Trigonometric functions (English Wikipedia)

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

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archive.org

Klein, Felix (1924) [1902]. "Die goniometrischen Funktionen". Elementarmathematik vom höheren Standpunkt aus: Arithmetik, Algebra, Analysis (in German). Vol. 1 (3rd ed.). Berlin: J. Springer. Ch. 3.2, p. 175 ff. Translated as "The Goniometric Functions". Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Translated by Hedrick, E. R.; Noble, C. A. Macmillan. 1932. Ch. 3.2, p. 162 ff.
Weierstrass, Karl (1841). "Darstellung einer analytischen Function einer complexen Veränderlichen, deren absoluter Betrag zwischen zwei gegebenen Grenzen liegt" [Representation of an analytical function of a complex variable, whose absolute value lies between two given limits]. Mathematische Werke (in German). Vol. 1. Berlin: Mayer & Müller (published 1894). pp. 51–66.
Bourbaki, Nicolás (1994). Elements of the History of Mathematics. Springer. ISBN 9783540647676.

books.google.com

Klein, Felix (1924) [1902]. "Die goniometrischen Funktionen". Elementarmathematik vom höheren Standpunkt aus: Arithmetik, Algebra, Analysis (in German). Vol. 1 (3rd ed.). Berlin: J. Springer. Ch. 3.2, p. 175 ff. Translated as "The Goniometric Functions". Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Translated by Hedrick, E. R.; Noble, C. A. Macmillan. 1932. Ch. 3.2, p. 162 ff.
Stueben, Michael; Sandford, Diane (1998). Twenty years before the blackboard: the lessons and humor of a mathematics teacher. Spectrum series. Washington, DC: Mathematical Association of America. p. 119. ISBN 978-0-88385-525-6.
Larson, Ron (2013). Trigonometry (9th ed.). Cengage Learning. p. 153. ISBN 978-1-285-60718-4. Archived from the original on 2018-02-15. Extract of page 153 Archived 15 February 2018 at the Wayback Machine
Remmert, Reinhold (1991). Theory of complex functions. Springer. p. 327. ISBN 978-0-387-97195-7. Archived from the original on 2015-03-20. Extract of page 327 Archived 20 March 2015 at the Wayback Machine
Farlow, Stanley J. (1993). Partial differential equations for scientists and engineers (Reprint of Wiley 1982 ed.). Courier Dover Publications. p. 82. ISBN 978-0-486-67620-3. Archived from the original on 2015-03-20.
See for example, Folland, Gerald B. (2009). "Convergence and completeness". Fourier Analysis and its Applications (Reprint of Wadsworth & Brooks/Cole 1992 ed.). American Mathematical Society. pp. 77ff. ISBN 978-0-8218-4790-9. Archived from the original on 2015-03-19.

britannica.com

"trigonometry". Encyclopedia Britannica. 2023-11-17.

clarku.edu

See Plofker, Mathematics in India, Princeton University Press, 2009, p. 257
See "Clark University". Archived from the original on 2008-06-15.
See Maor (1998), chapter 3, regarding the etymology.

degruyter.com

Lötzbeyer, Philipp (1950). "§ 14. Erläuterungen u. Beispiele zu T. 13: lg sin X; lg cos X und T. 14: lg tg x; lg ctg X". Erläuterungen und Beispiele für den Gebrauch der vierstelligen Tafeln zum praktischen Rechnen (in German) (1 ed.). Berlin, Germany: Walter de Gruyter & Co. doi:10.1515/9783111507545. ISBN 978-3-11114038-4. Archive ID 541650. Retrieved 2024-02-06.

doi.org

Diamond, Harvey (2014). "Defining Exponential and Trigonometric Functions Using Differential Equations". Mathematics Magazine. 87 (1): 37–42. doi:10.4169/math.mag.87.1.37. ISSN 0025-570X. S2CID 126217060.
Van Brummelen, Glen (2018). "The end of an error: Bianchini, Regiomontanus, and the tabulation of stellar coordinates". Archive for History of Exact Sciences. 72 (5): 547–563. doi:10.1007/s00407-018-0214-2. JSTOR 45211959. S2CID 240294796.
Heß, Adolf (1926) [1916]. Trigonometrie für Maschinenbauer und Elektrotechniker - Ein Lehr- und Aufgabenbuch für den Unterricht und zum Selbststudium (in German) (6 ed.). Winterthur, Switzerland: Springer. doi:10.1007/978-3-662-36585-4. ISBN 978-3-662-35755-2.
Lötzbeyer, Philipp (1950). "§ 14. Erläuterungen u. Beispiele zu T. 13: lg sin X; lg cos X und T. 14: lg tg x; lg ctg X". Erläuterungen und Beispiele für den Gebrauch der vierstelligen Tafeln zum praktischen Rechnen (in German) (1 ed.). Berlin, Germany: Walter de Gruyter & Co. doi:10.1515/9783111507545. ISBN 978-3-11114038-4. Archive ID 541650. Retrieved 2024-02-06.

