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from

A Bibliography of Literary Theory, Criticism and Philology



http://www.unizar.es/departamentos/filologia_inglesa/garciala/bibliography.html

by José Ángel García Landa

(University of Zaragoza, Spain)


Mathematics

Mathematics

Early works

Gender and Mathematics

Mathematicians

Teaching mathematics



Mathematics

Adam, John A. A Mathematical Nature Walk.



http://www.amazon.com/Mathematical-Nature-Walk-John-Adam/dp/0691128952/ref=pe_12351920_txt_10/

2009


Barrow, John D. The Book of Nothing. London: Jonathan Cape, 2000. (Nothingness, Zero, Emptiness, Space, Ether, Paradoxes, Truth, Universe, Mach, Einstein, Augustine, Shakespeare, Void, Being, Creation, Cosmology, Black holes, Aristotle, Big Bang, Quantum theory, Sets, Descartes, Electrons, Energy, God, Gravity, Indian philosophy, Light, Mathematics, Newton, Numbers, Pascal, Quarks, Sub-atomic physics, Time).

_____. El libro de la nada. (Drakontos). Barcelona: Crítica, 2001.*

Bernabé Flores, Manuel. Curiosidades matemáticas. Madrid: Alianza.

Bishop, Alan J. "Western Mathematics: The Secret Weapon of Cultural Imperialism." In The Post-Colonial Studies Reader. Ed. Bill Ashcroft, Gareth Griffiths, and Helen Tiffin. London: Routledge, 1995. 71-76.*

Boal Sánchez, Natalia, and María Luisa Sein-Echaluce Lacleta. "Una experiencia en la Enseñanza de las Matemáticas." In Innovación docente, tecnologías de la información y la Comunicación e Investigación Educativa en la Universidad de Zaragoza. Ed. Antonio Herrera et al. Booklet/CD-ROM. Universidad de Zaragoza, 2007.*

Bojowald, Martin. "4. Algunas observaciones sobre el papel de las matemáticas." In Bojowald, Antes del Big Bang: Una historia completa del Universo. Madrid: Debate, 2010. 97-103.*

Boyer, Carl Benjamin. Hisoria de la Matemática. (Grandes Obras de la Cultura). Barcelona: RBA Coleccionables.

Brunschvicg, Léon. Les Etapes de la philosophie mathématique. 3rd ed. Paris: PUF, 1947.

Cid, Eva, Rafael Escolano, José María Gairín y Julio Sancho. "La formación matemática del futuro maestro: Trabajo dirigido de análisis de textos escolares." In Innovación docente, tecnologías de la información y la Comunicación e Investigación Educativa en la Universidad de Zaragoza. Ed. Antonio Herrera et al. Booklet/CD-ROM. Universidad de Zaragoza, 2007.*

Clark, G. N. "Mathematics and Science." In Clark, The Seventeenth Century. Oxford: Clarendon, 1929. 233-51.*

Crapulli, G. Mathesis universalis: Genesi di un'idea nel xvi secolo. Rome: Ateneo, 1969.

Dantzig, Tobias D. Number: The Language of Science. 4th ed. New York: Doubleday-Anchor Books, 1954.

Davenport, H. The Higher Arithmetic. 3rd ed. London: Hutchinson's University Library, 1968.

Dehaene, Stanislas. The Number Sense: How the Mind Creates Mathematics. New York: Oxford UP, 1997. (Brain)

Doxiadis, Apostolos, and Barry Mazur, eds. Circles Disturbed: The Interplay of Mathematics and Narrative. Princeton (NJ): Princeton UP, 2012. (David Herman, Uri Margolin and Jan Christoph Meister). http://press.princeton.edu/titles/9764.html

Dunham, William W. The Mathematical Universe: An Alphabetical Journey through the Great Proofs, Problems and Personalities. Chichester: John Wiley, 1997.



