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Francesco Severi’s mathematical library. (English) Zbl 1532.14004

Bini, Gilberto (ed.), Algebraic geometry between tradition and future. An Italian perspective. Proceedings of the INdAM workshop, Rome, Italy, December 6–8, 2021. Singapore: Springer. Springer INdAM Ser. 53, 5-57 (2023).

MSC: 14-03 01A70 01A60

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Baltus, Christopher

Poncelet’s discovery of homology. (English. French summary) Zbl 1526.01015

Hist. Math. 63, 1-20 (2023).

Reviewer: Hans Fischer (Eichstätt)

MSC: 01A55 51-03 51A10

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Despeaux, Sloan (ed.); Dumbaugh, Della (ed.); Lorenat, Jemma (ed.)

History of mathematics through collaboration: toward a composite portrait of Oswald Veblen. Abstracts from the workshop held December 4–10, 2022. (English) Zbl 1521.00013

Oberwolfach Rep. 19, No. 4, 3171-3214 (2022).

MSC: 00B05 00B25 01-06 01A60 01A70 51-03

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Aranda, Víctor

Completeness: from Husserl to Carnap. (English) Zbl 07580911

Log. Univers. 16, No. 1-2, 57-83 (2022).

MSC: 03-03 03A05 00A30 01A60

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Marchisotto, Elena Anne Corie

H.S.M. Coxeter’s theory of accessibility: from Mario Pieri to Marvin Greenberg. (English) Zbl 1505.01044

Result. Math. 77, No. 5, Paper No. 187, 61 p. (2022).

Reviewer: Umberto Bottazzini (Milano)

MSC: 01A60 01A55 51-03

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Parshall, Karen Hunger

The American Mathematical Society and applied mathematics from the 1920s to the 1950s: a revisionist account. (English) Zbl 1498.01036

Bull. Am. Math. Soc., New Ser. 59, No. 3, 405-427 (2022).

Reviewer: Hans Fischer (Eichstätt)

MSC: 01A74 01A73 01A60 00A69

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Ji, Lizhen; Wang, Chang

Poincaré’s works leading to the Poincaré conjecture. (English) Zbl 1495.01015

Arch. Hist. Exact Sci. 76, No. 3, 223-260 (2022).

Reviewer: Leon Harkleroad (Bowdoinham)

MSC: 01A55 01A60 55-03 57-03

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Eder, Günther

Frege on intuition and objecthood in projective geometry. (English) Zbl 1529.01016

Synthese 199, No. 3-4, 6523-6561 (2021).

MSC: 01A55 51-03 03-03

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Lorenat, Jemma

A competent translation/a pitiful bungle: The foundations of geometry. (English) Zbl 1522.01029

Math. Intell. 43, No. 3, 60-70 (2021).

Reviewer: Martin Lukarevski (Skopje)

MSC: 01A60

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Vrhovski, Jan

On infinitesimals and indefinitely cut wooden sticks: a Chinese debate on ‘mathematical logic’ and Russell’s Introduction to mathematical philosophy from 1925. (English) Zbl 1512.03014

Hist. Philos. Log. 42, No. 3, 262-280 (2021).

MSC: 03-03 01A60 01A25

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Eder, Günther

Frege and the origins of model theory in nineteenth century geometry. (English) Zbl 1507.03004

Synthese 198, No. 6, 5547-5575 (2021).

MSC: 03-03 03C65 51-03 01A55

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Eder, Günther

Projective duality and the rise of modern logic. (English) Zbl 1500.03001

Bull. Symb. Log. 27, No. 4, 351-384 (2021).

Reviewer: Jim Mackenzie (Sydney)

MSC: 03-03 03A05 01A55 01A60 51-03

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Sauer, Tilman; Schütz, Tobias

Einstein on involutions in projective geometry. (English) Zbl 1485.01032

Arch. Hist. Exact Sci. 75, No. 5, 523-555 (2021).

