David Fowler's Bibliography


Books

The Mathematics of Plato's Academy: A New Reconstruction, Oxford: Clarendon Press, (1987); paperback edition, (1989).

Second ed., with addenda, (1999).

Introducing Real Analysis, London: Transworld Publishers, (1973).

Translation of R. Thom, Structural Stability and Morphogenesis, Reading, Mass.: Addison-Wesley/Benjamin, (1972, and frequently republished).

Articles

Eudoxus: Parapegmata and Proportionality, pp. 33-48 of Essays in Memory of Wilbur Knorr, Ancient and Medieval Trends in the Exact Sciences, eds. P. Suppes, J. M. Moravcsik, & H. Mendell, CSLI Publications, Stanford, California, 2000.

A simple approach to the factorial function: convex functions, the Bohr-Molleruo-Artin theorem, and some formulae, Mathematical Gazette 2000.

A simple approach to the factorial function Stirling's formula, Mathematical Gazette 84 (2000).

Inventive Interpretations, Revue d'Histoire des Mathématiques 5 (1999) 149-153.

With C. M. Taisbak: Did Euclid's circles have two kinds of radius, Historia Mathematica 26 (1999) 361-364.

A simple approach to the factorial function The next step, Mathematical Gazette 83 (1999) 53-57.

Lecture Report of Sabetai Unguru, Apollonius of Perga amd Richard of New York: Gloomy thoughts on history of mathematics, Institute of Classical Studies, London, June 16 1998, BSHM Newsletter (1998) 16-17.

With Eleanor Robson, Babylonian Square Roots: YBC 7289 in context, Historia Mathematica 25 (1998) 366-378.

Some episodes in the life and times of Division in Extreme and Mean Ratio, pp. 233-248 Luca Paciolli e la Matematica del Rinascimento, Atti del Convegno Internazionale di Studi, Sansepolero, Perruzzi, 1998.

In Memoriam Wilbur Richard Knorr (1945-1997): An Appreciation, Historia Mathematica, 25 (1998) 123-132.

Obituary: Wilbur Richard Knorr, The Guardian, Wednesday 9th April, 1997.

The book that changed my life, BSHM Newsletter 33 (1987) 32-34.

A simple approach to the factorial function, Mathematical Gazette 80 (1996), 378-381.

A case for non-intervention, British Medical Journal, 311 (Christmas Issue, December 1995), 1691-1693.

The binomial coefficient function, American Mathematical Monthly, 103 (January 1996), 1-17. Also see the cover of the August-September issue, 1995.

Further arithmetical tables, Zeitschrift für Papyrologie und Eigraphik, 105 (1995), 225-228.

Could the Greeks have used mathematical induction? Did they use it?, Physis, 31 (1994), 252-365.

The story of the discovery of incommensurability, revisited, pp.221-235 in K. Gavroglu, J. Christianidis, & E. Nicoliaidis (eds.) Trends in the Historiography of Science, Boston Studies in the Philosophy of Science no. 151, Kluwer, 1994.

An objective and practical method for describing and understanding ratios, Mathématiques, Informatique, et Sciences Humaines, 124 (1993), 5-18.

Article 'Continued Fractions' pp. 730 740 in I Grattan-Guinness, ed., Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Routledge Companion Encyclopedias, 1993.

How to find the golden number without really trying, Mathematics Review, 3 (1993), 2-7.

Dynamis, mithartum, and square, Historia Mathematica, 19 (1992), 418-419.

Dedekind's Theorem: root 2 times root 3 = root 6, The American Mathematical Monthly, 99 (1992) 725-733.

An invitation to read Book X of Euclid's Elements, Historia Mathematica, 19 (1992), 233-264.

Newton, Cotes, and root root 2: a footnote to Newton's theory of the resistance of fluids, pp. 355-368 in P.M. Harman and A.E. Shapiro (eds.), An Investigation of Difficult Things: Essays on Newton and the History of Exact Sciences, Cambridge University Press, 1992.

Ratio and proportion in early Greek mathematics, pp. 98-118 in A.C. Bowen (ed.), Science and Philosophy in Classical Greece, New York & London: Garland, 1992.

Logistic and fractions in early Greek mathematics, pp. 133-147 in P. Benoit, K. Chemla, and J. Ritter (eds.), Histoires de Fractions, Fractions d'Histoire, Stuttgart: Birkhaüser, 1992.

