Books written • 1970.
The Development of the Foundations of Mathematical Analysis from Euler to Riemann.
MIT Press. • 1972.
Joseph Fourier, 1768–1830 (In collaboration with J.R. Ravetz). MIT Press. • 1977. ''Dear Russell—Dear Jourdain: a Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain''.
Duckworth. • 1980.
From the Calculus to Set Theory, 1630–1910: An Introductory History (with chapters written by
H. J. M. Bos et al.). Duckworth. • 1982.
Psychical Research: A Guide to Its History, Principles & Practices - in celebration of 100 years of the Society for Psychical Research, Aquarian Press, . • 1990.
Convolutions in French Mathematics, 1800–1840 in 3 Vols. Birkhauser. • 1997.
The Fontana History of the Mathematical Sciences: The Rainbow of Mathematics. Fontana Press. (pbk).
Norton History of the Mathematical Sciences. W. W. Norton and Company (1998). (hbk), (pbk). • 1997.
Pierre-Simon Laplace. Princeton University Press. . With
Charles Coulston Gillispie and
Robert Fox. • 2000.
(Reprint) From the Calculus to Set Theory 1630–1910: An Introductory History (ed. by I. Grattan-Guiness with chapters written by
H. J. M. Bos, R. Bunn,
J. W. Dauben, I. Grattan-Guinness,
T. W. Hawkins, & K. Møller Pederson).
Princeton University Press. . • 2000.
The Search for Mathematical Roots, 1870–1940: Logics, Set Theories, and the Foundations of Mathematics from Cantor through Russell to Gödel. Princeton University Press. . Bibliography. (For research on this book he held a
Leverhulme Fellowship from 1995 to 1997.) • 2009
Routes of Learning: Highways, Pathways, and Byways in the History of Mathematics.
Johns Hopkins University Press. .
Editions • W.H. and G.C. Young,
The theory of sets of points, 2nd edition (ed. with R.C.H. Tanner; 1972, New York: Chelsea). [Introduction and appendix.] •
E.L. Post, "The modern paradoxes",
History and philosophy of logic, 11 (1990), 85–91. • Philip E. B. Jourdain,
Selected essays on the history of set theory and logics (1906–1918), (1991, Bologna: CLUEB), xlii + 352 pages. [Introduction and indexes.] •
George Boole,
Selected manuscripts on logic and its philosophy (ed. with G. Bornet, 1997, Basel: Birkhäuser), lxvi + 236 pages.[Part Introduction and editorial material.] • Grattan-Guinness'
The Search for Mathematical Roots 1870–1940 is a sweeping study of the rise of
mathematical logic during that critical period. The central theme of the book is the rise of
logicism, thanks to the efforts of
Frege,
Bertrand Russell, and
Alfred Whitehead, and its demise due to
Gödel and indifference. Whole chapters are devoted to the emergence of
algebraic logic in the 19th century UK,
Cantor and the emergence of
set theory, the emergence of mathematical logic in Germany told in a way that downplays Frege's importance, and to
Peano and his followers. There follow four chapters devoted to the ideas of the young Bertrand Russell, the writing of both
The Principles of Mathematics and
Principia Mathematica, and to the mixed reception the ideas and methods encountered over the period 1910–40. The book touches on the rise of
model theory as well as
proof theory, and on the emergence of American research on the
foundation of mathematics, especially in the hands of
E. H. Moore and his students, of the postulate theorists, and of
Quine. While Polish logic is often mentioned, it is not covered systematically. Finally, the book is a contribution to the
history of philosophy as well as of mathematics.
Books edited • 2003.
Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, 2 vols. Johns Hopkins University Press. • 2005.
Landmark Writings in Western Mathematics 1640-1940.
Elsevier.
Articles • 1975. "Mathematical Bibliography for W. H. and G. C. Young."
Historia Mathematica, Vol. 2, No. 1, February 1975, pp. 43-58. • 1978. "How Bertrand Russell Discovered His Paradox."
Historia Mathematica, Vol. 5, No. 2, May 1978, pp. 127-137. • 1989. "The Earliest Contribution to Location Theory? Spatio-economic Equilibrium with Lamé and Clapeyron, 1829."
Mathematics and Computers in Simulation, Vol. 31, No. 3, July 1986, pp. 195-220. • 1990. "The Varieties of Mechanics by 1800."
Historia Mathematica, Vol. 17, No. 4, November 1990, pp. 313-338. • 1992. "A Note on The Educational Times and Mathematical Questions"
Historia Mathematica, Vol. 19, No. 1, February 1992, pp. 76-78. • 1994. "Contributing to the Educational Times: Letters to W.J.C. Miller."
Historia Mathematica, Vol. 21, No. 2, May 1994, pp. 204-205. • 1996. "Mozart 18, Beethoven 32: Hidden Shadows of Integers in Classical Music", pages 29 to 48 in
History of Mathematics: States of the Art, edited by
Joseph W. Dauben, Menso Folkerts,
Eberhard Knobloch and
Hans Wussing,
Academic Press • 1996. "Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?"
Historia Mathematica, Vol. 23, No. 4, November 1996, pp. 355-375. • 2000. "Christianity and Mathematics: Kinds of Link and the Rare Occurrences after 1750."
Physis: Rivista Internazionale di Storia della Scienza XXXVII. Nuova Serie. Fasc. 2. 2000: 467–500. • 2001. "Manifestations of Mathematics in and around the Christianities: Some Examples and Issues."
Historia Scientiarum 11-1. July 2001: 48–84. • 2002. A Sideways Look at Hilbert's Twenty-Three Problems of 1900,
Notices of the American Mathematical Society 47: 752–57. • 2002. "Algebras, Projective Geometry, Mathematical Logic, and Constructing the World: Intersections in the Philosophy of Mathematics of A. N. Whitehead."
Historia Mathematica, Vol. 29, No. 4, November 2002, pp. 427-462. • 2004. "The Mathematics of the Past: Distinguishing Its History From Our Heritage."
Historia Mathematica, Vol. 31, No. 2, May 2004, pp. 163-185. • 2008. "Foundations of Mathematics and Logicism," in
Michel Weber and Will Desmond (eds.), Handbook of Whiteheadian Process Thought, Frankfurt / Lancaster, Ontos Verlag: 97-104. Cf.
Michel Weber, « Ivor Grattan-Guinness, "Algebras, Projective Geometry, Mathematical Logic, and Constructing the World. Intersections in the Philosophy of Mathematics of A.N. Whitehead", Historia Mathematica 29, N° 4, 2002, pp. 427-462 »,
Zentralblatt MATH, European Mathematical Society, Fachinformationszentrum Karlsruhe & Springer-Verlag, 1046.00003. • 2014. "From Anomaly to Fundament: Louis Poinsot's Theories of the Couple in Mechanics."
Historia Mathematica, Vol. 41, No. 1, February 2014, pp. 82-102. ==References==