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Algebras

Bibliography

Corry, Leo. Modern Algebra and the Rise of Mathematical Structures. Basel, Switzerland, and Boston: Birkhäuser, 1996.

Cournot, Antoine Augustin. De l'origine et des limites da la correspondance entre l'algèbre et la géométrie. Paris and Algiers: Hachette, 1847.

Crowe, Michael J. A History of Vector Analysis: The Evolution of the Idea of a Vertical System. Notre Dame and London: Notre Dame University Press, 1967. Reprint, New York: Dover, 1987.

Dieudonné, Jean. A History of Algebraic and Differential Topology 1900–1960. Basel, Switzerland, Birkhäuser, 1989.

Grattan-Guinness, I., ed. Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. 2 vols. London: Routledge, 1994. Reprint, Baltimore: Johns Hopkins University Press, 2003. See especially Part 6.

Hawkins, Thomas W. Emergence of Lie's Theory of Groups: An Essay in the History of Mathematics, 1869–1926. Berlin: Springer, 2002.

Høyrup, Jens. Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin. Berlin and New York: Springer, 2002.

Hutton, Charles. "A History of Algebra." In vol. 2 of his Tracts on Mathematical and Philosophical Subjects. London: F. C. and R. Rivington, 1812.

Klein, J. Greek Mathematical Thought and the Origins of Algebra. Cambridge, Mass.: MIT Press, 1968.

Lam, Lay Yong, and T. S. Ang. Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China. Singapore: World Scientific Publishing, 1992.

Mehrtens, Herbert. Die Entstehung der Verbandstheorie. Hildesheim, Germany: Gerstenberg, 1979.

Nesselmann, G. H. F. Versuch einer kritischen Geschichte der Algebra. Reprint, Frankfurt, Germany: Minerva, 1969.

Novy, Lubos. The Origins of Modern Algebra. Translated by Jaroslav Taner. Prague: Academia, 1973.

Pycior, Helena M. Symbols, Impossible Numbers, and Geometric Entanglements: British Algebra through the Commentaries on Newton's Universal Arithmetick. Cambridge, U.K., and New York: Cambridge University Press, 1997.

Scholz, Erhard, ed. Geschichte der Algebra: Eine Ausführung. Mannheim: Wissenschaftsverlag, 1990. Up to Noether, but no algebraic logic, differential operators, or functional equations.

Sinaceur, Hourya. Corps et modèles: Essai sur l'histoire de l'algèbra réele. Paris: Vrin, 1991. English translation Basel, Switzerland: Birkh.

Stedall, Jacqueline A. A Discourse Concerning Algebra: English Algebra to 1685. Oxford, and New York: Oxford University Press, 2002.

van der Waerden, B. L. A History of Algebra: From al-Khwarizmi to Emmy Noether. Berlin: Springer, 1985. See the remark above on Scholz.

Vercelloni, Luca. Filosofia delle strutture. Florence, Italy: La Nuova Italia, 1988.

Vuillemin, Jules. La philosophie de l'algèbre. Paris: Presses Universitaires de France, 1992.

Wallis, John. Treatise of Algebra, Both Historical and Practical.… London: Printed by J. Playford, for R. Davis, 1685. And not a little corrigible.

Wussing, Hans. The Genesis of the Abstract Group Concept: A Contribution to the History of the Origin of Abstract Group Theory. Translated by Abe Shenitzer. Cambridge, Mass.: MIT Press, 1984. German original, Berlin, 1969.

Zeuthen, H. Die Lehre von den Kegelschnitten im Altertum. Copenhagen: Høst, 1886. Influential source on the supposed Greek geometric algebra.

Additional topics

Science EncyclopediaScience & Philosophy: Adrenoceptor (adrenoreceptor; adrenergic receptor) to AmbientAlgebras - Not Distant Origins?, The Arabic Innovations, European Developments To The Seventeenth Century, Developments With Equations From Descartes To Abel