Bibliografia

1

M. Abate and F. Tovena. Curves and Surfaces. UNITEXT. Springer Milan, 2012. ISBN 9788847019416. DOI: 10.1007/978-88-470-1941-6. URL https://books.google.it/books?id=iwGjNhpkSeQC.

2

Emilio Acerbi, Luciano Modica, and Sergio Spagnolo. Problemi scelti di Analisi Matematica II. Liguori Editore, 1986. ISBN 88-207-1484-1.

3

L. Ambrosio, C. Mantegazza, and F. Ricci. Complementi di matematica. Scuola Normale Superiore, 2021. ISBN 9788876426933. URL https://books.google.it/books?id=1QR0zgEACAAJ.

4

T. M. Apostol. Mathematical Analysis. Addison - Wesley, 1974.

5

T.M. Apostol. Calculus, Volume 1. Wiley, 1991. ISBN 9780471000051. URL https://books.google.it/books?id=o2D4DwAAQBAJ.

6

John L. Bell. The Axiom of Choice. In Edward N. Zalta, editor, The Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University, Winter 2021 edition, 2021.

7

Andreas Blass. Existence of bases implies the axiom of choice. In Axiomatic set theory (Boulder, Colo., 1983), volume 31 of Contemp. Math., pages 31–33. Amer. Math. Soc., Providence, RI, 1984.

8

H. Cartan. Elementary Theory of Analytic Functions of One or Several Complex Variables. Dover Books on Mathematics. Dover Publications, 2013. ISBN 9780486318677. URL https://books.google.it/books?id=xUHDAgAAQBAJ.

9

Mariano Giaquinta and Giuseppe Modica. Analisi Matematica 1. Funzioni di una variabile. Pitagora Editrice Bologna, 1999. ISBN 9788837110499.

10

P.R. Halmos. Naive Set Theory. Undergraduate Texts in Mathematics. Springer New York, 2013. ISBN 9781475716450. URL https://books.google.it/books?id=jV_aBwAAQBAJ.

11

H. Herrlich. Axiom of Choice. Axiom of Choice. Springer, 2006. ISBN 9783540309895. URL https://books.google.it/books?id=JXIiGGmq4ZAC.

12

D. Hilbert, E.J. Townsend, and E. Jerome. The Foundations of Geometry. Project Gutenberg. Project Gutenberg., 2004. URL https://www.gutenberg.org/ebooks/17384.

13

P.G. Hinman. Fundamentals of Mathematical Logic. Taylor & Francis, 2005. ISBN 9781568812625. URL https://books.google.it/books?id=xA6D8o72qAgC.

14

T. Jech. Set Theory: The Third Millennium Edition, revised and expanded. Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2007. ISBN 9783540447610. URL https://books.google.it/books?id=CZb-CAAAQBAJ.

15

J.L. Kelley. General Topology. Graduate Texts in Mathematics. Springer New York, 1975. ISBN 9780387901251. URL https://books.google.it/books?id=-goleb9Ov3oC.

16

Steven G. Krantz. The Axiom of Choice, pages 121–126. Birkhäuser Boston, Boston, MA, 2002. ISBN 978-1-4612-0115-1. DOI: 10.1007/978-1-4612-0115-1_9.

17

Azriel Levy. The independence of various definitions of finiteness. Fundamenta Mathematicae, 46:1–13, 1958. DOI: 10.4064/fm-46-1-1-13. URL https://api.semanticscholar.org/CorpusID:118218255.

18

G. H. Meisters. Polygons have ears. The American Mathematical Monthly, 82(6):648–651, 1975. ISSN 00029890, 19300972. DOI: 10.2307/2319703.

19

Jan Mycielski. A system of axioms of set theory for the rationalists. volume 53, pages 206–213, 2006. URL https://www.ams.org/journals/notices/200602/200602FullIssue.pdf.

20

Livio C. Piccinini, Giovanni Vidossich, and Guido Stampacchia. Equazioni differenziali ordinarie in \(R^ N\) (problemi e metodi). Liguori Editore, 1978.

21

to3em. Ordinary Differential Equations in Rn. Springer, 1984. ISBN 978-0-387-90723-9. DOI: 10.1007/978-1-4612-5188-0.

22

H. Rubin and J.E. Rubin. Equivalents of the Axiom of Choice, II. ISSN. Elsevier Science, 1985. ISBN 9780080887654. URL https://books.google.it/books?id=LSsbBU9FesQC.