Enciclopedia Temática Escolar Larousse. 12 vols. Barcelona: Círculo de Lectores / Spes Editorial, 2002.* (Vols. 1-4, Ciencias de la Vida; Vols. 5-8, Ciencias técnicas; Vols. 9-12: Ciencias humanas; Vol. 1: Materia viva. Vol. 2: Salud y vida. Vol. 3: Geografía. Vol. 4: Medio natural. Vol. 5: Física y química. Vol. 6: Matemáticas. Vol. 7: Informática y comunicación. Vol. 8: Tecnología. Vol. 9: Historia del mundo y del pensamiento. Vol. 10: Arte y música. Vol. 11: Lengua. Vol. 12: Literatura).

Escolano Vizcassa, Rafael. Enseñanza del número racional positivo en Educación Primaria: Un estudio desde los modelos de medida y cociente. Zaragoza: Servicio de Publicaciones de la Universidad de Zaragoza, 2007.

Escolano Vizcassa, Rafael, José María Gairín Sallén, Clara Giménez-Gestal, Jesús Murillo Ramón and Luz Roncal Gómez. "Perfil emocional y competencias matemáticas de los estudiantes del grado de educación primaria." Contextos Educativos 15 (2012): 107-34.*

Fauvel, J., and J. Gray, eds. The History of Mathematics: A Reader. 1987. Basingstoke: Macmillan; Milton Keynes: Open UP, 1990.

Fennema, E. "Justice, Equity and Mathematics Education." In Mathematics and Gender. Ed. E. Fennema and G. C. Leder. New York: Teachers College P, 1990.

Frenkel, Edward. (Professor of mathematics, U of California, Berkeley). Love and Math: The Heart of Hidden Reality.

_____. "Is the Universe a Simulation?" The New York Times (Sunday Review) 14 Feb. 2014.*

http://www.nytimes.com/2014/02/16/opinion/sunday/is-the-universe-a-simulation.html

2014


García del Cid, Lamberto. La sonrisa de Pitágoras: Matemáticas para diletantes. Debate. 2006.

García Landa, José Angel. "1 + 1 = 2?" In García Landa, Vanity Fea 31 August 2015.*



http://vanityfea.blogspot.com.es/2015/08/1-1-2.html

2015


_____. "1 + 1 = 2?" Ibercampus (Vanity Fea) 31 Aug. 2015.*

http://www.ibercampus.es/1--1--2-31071.htm

2015


_____. "1 + 1 = 2? (Evolucionismo y matemáticas)" Ibercampus (Vanity Fea) 31 Aug. 2015.*

http://www.ibercampus.es/1--1--2-31071.htm

2015


_____. "1 más 1=2? (Evolucionismo y matemáticas) (1 plus 1 = 2? (Evolutionism and Mathematics))." Social Science Research Network 27 Jan. 2016.*

http://ssrn.com/abstract=2722529

2016

Cognition in Mathematics, Science & Technology eJournal 27 Jan. 2016.*

http://www.ssrn.com/link/Cognition-Math-Science-Tech.html

2016


Philosophy of Science eJournal 27 Jan. 2016.*

http://www.ssrn.com/link/Philosophy-Science.html

2016


Logic & Philosophy of Mathematics eJournal 27 Jan. 2016.*

http://www.ssrn.com/link/Logic-Philosophy-Math.html

2016

Philosophy of Language eJournal 27 Jan. 2016.*

http://www.ssrn.com/link/Philosophy-Language.html

2016

Rhetoric of Academic Disciplines eJournal 27 Jan. 2016.*

http://www.ssrn.com/link/Rhetoric-Academic-Disciplines.html

2016


Gardner, Martin. "Mathematical games." Column in Scientific American.

_____. Time Travel and Other Mathematical Bewilderments. W. H. Freeman, 1988.

_____. Viajes por el tiempo y otras perplejidades matemáticas. Trans. Luis Bou García. Barcelona: RBA, 2007.*

González Santos, José Miguel, José Luis Alejandre Marco and Ana Isabel Allueva Pinilla. "Innovación y mejora de la docencia de la asignatura de Matemáticas en primero de Ingeniería Técnica Agrícola." In Innovación docente, tecnologías de la información y la Comunicación e Investigación Educativa en la Universidad de Zaragoza. Ed. Antonio Herrera et al. Booklet/CD-ROM. Universidad de Zaragoza, 2007.*

Gross, David J. "Physics and Mathematics at the Frontier." Proceedings of the National Academy of Sciences, USA 85 (1988): 8371-5.

