Mathematica
Mathematica (, Graece ἡ μαθηματική, scil. ἐπιστήμη sive τέχνη, a voce μανθάνω 'disco') Ayn Rand, quae Kantem vehementer opposuit, etiam de mathematica sententiam peculiarem habebat. In sua philosophia, omnis scientia, mathematica non excepta, ab experientia venit. Secundum Rand, omnes notiones veniunt ex actione qua magnitudines abstractiter a dimensionibus separamus. Haec actio a Rand dicitur magnitudines omittere.

Modernae disciplinae mathematicae principales 

 Algebra
 Analytica
 Fundamenta mathematicae
 Geometria
 Mathematica adhibita
 Statistica

Algebra comprehendit theoriam numerorum, algebram linearem, et algebram abstractam quae tractat de structuribus algebraicis sicut gregibus.

Analysis comprehendit systemata dynamica, analysin numericam, calculus infinitesimalis et plures applicationes
mathematicae ad res physicas, ad biologiam, ad chemiam, necnon ad alias res.

Geometria comprehendit geometrica algebraica et topologia.

Ars coniectandi cum
 theoria probabilitatum et
 statistica theoria probabilitatis utitur (quae theoria pars est analysis).

Fundamenta mathematicae sunt logica, logica modalis, logica mathematica, theoria copiarum, et generatim omnes theoriae quae axiomata praebent ad systemata mathematica describenda.

Mathematici clari 
Vide etiam: Mathematicus
Inter mathematicos clarissimos numerantur homines sequentes.
 Nicolaus Henricus Abel
 Algorismus
 Archimedes
 Georgius Cantor
 Renatus Cartesius
 Augustinus Ludovicus Cauchy
 Albertus Einstein
 Euclides
 Leonhardus Eulerus
 Petrus de Fermat
 Evaristus Galois
 Carolus Fridericus Gauss
 Kurt Gödel
 David Hilbert
 Hypatia
 Gustavus Robertus Kirchhoff
 Iosephus Ludovicus Lagrange
 Godefridus Guilielmus Leibnitius
 Isaacus Newtonus
 Aemilia Noether
 Blasius Pascalis
 Pythagoras
 Brook Taylor
 Bernardus Riemann
 Andreas Wiles

 Demonstratio mathematica
 Arithmetica
 Additio, Subtractio, Multiplicatio, Divisio
 Formula:Figurae geometriae, Formula:Figurae Platonicae
 Logica
 Ratiocinationes Aristotelicae 
 Ratio Propositionum 
 Logicus Infractus
 Philosophia mathematicae

Notae

Fontes generales 
 Res gestae mathematicae a MacTutor.
 Historia mathematicae a Vicipaedia anglica.

Bibliographia

Mythistoriae et libri pro liberis 

 Abbott, Edwin Abbott. 1884 Flatland: A Romance of Many Dimensions. Londinii: Seeley. (ISBN 978-1-903985-17-5: editio nova cum adnotationibus ab Ian Stewart scriptis).
 Ekeland, Ivar. 2006. The Cat in Numberland. Londinii: Cricket. ISBN 978-0-8126-2744-2.
 Enzensberger, Hans Magnus. 1997 Der Zahlenteufel. München: Hanser. ISBN 3-446-18900-9.
 Guedj, Denis. 2000. Le théorème du perroquet. Lutetiae: Seuil. ISBN 978-2-02-042785-2.
 Haber, Melissa Glenn. 2004. The Heroic Adventures of Hercules Amsterdam. London: Puffin. ISBN 978-0-14-240216-0.
 Moranville, Sharelle Byars. 2006. A Higher Geometry. Novi Eboraci: Henry Holt. ISBN 978-0-8050-7470-3.
 Juster, Norton. 1961. The Phantom Tollbooth. Novi Eboraci: Random House. ISBN 978-0-394-81500-8.
 Tahan, Malba. 1949 O homem que calculava. Paulopoli: Edição Saraiva. OCLC 20696544; ISBN 978-85-01-02314-8.