Reviewer: Horst-Heino von Borzeszkowski (Berlin)

MSC: 01A60 83-03 83D05 51-03

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Crossley, John N.

…and so on: Schütte on naming ordinals. (English) Zbl 1535.03002

Kahle, Reinhard (ed.) et al., The legacy of Kurt Schütte. Cham: Springer. 37-46 (2020).

MSC: 03-03 03E10 01A60

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Abrams, Ellen

‘An inalienable prerogative of a liberated spirit’: postulating American mathematics. (English) Zbl 1460.01010

Br. J. Hist. Math. 35, No. 3, 225-245 (2020).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A60 03-03 00A30

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Dragović, Vladimir; Goryuchkina, Irina

Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics. (English) Zbl 1471.01016

Arch. Hist. Exact Sci. 74, No. 6, 523-564 (2020).

Reviewer: Albert C. Lewis (Austin)

MSC: 01A55 34-03 34A09

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Dragović, Vladimir; Goryuchkina, Irina

About the cover: The fine-Petrović polygons and the Newton-Puiseux method for algebraic ordinary differential equations. (English) Zbl 1443.34002

Bull. Am. Math. Soc., New Ser. 57, No. 2, 293-299 (2020).

MSC: 34-03 01A55 34A25

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Schrödinger, E.

Republication of: Dirac electron in the gravitational field. I. (English) Zbl 1437.83069

Gen. Relativ. Gravitation 52, No. 1, Paper No. 4, 25 p. (2020).

MSC: 83C60 83C47 53Z05 01A75 81Q10

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Pambuccian, Victor; Schacht, Celia

The axiomatic destiny of the theorems of Pappus and Desargues. (English) Zbl 1454.01016

Dani, S. G. (ed.) et al., Geometry in history. Cham: Springer. 355-399 (2019).

Reviewer: Viktor Blåsjö (Utrecht)

MSC: 01A60 01A20 01-02 51-03

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Boi, Luciano

H. Weyl’s deep insights into the mathematical and physical worlds: his important contribution to the philosophy of space, time and matter. (English) Zbl 1442.83004

Bernard, Julien (ed.) et al., Weyl and the problem of space. From science to philosophy. Cham: Springer. Stud. Hist. Philos. Sci. (Dordr.) 49, 231-263 (2019).

MSC: 83-03 01A60 01A70 00A30 83C60 53Z05 70S15 81R05

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Pambuccian, Victor

Prolegomena to any theory of proof simplicity. (English) Zbl 1441.03007

Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2140, Article ID 20180035, 15 p. (2019).

Reviewer: Teun Koetsier (Amsterdam)

MSC: 03A05 03B30 01A05 03F20

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Schiemer, Georg; Zach, Richard; Reck, Erich

Carnap’s early metatheory: scope and limits. (English) Zbl 1406.03021

Synthese 194, No. 1, 33-65 (2017).

Reviewer: Jim Mackenzie (Sydney)

MSC: 03-03 03A05 03C35 01A60

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Ohshika, Ken’ichi

The origin of the notion of manifold: from Riemann’s Habilitationsvortrag onward. (English) Zbl 1385.01007

Ji, Lizhen (ed.) et al., From Riemann to differential geometry and relativity. Cham: Springer (ISBN 978-3-319-60038-3/hbk; 978-3-319-60039-0/ebook). 295-309 (2017).

Reviewer: Jeremy Gray (London)

MSC: 01A55 58-03

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Hollings, Christopher D.

‘Nobody could possibly misunderstand what a group is’: a study in early twentieth-century group axiomatics. (English) Zbl 1379.01014

Arch. Hist. Exact Sci. 71, No. 5, 409-481 (2017).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A55 01A60 20-03 20A05

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Krömer, Ralf

Book review of: R. Chorlay, Géométrie et topologie différentielles, 1918–1932. (English) Zbl 1378.00045

Hist. Math. 44, No. 3, 285-287 (2017).

