References analysis of the Wikipedia article "Geometry" in the English version

ams.org (Global: 451^st place; English: 277^th place)

ams.org

Bestvina, Mladen; Sageev, Michah; Vogtmann, Karen (24 December 2014). "Geometric Group Theory". American Mathematical Society. Retrieved 5 May 2025.

Druţu, Cornelia; Kapovich, Michael (28 March 2018). Geometric Group Theory. Colloquium Publications. Vol. 63. American Mathematical Society. doi:10.1090/coll/063. ISBN 978-1-4704-1104-6. Retrieved 8 December 2024.

mathscinet.ams.org

Agol, Ian (2013). "The virtual Haken Conjecture". Doc. Math. 18. With an appendix by Ian Agol, Daniel Groves, and Jason Manning: 1045–1087. doi:10.4171/dm/421. MR 3104553. S2CID 255586740.

archive.org (Global: 6^th place; English: 6^th place)

Tabak, John (2014). Geometry: the language of space and form. Infobase Publishing. p. xiv. ISBN 978-0-8160-4953-0.

(Boyer 1991, "Egypt" p. 19) Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

(Boyer 1991, "Ionia and the Pythagoreans" p. 43) Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

Eves, Howard, An Introduction to the History of Mathematics, Saunders, 1990, ISBN 0-03-029558-0.

(Boyer 1991, "The Age of Plato and Aristotle" p. 92) Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

(Boyer 1991, "Euclid of Alexandria" p. 119) Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

(Boyer 1991, "Euclid of Alexandria" p. 104) Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

Howard Eves, An Introduction to the History of Mathematics, Saunders, 1990, ISBN 0-03-029558-0 p. 141: "No work, except The Bible, has been more widely used...."

Rāshid, Rushdī (1994). The development of Arabic mathematics : between arithmetic and algebra. Boston Studies in the Philosophy of Science. Vol. 156. p. 35. doi:10.1007/978-94-017-3274-1. ISBN 978-0-7923-2565-9. OCLC 29181926.

(Boyer 1991, "The Arabic Hegemony" pp. 241–242) "Omar Khayyam (c. 1050–1123), the "tent-maker," wrote an Algebra that went beyond that of al-Khwarizmi to include equations of third degree. Like his Arab predecessors, Omar Khayyam provided for quadratic equations both arithmetic and geometric solutions; for general cubic equations, he believed (mistakenly, as the 16th century later showed), arithmetic solutions were impossible; hence he gave only geometric solutions. The scheme of using intersecting conics to solve cubics had been used earlier by Menaechmus, Archimedes, and Alhazan, but Omar Khayyam took the praiseworthy step of generalizing the method to cover all third-degree equations (having positive roots). .. For equations of higher degree than three, Omar Khayyam evidently did not envision similar geometric methods, for space does not contain more than three dimensions, ... One of the most fruitful contributions of Arabic eclecticism was the tendency to close the gap between numerical and geometric algebra. The decisive step in this direction came much later with Descartes, but Omar Khayyam was moving in this direction when he wrote, "Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras are geometric facts which are proved."". Boyer, C.B. (1991) [1989]. A History of Mathematics (Second edition, revised by Uta C. Merzbach ed.). New York: Wiley. ISBN 978-0-471-54397-8.

David Berlinski (2014). The King of Infinite Space: Euclid and His Elements. Basic Books. ISBN 978-0-465-03863-3.

John Casey (1885). Analytic Geometry of the Point, Line, Circle, and Conic Sections.

Linnaeus Wayland Dowling (1917). Projective Geometry. McGraw-Hill book Company, Incorporated. p. 10.

Robert Capitolo; Ken Schwab (2004). Drawing Course 101. Sterling Publishing Company, Inc. p. 22. ISBN 978-1-4027-0383-6.

