". Philosophical Transactions. 103 (1). Royal Society, London: 8. doi:10.1098/rstl.1813.0005.
Hwang Chien-Lih (2005), "An elementary derivation of Euler's series for the arctangent function", The Mathematical Gazette, 89 (516): 469–470, doi:10.1017/S0025557200178404, S2CID 123395287
S. M. Abrarov and B. M. Quine (2018), "A formula for pi involving nested radicals", The Ramanujan Journal, 46 (3): 657–665, arXiv:1610.07713, doi:10.1007/s11139-018-9996-8, S2CID 119150623
Gade, Kenneth (2010). "A non-singular horizontal position representation" (PDF). The Journal of Navigation. 63 (3). Cambridge University Press: 395–417. Bibcode:2010JNav...63..395G. doi:10.1017/S0373463309990415.

harvard.edu

ui.adsabs.harvard.edu

Gade, Kenneth (2010). "A non-singular horizontal position representation" (PDF). The Journal of Navigation. 63 (3). Cambridge University Press: 395–417. Bibcode:2010JNav...63..395G. doi:10.1017/S0373463309990415.

johndcook.com

Cook, John D. (11 Feb 2021). "Trig functions across programming languages". johndcook.com (blog). Retrieved 2021-03-10.

navlab.net

Gade, Kenneth (2010). "A non-singular horizontal position representation" (PDF). The Journal of Navigation. 63 (3). Cambridge University Press: 395–417. Bibcode:2010JNav...63..395G. doi:10.1017/S0373463309990415.

semanticscholar.org

api.semanticscholar.org

Hwang Chien-Lih (2005), "An elementary derivation of Euler's series for the arctangent function", The Mathematical Gazette, 89 (516): 469–470, doi:10.1017/S0025557200178404, S2CID 123395287
S. M. Abrarov and B. M. Quine (2018), "A formula for pi involving nested radicals", The Ramanujan Journal, 46 (3): 657–665, arXiv:1610.07713, doi:10.1007/s11139-018-9996-8, S2CID 119150623

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Inverse Trigonometric Functions". mathworld.wolfram.com. Retrieved 2020-08-29.