encyclopediaofmath.org

Bityutskov, V.I. (2011-02-07). "Trigonometric Functions". Encyclopedia of Mathematics. Archived from the original on 2017-12-29. Retrieved 2017-12-29.

hal.science

inria.hal.science

Roegel, Denis, ed. (2016-08-30). A reconstruction of Peters's table of 7-place logarithms (volume 2, 1940). Vandoeuvre-lès-Nancy, France: Université de Lorraine. hal-01357842. Archived from the original on 2024-02-06. Retrieved 2024-02-06.

inria.fr

hal.inria.fr

Roegel, Denis, ed. (2010-12-06). "A reconstruction of Gunter's Canon triangulorum (1620)" (Research report). HAL. inria-00543938. Archived from the original on 2017-07-28. Retrieved 2017-07-28.

jstor.org

Van Brummelen, Glen (2018). "The end of an error: Bianchini, Regiomontanus, and the tabulation of stellar coordinates". Archive for History of Exact Sciences. 72 (5): 547–563. doi:10.1007/s00407-018-0214-2. JSTOR 45211959. S2CID 240294796.

kfupm.edu.sa

faculty.kfupm.edu.sa

Gingerich, Owen (1986). "Islamic Astronomy". Scientific American. Vol. 254. p. 74. Archived from the original on 2013-10-19. Retrieved 2010-07-13.

loc.gov

lccn.loc.gov

Protter & Morrey (1970, pp. APP-2, APP-3) Protter, Murray H.; Morrey, Charles B. Jr. (1970), College Calculus with Analytic Geometry (2nd ed.), Reading: Addison-Wesley, LCCN 76087042
Protter & Morrey (1970, p. APP-7) Protter, Murray H.; Morrey, Charles B. Jr. (1970), College Calculus with Analytic Geometry (2nd ed.), Reading: Addison-Wesley, LCCN 76087042
Spivak, Michael (1967). "15". Calculus. Addison-Wesley. pp. 256–257. LCCN 67-20770.
Nielsen (1966, pp. xxiii–xxiv) Nielsen, Kaj L. (1966), Logarithmic and Trigonometric Tables to Five Places (2nd ed.), New York: Barnes & Noble, LCCN 61-9103

mathsisfun.com

"Sine, Cosine, Tangent". www.mathsisfun.com. Retrieved 2020-08-29.

semanticscholar.org

api.semanticscholar.org

Diamond, Harvey (2014). "Defining Exponential and Trigonometric Functions Using Differential Equations". Mathematics Magazine. 87 (1): 37–42. doi:10.4169/math.mag.87.1.37. ISSN 0025-570X. S2CID 126217060.
Van Brummelen, Glen (2018). "The end of an error: Bianchini, Regiomontanus, and the tabulation of stellar coordinates". Archive for History of Exact Sciences. 72 (5): 547–563. doi:10.1007/s00407-018-0214-2. JSTOR 45211959. S2CID 240294796.

springer.com

Aigner, Martin; Ziegler, Günter M. (2000). Proofs from THE BOOK (Second ed.). Springer-Verlag. p. 149. ISBN 978-3-642-00855-9. Archived from the original on 2014-03-08.

st-and.ac.uk

www-gap.dcs.st-and.ac.uk

O'Connor, J. J.; Robertson, E. F. "Madhava of Sangamagrama". School of Mathematics and Statistics University of St Andrews, Scotland. Archived from the original on 2006-05-14. Retrieved 2007-09-08.

st-andrews.ac.uk

www-history.mcs.st-andrews.ac.uk

"Fincke biography". Archived from the original on 2017-01-07. Retrieved 2017-03-15.