MSC: 00A17 53-03 57-03 01A75 01A60

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Barnett, Janet Heine

An American postulate theorist: Edward V. Huntington. (English) Zbl 1404.01020

Zack, Maria (ed.) et al., Research in history and philosophy of mathematics. The CSHPM 2015 annual meeting in Washington, D. C., USA, August, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-43269-4/hbk; 978-3-319-46615-6/ebook). Proceedings of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, 221-235 (2016).

Reviewer: Christopher Hollings (Oxford)

MSC: 01A60 03-03

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Quinn, Frank

The triangulation of manifolds: topology, gauge theory, and history. (English) Zbl 1373.57003

Ballmann, Werner (ed.) et al., Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch. Proceedings of the meeting, Bonn, Germany, May, 22–28, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-43646-3/hbk; 978-3-319-43648-7/ebook). Progress in Mathematics 319, 307-336 (2016).

MSC: 57-02 57-03 57Q15 01A60 57R58

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Giovannini, Eduardo N.

Bridging the gap between analytic and synthetic geometry: Hilbert’s axiomatic approach. (English) Zbl 1384.03007

Synthese 193, No. 1, 31-70 (2016).

MSC: 03-03 01A55 03B30 51M05

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Detlefsen, Michael

On the motives for proof theory. (English) Zbl 1429.03002

Wansing, Heinrich (ed.), Dag Prawitz on proofs and meaning. Cham: Springer. Outst. Contrib. Log. 7, 121-145 (2015).

MSC: 03-03 03F03 01A60

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Hollings, Christopher

Three approaches to inverse semigroups. (English) Zbl 1391.20034

Eur. J. Pure Appl. Math. 8, No. 3, 294-323 (2015).

MSC: 20M18 20L05 20-03 01A60

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Siebenmann, Laurent C.

Bisections explain the Reidemeister-Singer theorem: a return to the roots. (Les bissections expliquent le théorème de Reidemeister-Singer : un retour aux sources.) (French. English summary) Zbl 1350.57025

Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 5, 1025-1056 (2015).

MSC: 57N10 57-03 01A60

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Rodríguez, Laura

Frigyes Riesz and the emergence of general topology. The roots of ‘topological space’ in geometry. (English) Zbl 1319.01019

Arch. Hist. Exact Sci. 69, No. 1, 55-102 (2015).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A60 54-03 57-03

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Goenner, Hubert F. M.

On the history of unified field theories. II. (ca. 1930 – ca. 1965). (English) Zbl 1320.83003

Living Rev. Relativ. 17, Article No. 2014-5, 241 p. (2014).

MSC: 83-02 83D05 83-03 01A60 53Z05 81V22 78A25

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Krömer, Ralf

The set of paths in a space and its algebraic structure. A historical account. (English. French summary) Zbl 1382.01006

Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 5, 915-968 (2013).

Reviewer: Christopher Hollings (Oxford)

MSC: 01A60 55-03

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Stroppel, Markus

Early explicit examples of non-Desarguesian plane geometries. (English) Zbl 1247.51004

J. Geom. 102, No. 1-2, 179-188 (2011).

Reviewer: Victor V. Pambuccian (Phoenix)

MSC: 51A35 51-03 01A55 01A60

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Barrow-Green, June

An American goes to Europe: three letters from Oswald Veblen to George Birkhoff in 1913/1914. (English) Zbl 1235.01013

Math. Intell. 33, No. 4, 37-47 (2011).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A60 01A70 01A80

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Benedetto, E.

Brief history of a relativistic century. (English) Zbl 1225.83003

Int. J. Theor. Phys. 50, No. 8, 2493-2513 (2011).

MSC: 83-02 83F05 83-03 01A60 01A61 83D05 85A40 83E15

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Pambuccian, Victor

The axiomatics of ordered geometry: I. Ordered incidence spaces. (English) Zbl 1227.51010

Expo. Math. 29, No. 1, 24-66 (2011).