23

Walter Rudin. Principles of Mathematical Analysis. McGraw–Hill, New York, 3rd edition, 1964.

24

Alfred Tajtelbaum-Tarski. Sur quelques théorèmes qui équivalent à l’axiome du choix. Fundamenta Mathematicae, 5(1):147–154, 1924.

25

A. E. Taylor. L’hospital’s rule. The American Mathematical Monthly, 59(1):20–24, 1952. ISSN 00029890, 19300972. URL http://www.jstor.org/stable/2307183.

26

Gerald Teschl. Ordinary differential equations and dynamical systems, volume 140. American Mathematical Soc., 2012. ISBN 978-0-8218-8328-0. URL http://www.mat.univie.ac.at/~gerald/ftp/book-ode/index.html. (Freely available on the author’s website).

27

Helge Tverberg. A proof of the jordan curve theorem. Bulletin of the London Mathematical Society, 12(1):34–38, 1980. DOI: 10.1112/blms/12.1.34.

28

Wikipedia. Preordine — Wikipedia, l’enciclopedia libera, 2015. URL http://it.wikipedia.org/w/index.php?title=Preordine&oldid=74440486. [Online; in data 1-dicembre-2022].

29

to3em. Mathematical morphology — Wikipedia, the free encyclopedia, 2016. URL https://en.wikipedia.org/w/index.php?title=Mathematical_morphology&oldid=714099245. [Online; accessed 24-July-2016].

30

to3em. Tautologia — Wikipedia, l’enciclopedia libera, 2016. URL http://it.wikipedia.org/w/index.php?title=Tautologia&oldid=81165325. [Online; in data 29-luglio-2016].

31

to3em. Teoria degli insiemi di Zermelo-Fraenkel — Wikipedia, l’enciclopedia libera, 2016. URL https://it.wikipedia.org/w/index.php?title=Teoria_degli_insiemi_di_Zermelo-Fraenkel&oldid=82731028. [Online; in data 19-ottobre-2016].

32

to3em. Teoria ingenua degli insiemi — Wikipedia, l’enciclopedia libera, 2016. URL https://it.wikipedia.org/w/index.php?title=Teoria_ingenua_degli_insiemi&oldid=82742337. [Online; in data 18-ottobre-2016].

33

to3em. Strictly convex space — Wikipedia, the free encyclopedia, 2018. URL https://en.wikipedia.org/w/index.php?title=Strictly_convex_space&oldid=861198993. [Online; accessed 15-maggio-2023].

34

to3em. Insieme diretto — Wikipedia, l’enciclopedia libera, 2019. URL https://it.wikipedia.org/w/index.php?title=Insieme_diretto&oldid=102088385. [Online; in data 25-novembre-2022].

35

to3em. Rete (matematica) — Wikipedia, l’enciclopedia libera, 2019. URL http://it.wikipedia.org/w/index.php?title=Rete_(matematica)&oldid=105548311. [Online; in data 14-dicembre-2022].

36

to3em. Spazio di Baire — wikipedia, l’enciclopedia libera, 2020. URL http://it.wikipedia.org/w/index.php?title=Spazio_di_Baire&oldid=112747513. [Online; in data 3-maggio-2023].

37

to3em. Teorema di Hurwitz (teoria dei numeri) — Wikipedia, l’enciclopedia libera, 2020. URL http://it.wikipedia.org/w/index.php?title=Teorema_di_Hurwitz_(teoria_dei_numeri)&oldid=110293279. [Online; in data 30-novembre-2022].

38

to3em. Dominio d’integrità — Wikipedia, l’enciclopedia libera, 2021. URL http://it.wikipedia.org/w/index.php?title=Dominio_d'integrità&oldid=118873859. [Online; in data 16-novembre-2022].

39

to3em. Identità di Bézout — Wikipedia, l’enciclopedia libera, 2021. URL http://it.wikipedia.org/w/index.php?title=Identità_di_Bézout&oldid=121969472. [Online; in data 30-novembre-2022].

40

to3em. Ordered ring — Wikipedia, the free encyclopedia, 2021. URL https://en.wikipedia.org/w/index.php?title=Ordered_ring&oldid=1035305291. [Online; accessed 16-November-2022].

41

to3em. Teorema di Heine-Borel — Wikipedia, l’enciclopedia libera, 2021. URL http://it.wikipedia.org/w/index.php?title=Teorema_di_Heine-Borel&oldid=124237381. [Online; in data 7-agosto-2023].