Arturo Sangalli (2009). Pythagoras' Revenge: A Mathematical Mystery. Princeton University Press. p. 57. ISBN 978-0-691-04955-7.

books.google.com (Global: 3^rd place; English: 3^rd place)

Vincenzo De Risi (2015). Mathematizing Space: The Objects of Geometry from Antiquity to the Early Modern Age. Birkhäuser. pp. 1–. ISBN 978-3-319-12102-4. Archived from the original on 20 February 2021. Retrieved 14 September 2019.

Walter A. Meyer (2006). Geometry and Its Applications. Elsevier. ISBN 978-0-08-047803-6. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Neugebauer, Otto (1969) [1957]. "Chap. IV Egyptian Mathematics and Astronomy". The Exact Sciences in Antiquity (2 ed.). Dover Publications. pp. 71–96. ISBN 978-0-486-22332-2. Archived from the original on 14 August 2020. Retrieved 27 February 2021..

Carl B. Boyer (2012). History of Analytic Geometry. Courier Corporation. ISBN 978-0-486-15451-0. Archived from the original on 26 December 2019. Retrieved 18 September 2019.

C. H. Edwards Jr. (2012). The Historical Development of the Calculus. Springer Science & Business Media. p. 95. ISBN 978-1-4612-6230-5. Archived from the original on 29 December 2019. Retrieved 18 September 2019.

Judith V. Field; Jeremy Gray (2012). The Geometrical Work of Girard Desargues. Springer Science & Business Media. p. 43. ISBN 978-1-4613-8692-6. Archived from the original on 27 December 2019. Retrieved 18 September 2019.

C. R. Wylie (2011). Introduction to Projective Geometry. Courier Corporation. ISBN 978-0-486-14170-1. Archived from the original on 28 December 2019. Retrieved 18 September 2019.

Jeremy Gray (2011). Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century. Springer Science & Business Media. ISBN 978-0-85729-060-1. Archived from the original on 7 December 2019. Retrieved 18 September 2019.

Eduardo Bayro-Corrochano (2018). Geometric Algebra Applications Vol. I: Computer Vision, Graphics and Neurocomputing. Springer. p. 4. ISBN 978-3-319-74830-6. Archived from the original on 28 December 2019. Retrieved 18 September 2019.

Morris Kline (1990). Mathematical Thought From Ancient to Modern Times: Volume 3. US: Oxford University Press. pp. 1010–. ISBN 978-0-19-506137-6. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Victor J. Katz (2000). Using History to Teach Mathematics: An International Perspective. Cambridge University Press. pp. 45–. ISBN 978-0-88385-163-0. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Robin Hartshorne (2013). Geometry: Euclid and Beyond. Springer Science & Business Media. pp. 29–. ISBN 978-0-387-22676-7. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Pat Herbst; Taro Fujita; Stefan Halverscheid; Michael Weiss (2017). The Learning and Teaching of Geometry in Secondary Schools: A Modeling Perspective. Taylor & Francis. pp. 20–. ISBN 978-1-351-97353-3. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

I. M. Yaglom (2012). A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity. Springer Science & Business Media. pp. 6–. ISBN 978-1-4612-6135-3. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Audun Holme (2010). Geometry: Our Cultural Heritage. Springer Science & Business Media. pp. 254–. ISBN 978-3-642-14441-7. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

Szmielew, Wanda (1983). From Affine to Euclidean Geometry. Springer. ISBN 978-90-277-1243-1. Archived from the original on 1 March 2023. Retrieved 9 September 2022.

Ahlfors, Lars V. (1979). Complex analysis : an introduction to the theory of analytic functions of one complex variable (3rd ed.). New York: McGraw-Hill. ISBN 9780070006577. OCLC 4036464. Archived from the original on 1 March 2023. Retrieved 9 September 2022.

Carmo, Manfredo Perdigão do (1976). Differential geometry of curves and surfaces. Vol. 2. Englewood Cliffs, N.J.: Prentice-Hall. ISBN 0-13-212589-7. OCLC 1529515. Archived from the original on 1 March 2023. Retrieved 9 September 2022.

