Reproduced with the kind permission of Desmond MacHale, author of The Life and Work of George Boole: Prelude to the Digital Age (Cork University Press, 2014)
The Mathematical Analysis of Logic, being an Essay towards a Calculus of Deductive Reasoning
Macmillan, Barclay and Macmillan, Cambridge.
An Investigation of the Laws of Thought, on which are founded the Mathematical Theories of Logic and Probabilities
Walton and Maberley, London.
A Treatise on Differential Equations
Macmillan, Cambridge.
A Treatise on the Calculus of Finite Differences
Macmillan, Cambridge.
Researches on the Theory of Analytical Transformations, with a special application to the Reduction of the General Equation of the Second Order
Cambridge Mathematical Journal, vol. 2, pp. 64–73.
Exposition of a General Theory of Linear Transformations. Part I
Cambridge Mathematical Journal, vol. 3, pp. 1–20.
Exposition of a General Theory of Linear Transformations. Part II
Cambridge Mathematical Journal, vol. 3, pp. 106–119.
On a General Method in Analysis
Philosophical Transactions of the Royal Society, vol. 134, pp. 225–282.
Notes on Linear Transformations
Cambridge Mathematical Journal, vol. 4, pp. 167–171.
On the Equation of Laplace’s Functions
Report of the British Association for the Advancement of Science, Cambridge, Part 2, p. 2.
On the Attraction of a Solid of Revolution on an External Point
Cambridge and Dublin Mathematical Journal, vol. 2, pp. 1–7.
Notes on Quaternions
Philosophical Magazine, vol. 33, no. 3, pp. 278–280.
Theorème général concernant l’intégration definie
Liouville’s Journal de Mathématique, vol. 13, pp. 111–112.
An Account of the late John Walsh of Cork In a letter from Professor Boole to Professor de Morgan
Philosophical Magazine, vol. 2, no. 4, pp. 348–358.
The Social Aspects of Intellectual Culture
An Address to the Cuvierian Society, Cork.
On the Application of the Theory of Probabilities to the Question of the Combination of Testimonies or Judgements
Transactions of the Royal Society of Edinburgh, vol. 21, pp. 597–653.
Über die partielle Differentialgleichung zweiter Ornung Rr+Ss+Tt+U (s2-rt) = V
Crelle’s Journal der Mathematik, vol. 61, pp. 309–333.
1865, translated into English with additional remarks, as Chapter XXIX in A Treatise on Differential Equations: Supplementary Volume edited by Isaac Todhunter. Macmillan, Cambridge.
Bibliography Continued
Ode to the Spring (1830) The Lincoln Herald, dated May 28th.
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Letter to the Editor (1830) The Lincoln Herald, dated June 26th.
Lines to a Departed Friend, From the Greek (1830) The Lincoln Herald, dated July 15th.
To the Evening Star, From the Greek of Bion (1830) The Lincoln Herald, dated August 25th.
An Address on the Genius and Discoveries of Sir Isaac Newton (1835) Gazette Office, Lincoln.
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On the Integration of Linear Differential Equations. with Constant Coefficients (1841)
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Analytical Geometry (1841) Cambridge Mathematical Journal, Vol. 2, pp. 179-188.
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On the Transformation of Definite Integrals (1843) Cambridge Mathematical Journal, Vol.
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Remarks on a Theorem of M. Catalan (1843) Cambridge Mathematical Journal, Vol. 3, pp.
277-283.
On a General Method in Analysis (1844) Philosophical Transactions of the Royal Society,
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On the Equation of Laplace's Functions (1846) Cambridge and Dublin Mathematical
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The Mathematical Analysis of Logic, being an Essay towards a Calculus of Deductive
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On a Method of Definite Integration (1847) Report of the British Association for the
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On the Attraction of a Solid of Revolution on an External Point (1847) Cambridge and
Dublin Mathematical Journal, Vol. 2, pp. 1-7.
On a certain Symbolical Equation (1847) Cambridge and Dublin Mathematical Journal
Vol. 2, pp. 7-12.
Remarks on the Rev. B. Bronwin's Method for Differential Equations (1847) Philosophical
Magazine, Vol. 30, No. 3, pp. 6-8.
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Remarks on a Paper by the Rev. Brice Bronwin, On the Solution of a particular Differential
Equation (1848) Philosophical Magazine, Vol. 32, No.-3, pp. 413-418.
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Theoreme general concernant l'integration definie (1848) Liouville's Journal de
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Further Observations on the Theory of Probabilities (1851) Philosophical Magazine, Vol.