42

to3em. Two ears theorem — Wikipedia, the free encyclopedia, 2021. URL https://en.wikipedia.org/w/index.php?title=Two_ears_theorem&oldid=1024888322. [Online; accessed 13-novembre-2022].

43

to3em. Accumulation point — Wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Accumulation_point&oldid=1097360512. [Online; accessed 29-dicembre-2022].

44

to3em. Base (topologia) — Wikipedia, l’enciclopedia libera, 2022. URL http://it.wikipedia.org/w/index.php?title=Base_(topologia)&oldid=130588263. [Online; in data 8-agosto-2023].

45

to3em. Cantor’s intersection theorem — Wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Cantor's_intersection_theorem&oldid=1127277305. [Online; accessed 28-giugno-2023].

46

to3em. Derivazione delle funzioni iperboliche — Wikipedia, l’enciclopedia libera, 2022. URL http://it.wikipedia.org/w/index.php?title=Derivazione_delle_funzioni_iperboliche&oldid=128089918. [Online; in data 23-luglio-2023].

47

to3em. Hurwitz’s theorem (composition algebras) — Wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Hurwitz's_theorem_(composition_algebras)&oldid=1092800573. [Online; accessed 14-novembre-2022].

48

to3em. Resultant — Wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Resultant&oldid=1105451284. [Online; accessed 1-dicembre-2022].

49

to3em. Topologist’s sine curve — wikipedia, the free encyclopedia, 2022. URL https://en.wikipedia.org/w/index.php?title=Topologist_s_sine_curve&oldid=1116036369. [Online; accessed 24-aprile-2023].

50

to3em. Axiom of choice — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Axiom_of_choice&oldid=1173520442. [Online; accessed 28-September-2023].

51

to3em. Baker–Campbell–Hausdorff formula — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Baker-Campbell-Hausdorff_formula&oldid=1168221703. [Online; accessed 7-agosto-2023].

52

to3em. Big O notation — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Big_O_notation&oldid=1161509085. [Online; accessed 24-giugno-2023].

53

to3em. Cantor set — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Cantor_set&oldid=1166344861. [Online; accessed 10-agosto-2023].

54

to3em. Curva di Koch — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Curva_di_Koch&oldid=131755745. [Online; in data 4-maggio-2023].

55

to3em. Determinant — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Determinant&oldid=1169031704. [Online; accessed 10-agosto-2023].

56

to3em. Faà di Bruno’s formula — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Faa_di_Bruno_s_formula&oldid=1160739646. [Online; accessed 19-giugno-2023].

57

to3em. Hermite interpolation — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Hermite_interpolation&oldid=1131496413. [Online; accessed 2-luglio-2023].

58

to3em. Mazur–Ulam theorem — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Mazur-Ulam_theorem&oldid=1169902092. [Online; accessed 29-August-2023].

59

to3em. Natural density — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Natural_density&oldid=1152033872. [Online; accessed 7-agosto-2023].

60

to3em. Poligono — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Poligono&oldid=134370006. [Online; in data 10-agosto-2023].

61

to3em. Punto di discontinuità — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Punto_di_discontinuita&oldid=132026126. [Online; in data 18-maggio-2023].

62

to3em. Rank (linear algebra) — Wikipedia, the free encyclopedia, 2023. URL https://en.wikipedia.org/w/index.php?title=Rank_(linear_algebra)&oldid=1142781860. [Online; accessed 10-agosto-2023].

63

to3em. Regola del prodotto — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Regola_del_prodotto&oldid=133241954. [Online; in data 19-giugno-2023].

64

to3em. Regola di De l’Hôpital — Wikipedia, the free encyclopedia, 2023. URL http://it.wikipedia.org/w/index.php?title=Regola_di_de_l'Hopital&oldid=134135629. [Online; in data 16-settembre-2023].

65

to3em. Teorema di Lagrange — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Teorema_di_Lagrange&oldid=133646261. [Online; in data 16-settembre-2023].

66

to3em. Teorema di Taylor — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Teorema_di_Taylor&oldid=132628671. [Online; in data 16-settembre-2023].

67

to3em. Valutazione p-adica — Wikipedia, l’enciclopedia libera, 2023. URL http://it.wikipedia.org/w/index.php?title=Valutazione_p-adica&oldid=131981334. [Online; in data 3-maggio-2023].

68

Laurent Younes, Peter W. Michor, Jayant Shah, and David Mumford. A metric on shape space with explicit geodesics. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 19(1):25–57, 2008. ISSN 1120-6330. DOI: 10.4171/RLM/506.