Guerrero, Teresa. "La mente matemática de los monos." El Mundo 27 April 2014.*



https://www.flickr.com/photos/garciala/14283972396/in/photostream/

2014


Hawking, Stephen. God Created the Integers: The Mathematical Breakthroughs that Changed History. Running Press, 2007.

Hormigón Blánquez, Mariano. "Las matemáticas en los años finales del siglo XX (I). El Bourbakismo." In La Ciencia actual: Aproximación interdisciplinar (I encuentro). Teruel, 1986. Zaragoza: Secretariado de Publicaciones, U de Zaragoza, 1986. 13-34.*

Kline, Morris. Mathematics in Western Culture. Harmondsworth, 1972.

Laland, Kevin N. "The Mathematical Modelling of Human Culture and Its Implications for Psychology and the Human Sciences." British Journal of Psychology 84 (1993): 145-69.

Le Lionnais, ed. Grands courants de la pensée mathématique. Paris; Hermann, 1948.

Livio, Mario. Is God a Mathematician?

Martín Casalderrey, Francisco. La burla de los sentidos: El arte visto con ojos matemáticos. (El Mundo es Matemático). Barcelona: RBA Coleccionables, 2010.* (Perspective, Alberti, Dürer, Piero della Francesca, El Greco, Zurbarán, Velázquez, Leonardo).

Morrow, E., ed. Teaching and Learning Algorithms in School Mathematics.

Olive, Jenny. Maths: A Student's Survival Guide. Cambridge: Cambridge UP, 1998.

Palais, Bob. "Pi is wrong!"



http://www.math.utah.edu/~palais/pi.html

2007-04-14

Paulos, John Allen. Mathematics and Humour. Chicago: Chicago UP, 1980.

_____. Irreligion: A Mathematician Explains Why the Arguments for God Just Don't Add Up. Hill and Wang, 2007.

Poincaré, Henri. Ciencia y método, in Sobre la ciencia y el método. Barcelona: Círculo de Lectores, 1997.*

_____. Sobre la ciencia y el método: Ciencia y método / El espacio / Últimos pensamientos. (Biblioteca Universal, Ciencia). Introd. José Manuel Sánchez Ron. Trans. M. García Miranda, L. Alonso, A. B. Besio and J. Banfi. Barcelona: Círculo de Lectores, 1997.*

Quine, Willard van Orman. Mathematical Logic. Rev. ed. New York: Harper and Row, 1962.

Ramsey, F. P. The Foundations of Mathematics and Other Logical Essays. New York: Harcourt, 1931.

Reinhardt, Fritz, and Heinrich Soeder,. Atlas de matemáticas, 2. (Alianza Atlas). Madrid: Alianza, 1996.

Reiss, Timothy J. "From Trivium to Quadrivium: Ramus, Method and Mathematical Technology." In The Renaissance Computer: Knowledge Technology in the First Age of Print. Ed. Neil Rhodes and Jonathan Sawday. London and New York: Routledge, 2000. 45-58.*

Rothstein, Edward. Emblems of Mind: The Inner life of Music and Mathematics. New York: Times Books, 1995.

Russell, Bertrand. Los principios de la matemática. Trans. José Barrio Gutiérrez. Introd. Jesús Mosterín. Barcelona: Círculo de Lectores, 1997.*

_____. "La matemática y la astronomía griega primitivas." In Russell, Historia de la Filosofía Occidental, in Russell, Historia de la filosofía. Madrid: Aguilar, 1973.*

Russell, Bertrand, and A. N. Whitehead. Principia Mathematica. 1910-13. 3 vols. Cambridge: Cambridge UP, 1925. (Vol. 1 to *56 is available as a CUP paperback).

Serres, Michel. Hermes I: La communication. Paris: Minuit, 1968. (Mathematics, retrospection).

Shannon, Claude Elwood. "A Mathematical Theory of Communication." Bell Systems Technical Journal 27 (Jul.-Oct. 1948): 379-423, 623-656.

_____. "A Mathematical Theory of Communication." Rpt. in The Mathematical Theory of Communication. By Claude E. Shannon and Warren Weaver. Urbana: U of Illinois P, 1949. Rpt. 1998.