Reviewer: Norbert Knarr (Gießen)

MSC: 51G05 01A60 52A01 03B30

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Brechenmacher, Frédéric

A history of the universality of mathematical matrices. (Une histoire de l’universalité des matrices mathématiques.) (French. English summary) Zbl 1225.15003

Brian, Éric (ed.), Histoire sociale des mathématiques. Berlin: Springer (ISBN 978-2-8178-0191-9/pbk). Revue de Synthèse. 6. Série 131, No. 4, 569-603 (2010).

Reviewer: Albert C. Lewis (Austin)

MSC: 15-03 01A60

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Debnath, Lokenath

A brief historical introduction to Euler’s formula for polyhedra, topology, graph theory and networks. (English) Zbl 1292.97052

Int. J. Math. Educ. Sci. Technol. 41, No. 6, 769-785 (2010).

MSC: 97K30 97A30 01A50 05B15 05C10 05C45 05C82

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Chorlay, Renaud

From problems to structures: the Cousin problems and the emergence of the sheaf concept. (English) Zbl 1198.01001

Arch. Hist. Exact Sci. 64, No. 1, 1-73 (2010).

Reviewer: F. J. Papp (Ann Arbor)

MSC: 01-02 32-02 32L10

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Moore, Gregory H.

The emergence of open sets, closed sets, and limit points in analysis and topology. (English) Zbl 1153.54001

Hist. Math. 35, No. 3, 220-241 (2008).

Reviewer: Antonín Slavík (Praha)

MSC: 54-03 01A55 01A60 57-03

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Nabonnand, Philippe

von Staudt‘s theory of “Würfe“ (jets) – an irruption of algebra in pure geometry. (La théorie des “Würfe” de von Staudt – une irruption de l’algèbre dans la géométrie pure.) (English) Zbl 1145.01012

Arch. Hist. Exact Sci. 62, No. 3, 201-242 (2008).

Reviewer: J. Matoušek (Praha)

MSC: 01A55 51-03 51N15

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Hartimo, Mirja Helena

Towards completeness: Husserl on theories of manifolds 1890–1901. (English) Zbl 1120.01012

Synthese 156, No. 2, 281-310 (2007).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A55 01A60 00A30 03A05

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Barrow-Green, June; Gray, Jeremy

Geometry at Cambridge, 1863–1940. (English) Zbl 1101.01007

Hist. Math. 33, No. 3, 315-356 (2006).

Reviewer: Jean-Paul Pier (Luxembourg)

MSC: 01A55 01A60 51A05 53A55

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Marchisotto, Elena Anne Corie

The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt. (English) Zbl 1101.51002

Hist. Math. 33, No. 3, 277-314 (2006).

MSC: 51-02 51M35 51J10 01-02 01A55 01A70 51A05

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Goenner, Hubert

On the history of unified field theory: Einstein’s years of unsuccessful research. (Zur Geschichte der einheitlichen Feldtheorie: Einsteins Jahre erfolgloser Forschung.) (German) Zbl 1089.83002

Ann. Phys. (8) 15, No. 1-2, 149-158 (2006).

Reviewer: Hans-Jürgen Schmidt (Potsdam)

MSC: 83-03 01A60 83C47 83E05 83D05

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Ehrlich, Philip

The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes. (English) Zbl 1086.01024

Arch. Hist. Exact Sci. 60, No. 1, 1-121 (2006).

Reviewer: Ülo Lumiste (Tartu)

MSC: 01A55 12-03 12J05

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Goenner, Hubert F. M.

On the history of unified field theories. (English) Zbl 1070.83024

Living Rev. Relativ. 7, Article No. 2004-2, 152 p. (2004).

MSC: 83D05 83-02 83-03 01A60

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Rowe, David E.

The mathematicians’ happy hunting ground: Einstein’s general theory of relativity. (English) Zbl 1127.01010

Math. Intell. 26, No. 2, 58-66 (2004).

Reviewer: Boris M. Schein (Fayetteville)

MSC: 01A60 83-03

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Cerroni, Cinzia

Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang. (English) Zbl 1059.51002

Hist. Math. 31, No. 3, 320-336 (2004).