A third year university course in the history of mathematics: actively confronting the past, The Mathematical Gazette, 76 (1992), 46-48.

Perils and pitfalls of history, For the Learning of Mathematics, 11 (June 1991), 15-16.

An approximation technique, and its use by Wallis and Taylor, Archive for History of Exact Sciences, 41 (1991), 189-233.

Yet more on Meno 82a-85d, Phronesis, 35 (1990), 175-181.

Rationalité et raison dans les mathématiques grecques, pp. 111-117 in La Pensée Antique: La Naissance de la Raison en Grèce, Paris: Presses Universitaires de France, 1990.

Logos (rapport) et analogon (proportion) chez Platon, Aristote, et Euclide, pp. 443-472 in J. Petitot (ed.), Logos et Théorie des Catastrophes, A Partir de l'Œuvre de René Thom, Patoño, 1989. [A better version of this is published in A.C. Bowen (ed.), Science and Philosophy in Classical Greece; see above.]

A catalogue of tables, Zeitschrift für Papyrologie und Eigraphik, 75 (1988), 273280.

Analysing ancient analysis (essay review), Ancient Philosophy, 7 (1988), 201-10.

With Sir Eric Turner, L. Koenen, & L.C. Youtie: Euclid, Elements I, Definitions 1-10 (P. Mich III 143), Yale Classical Studies, 28 (1985), 13-24.

400.25 years of decimal fractions, Mathematics Teaching, 111 (1985), 3031.

400 Years of decimal fractions, Mathematics Teaching, 110 (1985), 20-21.

Sir Eric Gardner Turner (obituary), Historia Mathematica, 11 (1984), 126130.

Coloured quadrangles, A guide to the tenth book of Euclid's Elements (essay review), Mathematical Intelligencer, 5 (1983), 69-72.

Egyptian land measurement as the origin of Greek geometry?, 2-Manifold, 4 (1983).

Eratosthenes' ratio for the obliquity of the ecliptic, Isis, 74 (1983), 556562.

Tables of parts, Zeitschrift für Papyrologie und Eigraphik, 53 (1983), 263264. [Updated in ZPE, 75 (1988), 273-280 and extended in ZPE 105 (1995), 235-238; see above.]

With Sir Eric Turner: Hibeh Papyrus i 27: An early example of Greek arithmetical notation, Historia Mathematics, 10 (1983), 344-359.

A note on fractions of the artaba, Zeitschrift für Papyrologie und Epigraphik, 52 (1983), 273-274.

Investigating Euclid's Elements (essay review), British Journal for the Philosophy of Science, 34 (1983), 57-70.

Investigating Euclid's Elements (essay review), British Journal for the Philosophy of Science, 34 (1983), 57-70.

Book II of Euclid's Elements and a pre-Eudoxan theory of ratio, Part 2: Sides and diameters, Archive for History of Exact Sciences, 26 (1982), 193-20.

Book II of Euclid's Elements and a pre-Eudoxan theory of ratio, Part 2: Sides and diameters, Archive for History of Exact Sciences, 26 (1982), 193-209.

A generalisation of the golden section, Fibonacci Quarterly, 20 (1982), 146-158.

Anthyphairetic ratio and Eudoxan proportion, Archive for History of Exact Sciences, 24, (1981), 69-72.

Book II of Euclid's Elements and a pre-Eudoxan theory of ratio, Archive for History of Exact Sciences, 22 (1980), 5-36.

Ratio in early Greek mathematics, Bulletin (New Series) of the American Mathematical Society, 1 (1979), 807-846.

With A. Beck: A Pandora's box of non-games, Manifold, reprinted pp. 59-61 in Seven Years of Manifold,1968-1980, Shiva Publishing (1981).

Archimedes' Cattle Problem and the Pocket Calculating Machine, (1980 with additions in 1980, 1981, and a postscript 1986), Mathematics Institute, University of Warwick.

Advanced calculus, in Global Analysis and its Application, International Atomic Energy Authority, Vienna (1974), 135-185.

The Riemann-Hugoniot catastrophe and van der Waal's equation, in Towards a Theoretical BiologyI, ed. C.H. Washington, Vol. 4, Edinburgh University Press, (1972), 1-7.