Shapin, Steven. "Certainty and Civility: Mathematics and Boyle's Experimental Conversation." Ch. 7 of Shapin, Social History of Truth: Civility and Science in Seventeenth-Century England. Chicago: U of Chicago P, 1994. 310-54.*

Smolin, Lee. "II. 5. Mathematics." In The Singular Universe and the Reality of Time. By Roberto Mangabeira Unger and Lee Smolin. Cambridge: Cambridge UP, 2015. 422-46.* (Reality; Physics; Mathematics).

Stewart, Ian. From Here to Infinity: A Guide to Today's Mathematics.

_____. The Science of Discworld.

_____. The Science of Discworld II: What Shape Is a Snowflake?

_____. Flatterland.

_____. Math Hysteria: fun and Games with Mathematics. Oxford: Oxford UP, 2004.

Stillwell, J. "Exceptional Objects in Mathematics." American Mathematical Monthly 105 (1998): 850-58.

Structure of Language and Its Mathematical Aspects: Proceedings of Symposia in Applied Mathematics 12 (1961).

Tegmark, Max. Our Mathematical Universe.

Unger, Roberto Mangabeira. "I.1. The Science of the One Universe in Time." In The Singular Universe and the Reality of Time. By Roberto Mangabeira Unger and Lee Smolin. Cambridge: Cambridge UP, 2015. 1-45.* (Cosmology, fallacies, time, mathematics, universe, laws, causality).

_____. "I.6. The Selective Realism of Mathematics." In The Singular Universe and the Reality of Time. By Roberto Mangabeira Unger and Lee Smolin. Cambridge: Cambridge UP, 2015. 302-48.* (Mathematics, Evolution, Hilbert).

Unger, Roberto Mangabeira, and Lee Smolin. The Singular Universe and the Reality of Time. Cambridge: Cambridge UP, 2015.*

Wallis. The Mathematical Work. London: Taylor and Francis, 1938.

Watson, Peter. "12. Falsafah y al-Jabr en Bagdad y Toledo." In Watson, Ideas: Historia intelectual de la Humanidad. Barcelona: Crítica, 2006. 411-46.* (Arabic civilization; hadith, Averroes, Avicenna).

Whitehead, A. N. An Introduction to Mathematics. Oxford: Oxford UP, 1911. Pbk (Great Books of the Western World, 56). Oxford: Oxford UP, 1990.

_____. "Mathematics and the Good" in The Philosophy of Alfred North Whitehead. Ed. P. A. Schilpp. 1941. 2nd. ed. New York, Tudor, 1951. 666-81.

_____. "Mathematics and the Good." In Science & Philosophy. Philosophical Library, 1948.

Wiener, Norbert. I Am a Mathematician. The Later Life of an Ex-Prodigy. Garden City (NY): Doubleday, 1956.

Wigner, Eugene P. "The Unreasonable Effectiveness of Mathematics in the Natural Sciences." Communications on Pure and Applied Mathematics 13 (1960): 1-14.

Wolfram, Stephen. A New Kind of Science. 2002.

http://www.wolframscience.com/

2011
Blogs



Gaussianos. Blog on mathematics.

http://gaussianos.blogsome.com/

2006-10-11


Sociedad andaluza de educación matemática Thales

http://thales.cica.es/

2009


Dictionaries and encyclopedias
Enciclopedia Temática Escolar Larousse. 12 vols. Barcelona: Círculo de Lectores / Spes Editorial, 2002.* (Vols. 1-4, Ciencias de la Vida; Vols. 5-8, Ciencias técnicas; Vols. 9-12: Ciencias humanas; Vol. 1: Materia viva. Vol. 2: Salud y vida. Vol. 3: Geografía. Vol. 4: Medio natural. Vol. 5: Física y química. Vol. 6: Matemáticas. Vol. 7: Informática y comunicación. Vol. 8: Tecnología. Vol. 9: Historia del mundo y del pensamiento. Vol. 10: Arte y música. Vol. 11: Lengua. Vol. 12: Literatura).
Internet resources

DivulgaMat.net: Centro virtual de divulgación de las matemáticas

http://www.divulgamat.net/

2005-01-27


MacTutor History of Mathematics (U of St Andrews).