Reviewer: Victor V. Pambuccian (Phoenix)

MSC: 51-03 51A35 01A60 01A70 17D05

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Grattan-Guinness, I.

Algebras, projective geometry, mathematical logic, and constructing the world: intersections in the philosophy of mathematics of A. N. Whitehead. (English) Zbl 1046.00003

Hist. Math. 29, No. 4, 427-462 (2002); corrigendum ibid. 30, No. 1, 96 (2003).

Reviewer: Michel Weber (Louvain-la-Neuve)

MSC: 00A30 01A60 03-03 03A05 01A70

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Awodey, Steve; Reck, Erich H.

Completeness and categoricity. I: Nineteenth-century axiomatics to twentieth-century metalogic. (English) Zbl 1031.03002

Hist. Philos. Log. 23, No. 1, 1-30 (2002).

MSC: 03-03 01A55 01A60 03B15 03C35

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Parshall, Karen Hunger

Perspectives on American mathematics. (English) Zbl 0979.01015

Bull. Am. Math. Soc., New Ser. 37, No. 4, 381-405 (2000).

Reviewer: Przemysław Skibinski (Łódź)

MSC: 01A55 01A60

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Gray, Jeremy

The foundations of geometry and the history of geometry. (English) Zbl 0947.01008

Math. Intell. 20, No. 2, 54-59 (1998).

MSC: 01A55 01A60 51-03

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Feffer, Loren Butler

Mathematical physics and the planning of American Mathematics: Ideology and institutions. (English) Zbl 0879.01022

Hist. Math. 24, No. 1, 66-85 (1997).

Reviewer: T.Thrivikraman (Cochin)

MSC: 01A60 01A80

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Epple, Moritz

Branch points of algebraic functions and the beginnings of modern knot theory. (English) Zbl 0855.01014

Hist. Math. 22, No. 4, 371-401 (1995).

Reviewer: J.J.Cross (Melbourne)

MSC: 01A55 01A60

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Burn, R. P.

Irrational numbers in English language textbooks, 1890–1915: Constructions and postulates for the completeness of the real numbers. (English) Zbl 0755.01023

Hist. Math. 19, No. 2, 158-176 (1992).

Reviewer: D.Laugwitz (Darmstadt)

MSC: 01A60 01A55 26-03

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Moore, Gregory H.

Sixty years after Gödel. (English) Zbl 0739.01018

Math. Intell. 13, No. 3, 6-11 (1991).

Reviewer: A.C.Lewis (Hamilton)

MSC: 01A60

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Birkhoff, Garrett; Bennett, Mary Katherine

Hilbert’s “Grundlagen der Geometrie”. (English) Zbl 0664.51001

Rend. Circ. Mat. Palermo, II. Ser. 36, No. 3, 343-389 (1987).

Reviewer: H.Schaal

MSC: 51-02 51-03 01A55 01A60 01A72 51M05 51M10

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Mac Lane, Saunders

Topology becomes algebraic with Vietoris and Noether. (English) Zbl 0577.01030

J. Pure Appl. Algebra 39, 305-307 (1986).

Reviewer: H.Guggenheimer

MSC: 01A60 55-03

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Hawkins, Thomas

The Erlanger Programm of Felix Klein: Reflections on its place in the history of mathematics. (English) Zbl 0553.01009

Hist. Math. 11, 442-470 (1984).

Reviewer: R.Cooke

MSC: 01A55

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Zund, J. D.

Some comments on Riemann’s contributions to differential geometry. (English) Zbl 0513.01005

Hist. Math. 10, 84-89 (1983).

MSC: 01A55 53-03

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Milnor, John W.

Hyperbolic geometry: the first 150 years. (Л.) (English) Zbl 0486.01006

Bull. Am. Math. Soc., New Ser. 6, 9-24 (1982).

Reviewer: Karl Strubecker (Karlsruhe)

MSC: 01A55 01A60 51-03 51M10 57R15

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Segal, S. L.