Gelʹfand, I. M. (2001). Trigonometry. Mark E. Saul. Boston: Birkhäuser. pp. 1–20. ISBN 0-8176-3914-4. OCLC 41355833. Archived from the original on 1 March 2023. Retrieved 10 September 2022.

James W. Cannon (2017). Geometry of Lengths, Areas, and Volumes. American Mathematical Soc. p. 11. ISBN 978-1-4704-3714-5. Archived from the original on 31 December 2019. Retrieved 25 September 2019.

Gilbert Strang (1991). Calculus. SIAM. ISBN 978-0-9614088-2-4. Archived from the original on 24 December 2019. Retrieved 25 September 2019.

H. S. Bear (2002). A Primer of Lebesgue Integration. Academic Press. ISBN 978-0-12-083971-1. Archived from the original on 25 December 2019. Retrieved 25 September 2019.

Terence Tao (2011). An Introduction to Measure Theory. American Mathematical Soc. ISBN 978-0-8218-6919-2. Archived from the original on 27 December 2019. Retrieved 25 September 2019.

Shlomo Libeskind (2008). Euclidean and Transformational Geometry: A Deductive Inquiry. Jones & Bartlett Learning. p. 255. ISBN 978-0-7637-4366-6. Archived from the original on 25 December 2019. Retrieved 25 September 2019.

Mark A. Freitag (2013). Mathematics for Elementary School Teachers: A Process Approach. Cengage Learning. p. 614. ISBN 978-0-618-61008-2. Archived from the original on 28 December 2019. Retrieved 25 September 2019.

George E. Martin (2012). Transformation Geometry: An Introduction to Symmetry. Springer Science & Business Media. ISBN 978-1-4612-5680-9. Archived from the original on 7 December 2019. Retrieved 25 September 2019.

Mark Blacklock (2018). The Emergence of the Fourth Dimension: Higher Spatial Thinking in the Fin de Siècle. Oxford University Press. ISBN 978-0-19-875548-7. Archived from the original on 27 December 2019. Retrieved 18 September 2019.

Charles Jasper Joly (1895). Papers. The Academy. pp. 62–. Archived from the original on 27 December 2019. Retrieved 18 September 2019.

Roger Temam (2013). Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Springer Science & Business Media. p. 367. ISBN 978-1-4612-0645-3. Archived from the original on 24 December 2019. Retrieved 18 September 2019.

Bill Jacob; Tsit-Yuen Lam (1994). Recent Advances in Real Algebraic Geometry and Quadratic Forms: Proceedings of the RAGSQUAD Year, Berkeley, 1990–1991. American Mathematical Soc. p. 111. ISBN 978-0-8218-5154-8. Archived from the original on 28 December 2019. Retrieved 18 September 2019.

Ian Stewart (2008). Why Beauty Is Truth: A History of Symmetry. Basic Books. p. 14. ISBN 978-0-465-08237-7. Archived from the original on 25 December 2019. Retrieved 23 September 2019.

Stakhov Alexey (2009). Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer Science. World Scientific. p. 144. ISBN 978-981-4472-57-9. Archived from the original on 29 December 2019. Retrieved 23 September 2019.

Werner Hahn (1998). Symmetry as a Developmental Principle in Nature and Art. World Scientific. ISBN 978-981-02-2363-2. Archived from the original on 1 January 2020. Retrieved 23 September 2019.

Brian J. Cantwell (2002). Introduction to Symmetry Analysis. Cambridge University Press. p. 34. ISBN 978-1-139-43171-2. Archived from the original on 27 December 2019. Retrieved 23 September 2019.

B. Rosenfeld; Bill Wiebe (2013). Geometry of Lie Groups. Springer Science & Business Media. pp. 158ff. ISBN 978-1-4757-5325-7. Archived from the original on 24 December 2019. Retrieved 23 September 2019.