http://www-history.mcs.st-andrews.ac.uk/

2009
Math.com: The World of Math Online



http://www.math.com/

2006-03-09


"Mathematics." Wikipedia: The Free Encyclopedia.*

http://en.wikipedia.org/wiki/Mathematics

2015



Mathworlds


http://www.mathwords.com/

2005-11-05

Journals

Cognition in Mathematics, Science & Technology eJournal.*

http://www.ssrn.com/link/Cognition-Math-Science-Tech.html

2016
Commun. Pure Appl. Math. 13 (1960).


Journal of Mathematical Psychology 37 (1993).
Revista Matemática Complutense

Servicio de Publicaciones de la Universidad Complutense de Madrid

Vol. 19 (2006)

http://www.mat.ucm.es/serv/revista/

2007-01-28


Mathématique et Sciences Humaines 9.33 (1971).
Series

(Biblioteca Desafíos Matemáticos). Barcelona: RBA, 2007.*


(Materialien des Universitätsschwerpunktes Mathematisierung der Einzelwissenschaft, 17). Bielefeld: Universität Bielefeld.
(Memoirs Amer. Math. Soc. 66).
(El Mundo es Matemático). Barcelona: RBA Coleccionables, 2010.*

MathSCInet. Database. (American Mathematical Society)

http://www.ams.org/mathscinet/

2009


Societies and institutions

American Mathematical Society



http://www.ams.org/

Video


Block, Ned, et al. "What Can Mathematics Teach Us about Mind / Brain?" Round table at the New York Psychoanalytic Society & Institute. YouTube (helixcenter) 17 Sept. 2012.*

https://youtu.be/59oTDSgemtE

2015
Chaitin, Gregory, et al. "The Limitation of Mental and Physical Reality." Video panel discussion. YouTube (Philoctetes Center) 15 March 2011.*



https://youtu.be/80R3goexOew

2015
The Great Math Mystery. Nova documentary. Online at YouTube (Pro Documentary) 11 June 2005.*



https://youtu.be/8gd-gUlBv_s

2015


See also Arithmetic; Calculus; Geometry; Numbers; Statistics.

Mathematics: Early works
Bessel, Friedrich. Tabulae Regiomontanae. 1830.

Blancanus, J., ed. Aristotelis loca mathematica. 1615.

Carroll, Lewis. Curiosa Mathematica. 1888-93.

Diderot, Denis. Mémoires sur différents sujets de mathématiques. 1748.

Napier, J. Logarithmorum canonis descriptio sev Arithmeticarum svppvtationvm mirabilis abbreviatio… London: Barth. Vincent, 1620.

_____. Description of the Admirable Table of Logarithms. Trans. Edward Wright [with additions by Henry Brigs [Brigges]. London: Nicholas Okes, 1616.

Newton, Isaac. Philosophiae Naturalis Principia Mathematica. 1687.

Newton, Isaac. Philosophiae Naturalis Principia Mathematica. 1687.

_____. Principia Mathematica. 3rd ed. 1726.

_____. Isaac Newton's Mathematical Principles of Natural Philosophy and his "System of the World." Trans. Andrew Motte. 1729. Rev. and ed. Florian Cajori. 2 vols. Berkeley, 1962.

_____. The Principia: Mathematical Principles of Natural Philosophy. 1687. Trans. I. Bernard Cohen and Anne Whitman. Berkeley and London: Uy of California P, 1999.

_____. Principia Mathematica. French trans. Émilie du Châtelet.

_____. Principios matemáticos de la Filosofía Natural. Ed. Antonio Escohotado. Trans. Antonio Escohotado and M. Sáenz de Heredia. Madrid: Tecnos, 1987. Rpt. Barcelona: Altaya, 1997.*

_____. "Principios matemáticos de la filosofía natural." In A Hombros de Gigantes: Las grandes obras de la física y la astronomía. Ed. Stephen Hawking. Barcelona: Crítica, 2004. Pbk. 2012. 165-96.*

_____. "Principios matemáticos de la filosofía natural." In A Hombros de Gigantes: Las grandes obras de la física y la astronomía. Ed. Stephen Hawking. Barcelona: Crítica, 2004. Pbk. 2012. 165-96.*

Oughtred, William. Clavis Mathematicae. 1631.