Libri elementarii 
 Courant, Richard, et Herbert Robbins. 1941 What Is Mathematics? Ed. secunda. Oxonii: Oxford University Press. ISBN 0-19-510519-2.
 Davis, Philip J., et Reuben Hersh. 1980. The Mathematical Experience. Bostoniae: Birkhäuser. ISBN 3-7643-3018-X.
 Glaeser, Georg. 2004 Der Mathematische Werkzeugkasten. Monaci: Elsevier-Spektrum Akademischer Verlag. ISBN 3-8274-1485-7.
 Gowers, Timothy. 2002. Mathematics: A Very Short Introduction. Oxonii: Oxford University Press. ISBN 978-0-19-285361-5.
 Kasner, Edward, et James R. Newman. 1940 Mathematics and the Imagination. Novi Eboraci: Simon and Schuster. ISBN 0-486-41703-4.
 Livio, Mario. 2010 Is God a Mathematician? Novi Eboraci: Simon and Schuster. ISBN 978-0-7432-9406-5.
 Newman, James R., ed. 1956 The World of Mathematics. Novi Eboraci: Simon and Schuster. ISBN 978-0-486-43268-7.
 Peterson, Ivars. 2001. The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics Novi Eboraci: Barnes and Noble. ISBN 978-0-7607-2361-6.
 Rademacher, Hans, et Otto Toeplitz. 1930. Von Zahlen und Figuren: Proben Mathematichen Denkens für Liebhaber der Mathematik. Berolini: Springer. ISBN 978-3-540-63303-7.
 Reid, Constance. 2006. From Zero to Infinity: What Makes Numbers Interesting, editio quinta. Wellesley: A. K. Peters. ISBN 978-1-56881-273-1.

De mathematicis et historia mathematicae 
 Bell, Eric Temple. 1937 Men of Mathematics. Novi Eboraci: Simon and Schuster. ISBN 978-0-671-62818-5.
 Berlingoff, William P., et Fernando Q. Gouvêa. 2003 Math Through the Ages, editio altera. Novi Eboraci: Mathematical Association of America. ISBN 978-0-88385-736-6.
 Bourbaki, Nicolas. 1984. Éléments d' histoire de mathématiques. Lutetiae; Springer. ISBN 978-3-540-33938-0.
 Case, Bettye Anne, et Anne M. Legett. 2005 Complexities: Women in Mathematics. Novi Eboraci: Princeton. ISBN 978-0-691-11462-0.
 Cuomo, S. 2001. Ancient Mathematics. Novi Eboraci: Routledge. ISBN 978-0-415-16495-5
 Doxiadis, Apostolos, et Christos Papadimitriou. 2009 Logicomix: An Epic Search for Truth. Novi Eboraci: Bloomsbury USA. ISBN 978-1-59691-452-0.
 Gullberg, Jan. 1997. Mathematics: From the Birth of Numbers. Novi Eboraci: W. W. Norton. ISBN 978-0-393-04002-9.
 Hardy, G. H. 1992. A Mathematician's Apology, editio nova cum introductione a C. P. Snow scripta. Cantabrigiae: Cambridge University Press. ISBN 978-0-521-42706-7.
 Kline, Morris. 1972. Mathematical Thought from Ancient to Modern Times. 3 voll. Oxoniae: Oxford University Press. ISBN 978-0-19-506135-2 (vol. 1), 978-0195061369 (vol. 2), 978-0195061376 (vol. 3).
 Netz, Reviel. 2003. The Shaping of Deduction in Greek Mathematics. Cantabrigiae: Cambridge University Press. ISBN 978-0-521-54120-6.
 Neugebauer, Otto. 1969. The Exact Sciences in Antiquity, ed. secunda. Novi Eboraci: Dover. ISBN 978-0-486-22332-2.
 Plofker, Kim. 2008. Mathematics in India. Princeton: Princeton University Press. ISBN 978-0-691-12067-6.
 Robson, Eleanor, et Jacqueline Stedall, edd. 2009. The Oxford Handbook of the History of Mathematics. Oxonii: Oxford University Press. ISBN 978-0-19-921312-2.
 Smith, David E. 1984. A Source Book in Mathematics. Novi Eboraci: Dover. ISBN 978-0-486-64690-9
 Struik, Dirk. 1987. A Concise History of Mathematics, editio quarta. Novi Eboraci: Dover. ISBN 978-0-486-60255-4.