Helmut Hasse in 1934. (English) Zbl 0429.01010

Hist. Math. 7, 46-56 (1980).

MSC: 01A70 01A60

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Johnson, Dale M.

The problem of the invariance of dimension in the growth of modern topology, part I. (English) Zbl 0424.54020

Arch. Hist. Exact Sci. 20, 97-188 (1979).

MSC: 54F45 54-03 01A55

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Guggenheimer, H.

The Jordan Curve Theorem and an unpublished manuscript by Max Dehn. (English) Zbl 0357.01023

Arch. Hist. Exact Sci. 17, 193-200 (1977).

MSC: 01A60 01A55 51-03

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Cohen, Leon W.

James Waddell Alexander 1888–1971. (English) Zbl 0267.01019

Bull. Am. Math. Soc. 79, 900-903 (1973).

MSC: 01A70 01A60

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Found 68 Documents (Results 1–68)

Francesco Severi’s mathematical library. (English) Zbl 1532.14004

Poncelet’s discovery of homology. (English. French summary) Zbl 1526.01015

History of mathematics through collaboration: toward a composite portrait of Oswald Veblen. Abstracts from the workshop held December 4–10, 2022. (English) Zbl 1521.00013

Completeness: from Husserl to Carnap. (English) Zbl 07580911

H.S.M. Coxeter’s theory of accessibility: from Mario Pieri to Marvin Greenberg. (English) Zbl 1505.01044

The American Mathematical Society and applied mathematics from the 1920s to the 1950s: a revisionist account. (English) Zbl 1498.01036

Poincaré’s works leading to the Poincaré conjecture. (English) Zbl 1495.01015

Frege on intuition and objecthood in projective geometry. (English) Zbl 1529.01016

A competent translation/a pitiful bungle: The foundations of geometry. (English) Zbl 1522.01029

On infinitesimals and indefinitely cut wooden sticks: a Chinese debate on ‘mathematical logic’ and Russell’s Introduction to mathematical philosophy from 1925. (English) Zbl 1512.03014

Frege and the origins of model theory in nineteenth century geometry. (English) Zbl 1507.03004

Projective duality and the rise of modern logic. (English) Zbl 1500.03001

Einstein on involutions in projective geometry. (English) Zbl 1485.01032

…and so on: Schütte on naming ordinals. (English) Zbl 1535.03002

‘An inalienable prerogative of a liberated spirit’: postulating American mathematics. (English) Zbl 1460.01010

Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics. (English) Zbl 1471.01016

About the cover: The fine-Petrović polygons and the Newton-Puiseux method for algebraic ordinary differential equations. (English) Zbl 1443.34002

Republication of: Dirac electron in the gravitational field. I. (English) Zbl 1437.83069

The axiomatic destiny of the theorems of Pappus and Desargues. (English) Zbl 1454.01016

H. Weyl’s deep insights into the mathematical and physical worlds: his important contribution to the philosophy of space, time and matter. (English) Zbl 1442.83004

Prolegomena to any theory of proof simplicity. (English) Zbl 1441.03007

Carnap’s early metatheory: scope and limits. (English) Zbl 1406.03021

The origin of the notion of manifold: from Riemann’s Habilitationsvortrag onward. (English) Zbl 1385.01007

‘Nobody could possibly misunderstand what a group is’: a study in early twentieth-century group axiomatics. (English) Zbl 1379.01014

Book review of: R. Chorlay, Géométrie et topologie différentielles, 1918–1932. (English) Zbl 1378.00045

An American postulate theorist: Edward V. Huntington. (English) Zbl 1404.01020

The triangulation of manifolds: topology, gauge theory, and history. (English) Zbl 1373.57003

Bridging the gap between analytic and synthetic geometry: Hilbert’s axiomatic approach. (English) Zbl 1384.03007