Peter Pesic (2007). Beyond Geometry: Classic Papers from Riemann to Einstein. Courier Corporation. ISBN 978-0-486-45350-7. Archived from the original on 1 September 2021. Retrieved 23 September 2019.

Michio Kaku (2012). Strings, Conformal Fields, and Topology: An Introduction. Springer Science & Business Media. p. 151. ISBN 978-1-4684-0397-8. Archived from the original on 24 December 2019. Retrieved 23 September 2019.

Mladen Bestvina; Michah Sageev; Karen Vogtmann (2014). Geometric Group Theory. American Mathematical Soc. p. 132. ISBN 978-1-4704-1227-2. Archived from the original on 29 December 2019. Retrieved 23 September 2019.

W-H. Steeb (1996). Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra. World Scientific Publishing Company. ISBN 978-981-310-503-4. Archived from the original on 26 December 2019. Retrieved 23 September 2019.

Charles W. Misner (2005). Directions in General Relativity: Volume 1: Proceedings of the 1993 International Symposium, Maryland: Papers in Honor of Charles Misner. Cambridge University Press. p. 272. ISBN 978-0-521-02139-5. Archived from the original on 26 December 2019. Retrieved 23 September 2019.

G. Gierz (2006). Bundles of Topological Vector Spaces and Their Duality. Springer. p. 252. ISBN 978-3-540-39437-2. Archived from the original on 27 December 2019. Retrieved 23 September 2019.

Robert E. Butts; J.R. Brown (2012). Constructivism and Science: Essays in Recent German Philosophy. Springer Science & Business Media. pp. 127–. ISBN 978-94-009-0959-5. Archived from the original on 1 September 2021. Retrieved 20 September 2019.

Science. Moses King. 1886. pp. 181–. Archived from the original on 27 December 2019. Retrieved 20 September 2019.

W. Abbot (2013). Practical Geometry and Engineering Graphics: A Textbook for Engineering and Other Students. Springer Science & Business Media. pp. 6–. ISBN 978-94-017-2742-6. Archived from the original on 25 December 2019. Retrieved 20 September 2019.

George L. Hersey (2001). Architecture and Geometry in the Age of the Baroque. University of Chicago Press. ISBN 978-0-226-32783-9. Archived from the original on 25 December 2019. Retrieved 20 September 2019.

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Russell M. Cummings; Scott A. Morton; William H. Mason; David R. McDaniel (2015). Applied Computational Aerodynamics. Cambridge University Press. p. 449. ISBN 978-1-107-05374-8. Archived from the original on 1 September 2021. Retrieved 20 September 2019.

Roy Williams (1998). Geometry of Navigation. Horwood Pub. ISBN 978-1-898563-46-4. Archived from the original on 7 December 2019. Retrieved 20 September 2019.

Gerard Walschap (2015). Multivariable Calculus and Differential Geometry. De Gruyter. ISBN 978-3-11-036954-0. Archived from the original on 27 December 2019. Retrieved 23 September 2019.

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Paul Marriott; Mark Salmon (2000). Applications of Differential Geometry to Econometrics. Cambridge University Press. ISBN 978-0-521-65116-5. Archived from the original on 1 September 2021. Retrieved 23 September 2019.

Matthew He; Sergey Petoukhov (2011). Mathematics of Bioinformatics: Theory, Methods and Applications. John Wiley & Sons. p. 106. ISBN 978-1-118-09952-0. Archived from the original on 27 December 2019. Retrieved 23 September 2019.

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jstor.org (Global: 26^th place; English: 20^th place)

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api.semanticscholar.org

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Agol, Ian (2013). "The virtual Haken Conjecture". Doc. Math. 18. With an appendix by Ian Agol, Daniel Groves, and Jason Manning: 1045–1087. doi:10.4171/dm/421. MR 3104553. S2CID 255586740.

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Walter A. Meyer (2006). Geometry and Its Applications. Elsevier. ISBN 978-0-08-047803-6. Archived from the original on 1 September 2021. Retrieved 14 September 2019.

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