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F., "Trigonometric functions", MacTutor History of Mathematics Archive, University of St Andrews

tandfonline.com

Diamond, Harvey (2014). "Defining Exponential and Trigonometric Functions Using Differential Equations". Mathematics Magazine. 87 (1): 37–42. doi:10.4169/math.mag.87.1.37. ISSN 0025-570X. S2CID 126217060.

umich.edu

quod.lib.umich.edu

von Hammer, Ernst Hermann Heinrich [in German], ed. (1897). Lehrbuch der ebenen und sphärischen Trigonometrie. Zum Gebrauch bei Selbstunterricht und in Schulen, besonders als Vorbereitung auf Geodäsie und sphärische Astronomie (in German) (2 ed.). Stuttgart, Germany: J. B. Metzlerscher Verlag. Retrieved 2024-02-06.

web.archive.org

Bityutskov, V.I. (2011-02-07). "Trigonometric Functions". Encyclopedia of Mathematics. Archived from the original on 2017-12-29. Retrieved 2017-12-29.
Larson, Ron (2013). Trigonometry (9th ed.). Cengage Learning. p. 153. ISBN 978-1-285-60718-4. Archived from the original on 2018-02-15. Extract of page 153 Archived 15 February 2018 at the Wayback Machine
Aigner, Martin; Ziegler, Günter M. (2000). Proofs from THE BOOK (Second ed.). Springer-Verlag. p. 149. ISBN 978-3-642-00855-9. Archived from the original on 2014-03-08.
Remmert, Reinhold (1991). Theory of complex functions. Springer. p. 327. ISBN 978-0-387-97195-7. Archived from the original on 2015-03-20. Extract of page 327 Archived 20 March 2015 at the Wayback Machine
Farlow, Stanley J. (1993). Partial differential equations for scientists and engineers (Reprint of Wiley 1982 ed.). Courier Dover Publications. p. 82. ISBN 978-0-486-67620-3. Archived from the original on 2015-03-20.
See for example, Folland, Gerald B. (2009). "Convergence and completeness". Fourier Analysis and its Applications (Reprint of Wadsworth & Brooks/Cole 1992 ed.). American Mathematical Society. pp. 77ff. ISBN 978-0-8218-4790-9. Archived from the original on 2015-03-19.
Gingerich, Owen (1986). "Islamic Astronomy". Scientific American. Vol. 254. p. 74. Archived from the original on 2013-10-19. Retrieved 2010-07-13.
O'Connor, J. J.; Robertson, E. F. "Madhava of Sangamagrama". School of Mathematics and Statistics University of St Andrews, Scotland. Archived from the original on 2006-05-14. Retrieved 2007-09-08.
"Fincke biography". Archived from the original on 2017-01-07. Retrieved 2017-03-15.
Roegel, Denis, ed. (2016-08-30). A reconstruction of Peters's table of 7-place logarithms (volume 2, 1940). Vandoeuvre-lès-Nancy, France: Université de Lorraine. hal-01357842. Archived from the original on 2024-02-06. Retrieved 2024-02-06.
See Plofker, Mathematics in India, Princeton University Press, 2009, p. 257
See "Clark University". Archived from the original on 2008-06-15.
See Maor (1998), chapter 3, regarding the etymology.
Roegel, Denis, ed. (2010-12-06). "A reconstruction of Gunter's Canon triangulorum (1620)" (Research report). HAL. inria-00543938. Archived from the original on 2017-07-28. Retrieved 2017-07-28.

wikipedia.org

de.wikipedia.org

von Hammer, Ernst Hermann Heinrich [in German], ed. (1897). Lehrbuch der ebenen und sphärischen Trigonometrie. Zum Gebrauch bei Selbstunterricht und in Schulen, besonders als Vorbereitung auf Geodäsie und sphärische Astronomie (in German) (2 ed.). Stuttgart, Germany: J. B. Metzlerscher Verlag. Retrieved 2024-02-06.

worldcat.org

search.worldcat.org

Rudin, Walter, 1921–2010. Principles of mathematical analysis (Third ed.). New York. ISBN 0-07-054235-X. OCLC 1502474.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
Diamond, Harvey (2014). "Defining Exponential and Trigonometric Functions Using Differential Equations". Mathematics Magazine. 87 (1): 37–42. doi:10.4169/math.mag.87.1.37. ISSN 0025-570X. S2CID 126217060.

worldcat.org

Rudin, Walter, 1921–2010. Principles of mathematical analysis (Third ed.). New York. ISBN 0-07-054235-X. OCLC 1502474.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)