On the motives for proof theory. (English) Zbl 1429.03002

Three approaches to inverse semigroups. (English) Zbl 1391.20034

Bisections explain the Reidemeister-Singer theorem: a return to the roots. (Les bissections expliquent le théorème de Reidemeister-Singer : un retour aux sources.) (French. English summary) Zbl 1350.57025

Frigyes Riesz and the emergence of general topology. The roots of ‘topological space’ in geometry. (English) Zbl 1319.01019

On the history of unified field theories. II. (ca. 1930 – ca. 1965). (English) Zbl 1320.83003

The set of paths in a space and its algebraic structure. A historical account. (English. French summary) Zbl 1382.01006

Early explicit examples of non-Desarguesian plane geometries. (English) Zbl 1247.51004

An American goes to Europe: three letters from Oswald Veblen to George Birkhoff in 1913/1914. (English) Zbl 1235.01013

Brief history of a relativistic century. (English) Zbl 1225.83003

The axiomatics of ordered geometry: I. Ordered incidence spaces. (English) Zbl 1227.51010

A history of the universality of mathematical matrices. (Une histoire de l’universalité des matrices mathématiques.) (French. English summary) Zbl 1225.15003

A brief historical introduction to Euler’s formula for polyhedra, topology, graph theory and networks. (English) Zbl 1292.97052

From problems to structures: the Cousin problems and the emergence of the sheaf concept. (English) Zbl 1198.01001

The emergence of open sets, closed sets, and limit points in analysis and topology. (English) Zbl 1153.54001

von Staudt‘s theory of “Würfe“ (jets) – an irruption of algebra in pure geometry. (La théorie des “Würfe” de von Staudt – une irruption de l’algèbre dans la géométrie pure.) (English) Zbl 1145.01012

Towards completeness: Husserl on theories of manifolds 1890–1901. (English) Zbl 1120.01012

Geometry at Cambridge, 1863–1940. (English) Zbl 1101.01007

The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt. (English) Zbl 1101.51002

On the history of unified field theory: Einstein’s years of unsuccessful research. (Zur Geschichte der einheitlichen Feldtheorie: Einsteins Jahre erfolgloser Forschung.) (German) Zbl 1089.83002

The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes. (English) Zbl 1086.01024

On the history of unified field theories. (English) Zbl 1070.83024

The mathematicians’ happy hunting ground: Einstein’s general theory of relativity. (English) Zbl 1127.01010

Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang. (English) Zbl 1059.51002

Algebras, projective geometry, mathematical logic, and constructing the world: intersections in the philosophy of mathematics of A. N. Whitehead. (English) Zbl 1046.00003

Completeness and categoricity. I: Nineteenth-century axiomatics to twentieth-century metalogic. (English) Zbl 1031.03002

Perspectives on American mathematics. (English) Zbl 0979.01015

The foundations of geometry and the history of geometry. (English) Zbl 0947.01008

Mathematical physics and the planning of American Mathematics: Ideology and institutions. (English) Zbl 0879.01022

Branch points of algebraic functions and the beginnings of modern knot theory. (English) Zbl 0855.01014

Irrational numbers in English language textbooks, 1890–1915: Constructions and postulates for the completeness of the real numbers. (English) Zbl 0755.01023

Sixty years after Gödel. (English) Zbl 0739.01018

Hilbert’s “Grundlagen der Geometrie”. (English) Zbl 0664.51001

Topology becomes algebraic with Vietoris and Noether. (English) Zbl 0577.01030

The Erlanger Programm of Felix Klein: Reflections on its place in the history of mathematics. (English) Zbl 0553.01009

Some comments on Riemann’s contributions to differential geometry. (English) Zbl 0513.01005

Hyperbolic geometry: the first 150 years. (Л.) (English) Zbl 0486.01006

Helmut Hasse in 1934. (English) Zbl 0429.01010

The problem of the invariance of dimension in the growth of modern topology, part I. (English) Zbl 0424.54020

The Jordan Curve Theorem and an unpublished manuscript by Max Dehn. (English) Zbl 0357.01023

James Waddell Alexander 1888–1971. (English) Zbl 0267.01019

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