Peirce, C. S. New Elements of Mathematics. Ed. C. Eisele. 4 vols. The Hague: Mouton, 1976.

_____. New Elements… In Collected Papers of Charles S. Peirce. Ed. C. Hartshorne and Paul Weiss. 3: 839-44; 4: 235-63.

Ramus, Petrus. Scholarum mathematicarum, libri vnus et triginta. Bassel: Eusebius Episcopus & Nicholas his brother's successors, 1569. (= Scholae mathematicae).

Theon Smyrnaeus. Mathematica. 1644.

Urquhart, Thomas (Sir). Isoplasfonikon. Mathematics.

Vives, Juan Luis. De discipliniis. 1531. (Disciplines, Arts, Letters, Grammar, Dialectic, Rhetoric, Natural philosophy, Medicine, Mathematics, Moral Philosophy, Civil Law, Metaphysics, Probability, Truth, Argumentation, Logic).

_____. Las disciplinas. Trans. Lorenzo Riber (Real Academia Española). Introd. Francisco José Fortuny. Madrid: Aguilar, 1948.

_____. Las disciplinas. Trans. Lorenzo Riber. Introd. Francisco José Fortuny. 2 vols. (Historia del Pensamiento, 83, 84). Barcelona: Orbis, 1985.*

Wilkins, John. Mathematical Magic. 1649.

Gender and mathematics

Benbow, C. P., and J. C. Stanley. "Sex Differences in Mathematical Ability: Fact or Artifact." Science 210 (1980): 1234-36.

_____. "Sex Differences in Mathematical Reasoning Ability: More Facts." Science 222 (1983): 1029-31.

Bower, B. "The Math Gap: Puzzling Sex Differences." Science News 130 (1986): 357.

Fennema, E., and G. C. Leder, eds. Mathematics and Gender. New York: Teachers College P, 1990.

Leder, G. C. "Gender Differences in Mathematics: An Overview." In Mathematics and Gender. Ed. E. Fennema and G. C. Leder. New York: Teachers College Press, 1990.

Wallis, Ruth, and Peter Wallis. "Female Philomaths." Historica Mathematica 7 (1980): 57-64.

Wertheim, Margaret. Pythagoras' Trousers: The Ascent of Mathematical Man. New York: Random House, 1996?



Mathematicians

Wallis, Ruth, and Peter Wallis. "Female Philomaths." Historica Mathematica 7 (1980): 57-64.

Wertheim, Margaret. Pythagoras' Trousers: The Ascent of Mathematical Man. New York: Random House, 1996?

Blogs


Mathemata Ellenika. Blog in Greek. (Gonzalo Jerez, Spain)

http://tamathemata.blogspot.com/ 2009
Films

Pi. Dir. Darren Aronofsky.

Internet resources



Matemáticos de nuestro tiempo

http://personales.ya.com/casanchi/ref/matematicos02.htm

2008


Teaching mathematics
Allueva Pinilla, Ana Isabel, José Luis Alejandre Marco and José Miguel González Santos. "Base de datos en red de recursos matemáticos." In Innovación docente, tecnologías de la información y la Comunicación e Investigación Educativa en la Universidad de Zaragoza. Ed. Antonio Herrera et al. Booklet/CD-ROM. Universidad de Zaragoza, 2007.*

Byrne, G. "Overhaul Urged for Math Teaching." Science 243 (1979): 597.

Cline-Cohen, P. A Calculating People: The Spread of Numeracy in Early America. Chicago: U of Chicago P, 1982.

Escolano Vizcarra, R. Enseñanza del número racional positivo en Educación Primaria: Un estudio desde los modelos de medida y cociente. Zaragoza: Servicio de Publicaciones de la Universidad de Zaragoza, 2007.



Gairín Sallán, José María. "Estudiantes para maestros: Reflexiones sobre la instrucción en los números racionales positivos." Contextos Educativos 6/7 (2003/04): 235-59.*

García Olivares, M. A. "Educación Matemática atendiendo a la diversidad: Análisis de una metodología específica." Ph.D. diss. U of Valladolid, 2008.


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