Ludi mathematici 

 Ball, W. W. Rouse, et H. S. M. Coxeter. 2010. Mathematical Recreations and Essays, editio tertia decima. Novi Eboraci: Dover. ISBN 978-0-486-25357-2.
 Carroll, Lewis. 1958. The Mathematical Recreations of Lewis Carroll (Pillow Problems et A Tangled Tale). Novi Eboraci: Dover. 978-0486204932.
 Criton, Michel. 1998. Les Jeux mathématiques. Series Que sais-je? Lutetiae: PUF. ISBN 978-2-13-048109-6.
 Dudeney, Henry. 1917. Amusements in Mathematics. Londinii: Nelson; Dover, ISBN 978-0-486-20473-4.
 Gardner, Martin. 1994. My Best Mathematical and Logic Puzzles. Novoi Eboraci: Dover. ISBN 978-0-486-28152-0.
 Rosenhouse, Jason, et Laura Taalman. 2011. Taking Sudoku Seriously. Oxonii: Oxford University Press. ISBN 978-0-19-975656-8.

Libri generales 
 Aigner, Martin, et Günter M. Ziegler. 2001. Proofs from The Book. Novi Eboraci: Springer.
 Barwise, Jon. 1977 Handbook of Mathematical Logic. Amstelodami: North-Holland. ISBN 0-7204-2285-X.
 Behnke, H., F. Bachmann, K. Fladt, H. Kunle, et W. Süss, edd.; anglice convertit S. H. Gould. 1974. Fundamentals of Mathematics. Cantabrigiae Massachusettae: MIT Press.
 Tomus 1: Foundations of Mathematics: The Real Number System and Algebra. ISBN 0-262-02048-3.
 Tomus 2: Geometry. ISBN 0-262-02069-6.
 Tomus 3: Analysis. ISBN 0-262-02049-1.
 Gowers, Timothy, June Barrow-Green, Imre Leader, edd. 2008. The Princeton Companion to Mathematics. Princeton: Princeton University Press. ISBN 978-0-691-11880-2.
 Gray, Jeremy. 2008. Plato’s Ghost: The Modernist Transformation of Mathematics. Princeton: Princeton University Press. ISBN 978-0-691-13610-3.
 Hadamard, Jacques. 1945 The Psychology of Invention in the Mathematical Field. Princeton: Princeton University Press, rpt. Dover. ISBN 978-0-486-20107-8.
 Polya, G. 1957. How to Solve It: A New Aspect of Mathematical Method. Princeton: Princeton University Press. ISBN 978-0-691-11966-3.

Nexus externi 
 Regulae abaci  ab Odone anno 1784 
 Francisci Maureolici Opera Mathematica
 Cursus mathematicus: P. GASPARIS SCHOTTI REGIS-CURIANI, E SOCIETATE IESU. Olim in Panormitano Siciliae, nunc in Herbipolitano Franconiae eiusdem SOCIETATIS IESU Gymnasio Matheseos Professoris CURSUS MATHEMATICUS, Sive ABSOLUTA OMNIUM MATHEMATICARUM DISCIPLINARUM. ENCYCLOPAEDIA, In LIBROS XXVIII. digesta, Eoque Ordine disposita, ut quivis, vel mediocri praeditus ingenio, totam Mathesin a primis fundamentis proprio Marte addiscere possit. Opus desideratum diu, promissum a multis, a non paucis tentatum, a nullo numeris omnibus absolutum. Accesserunt in fine THEORESES MECHANICAE NOVAE Additis INDICIBUS locupletissimis - Cum Privilegio Sacrae Caesareae Maiestatis. BAMBERGAE, Sumpt. IOH. MARTINI SCHÖNWETTERI, Bibliopolae Francofurtensis. M. DC. LXXVII.
 Momenti mathematici a Societate Mathematica Americana scripti, linguis pluribus
 Mathematica Reperta, imagines rerum mathematicarum
 Biblioteca digitale rerum mathematicarum
 Fabulae mathematicae, variis linguis
 Porta publica societatis francogallicae rerum mathematicarum
 Biblioteca societatis Europae rerum mathematicarum, apud emis.de
 Certamen internationale ludorum mathematicorum logicorumque, apud vinc17.org
 Docere fontibus historicis utens (anglice), D. Pengelley et R. Laubenbacher
 Mathworld, vel "Mundus mathematicus," a societate Wolfram scriptus (anglice)
 Tabulae geographicae rerum mathematicarum (anglice), D. Rusin
 Biblioteca functionum mathematicarum (anglice), NIST
 Bridges, societas quae pontes facit, ut ita dicam, inter artes et res mathematicas
 Tabula stirpis mathematicorum, magistros et discipulos monstrans

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