2, No. 4, pp. 96-101.
An Account of the late John Walsh of Cork (1851) In a letter from Professor Boole to
Professor de Morgan. Philosophical Magazine, Vol. 2, No. 4, pp. 348-358.
On Reciprocal Methods in the Differential Calculus (1852) Cambridge and Dublin
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7, No. 4, pp. 29-32.
Reply to some Observations published by Mr. Wilbraham in the Philosophical Magazine,
Vol. vii, p. 465, on the Theory of Chances developed in Professor Boole's Laws of
Thought (1854) Philosophical Magazine, Vol. 8, No. 4, pp. 87-91.
On the Conditions by which the Solutions of Questions in the Theory of Probabilities are
limited (1854) Philosophical Magazine, Vol. 8, No. 4, pp. 91-98.
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Cuvierian Society, Cork.
On certain Propositions in Algebra connected with the Theory of Probabilities (1855)
Philosophical Magazine, Vol. 9, No. 4, pp. 165-179.
On the Solution of the Equation of Continuity of an Incompressible Fluid (1856) Letter
to Rev. Charles Graves, May 5th, 1856. Proceedings of the Royal Irish Academy, Vol. 6,
pp. 375-386.
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Integrals (1857) Philosophical Transactions of the Royal Society, Vol. 147, pp. 745-804.
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Report of the British Association for the Advancement of Science, Dublin, Part 2, p. 2.
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Advancement of Science, Dublin, Part 2, p. 2.
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Testimonies or Judgements (1857) Transactions of the Royal Society of Edinburgh, Vol.
21, pp. 597-653.
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Majesty's Commissioners, H.M. Government, Dublin, pp. 327-328.
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exceeds by more than one the number of the equations (1862) Philosophical
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Advancement of Science, Cambridge, Part 2, p. 3.
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361-365.
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partielles du second ordre (1862) Bulletin de l'Academie Imperiale des Sciences de St.
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Ueber die partielle Differentialgleichung zweiter Ornung Rr+Ss+Tt+U (S2 -rt) = V (1863)
Crelle's Journal der Mathematik, Vol. 61, pp. 309-333. (Translated into English, with additional remarks, as Chapter XXIX in A Treatise on Differential Equations: Supplementary Volume (1865) Edited by Isaac Todhunter. Macmillan, Cambridge.)
On the Theory of Probabilities (1863) Philosophical Magazine, Vol. 25, No. 4, pp. 313-317.
On the Differential Equations which determine the form of the Roots of Algebraic
Equations (1864) Proceedings of the Royal Society, Vol. 13, pp. 245-246.
On the Differential Equations which determine the form of the Roots of an Algebraic
Equation (1864) Philosophical Transactions of the Royal Society, Vol. 154, pp. 733-755.
A Treatise on Differential Equations: Supplementary Volume (1865) Edited by Isaac
Todhunter. Macmillan, Cambridge.
Of Propositions numerically Definite (1871) Published posthumously, written about 1850. Transactions of the Cambridge Philosophical Society, Vol. 11, pp. 396-411.
Boole's Collected Logical Works, Volume II (1916) Edited by P.E.B. Jourdain. Open Court, Chicago and London. (Volume I, which was meant to contain a full-length biography of Boole, never appeared.)
Mary Everest Boole: Collected Works (1931) Edited by E.M. Cob ham, 4 Volumes, C.W.
Daniel, Essex. These volumes contain poems by George Boole: The Fellowship of the
Dead; Three Aspects of Nature; Ten Years Later; To the Number Three; The Lord sitteth
above the Water-Flood and the Lord remaineth a King forever; The Communion of Saints;
Ode to Truth; The Council of Constance.
Studies in Logic and Probability by George Boole (1952) Edited by Rush Rhees. Watts and
Co., London. This contains: Sketch of a Theory and Method of Probabilities founded upon the Calculus of Logic. Written between 1848 and 1854. Pp.141-166; Logic and Reasoning. Title postulated by Rush Rhees (Editor). pp. 211-229; On the Mathematical Theory of Logic and on the Philosophical Interpretation of its Methods and Processes (extracts).
Written in 1855 or 1856. pp. 230-246. These three papers are based on previously
unpublished manuscripts by Boole, held in the Library of the Royal Society, London.
The Boole - De Morgan Correspondence, 1842-1864 (1982) Edited by G.C. Smith.
Clarendon Press, Oxford.
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