Dr Fiacre Ó Cairbre

    Mathematics and Statistics

    Associate Professor

    Logic House
    211
    (01) 708 3763

    Biography

    Ph.D in Mathematics from Berkeley.

    Book

    Year Publication
    2006 Fiacre Ó Cairbre, John McKeon and Richard Watson (2006) A Resource for Transition Year Mathematics Teachers. : Department of Education and Science.
    1992 Fiacre Ó Cairbre (1992) Differential Calculus and Integral Calculus. : Department of Mathematics, Maynooth.

    Peer Reviewed Journal

    Year Publication
    2014 Fiacre O'Cairbre (2014) 'Mathematics education and the public's interaction with the Hamilton story'. IRISH MATHEMATICAL SOCIETY BULLETIN, 73 . [Full-Text]
    2010 Fiacre O'Cairbre (2010) 'Twenty Years of the Hamilton Walk'. IRISH MATHEMATICAL SOCIETY BULLETIN, 65 . [Full-Text]
    2008 Solmaz, S; Shorten, R; Wulff, K; Cairbre, FO (2008) 'A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control'. Automatica, 44 :2358-2363. [DOI] [Full-Text]
    2006 R. Shorten, F. Ó Cairbre and P. Curran (2006) 'On the dynamic instability of a class of switching systems'. International Journal of Control, 79 :630-635.
    2004 T. Laffey, R. Shorten and F O'Cairbre (2004) 'On the stability of convex sums of rank-1 perturbed matrices'. Mathematical Proceedings of the Royal Irish Academy, 104A :99-105. [Full-Text]
    2004 Shorten, R. N.; Mason, O; O'Cairbre, F; Curran, P (2004) 'A unifying framework for the SISO circle criterion and other quadratic stability criteria'. International Journal of Control, 77 :1-8. [DOI] [Full-Text]
    2002 Shorten, R; Cairbre, FO (2002) 'A new methodology for the stability analysis of pairwise triangularizable and related switching systems'. IMA Journal of Applied Mathematics, 67 :441-457.
    2001 McGuire G.; O'Cairbre F. (2001) 'A bridge over a Hamiltonian path'. Mathematical Intelligencer, 23 (3):41-43. [Full-Text]
    2001 R. Shorten and F. Ó Cairbre (2001) 'A proof of global attractivity for a class of switching systems using a non-quadratic Lyapunov approach'. IMA Journal of Mathematical Control and Information, 18 :341-353. [Full-Text]
    2000 Fiacre Ó Cairbre (2000) 'William Rowan Hamilton (1805-1865): Ireland's greatest mathematician'. RÍOCHT NA MIDHE, 11 :124-150. [Full-Text]
    2000 K. McGuigan, E. McGlynn, F. Ó Cairbre, J. Love and M. Henry. (2000) 'Piezo-spectroscopic induced perturbations for defects in cubic crystals under uniaxial stress applied along arbitrary low-symmetry crystal directions'. Journal of Physics Condensed Matter, 12 :7055-7068. [Full-Text]
    1997 O'Cairbre, F; Maggio, GM; Kennedy, MP (1997) 'Devaney chaos in an approximate one-dimensional model of the Colpitts oscillator'. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 7 :2561-2568.
    1995 F. O'Cairbre, A.G. O'Farrell, and A.O'Reilly (1995) 'Bistability, bifurcation and chaos in a laser system'. International Journal of Bifurcation and Chaos, 5 :1021-1031. [Full-Text]
    1993 F. Ó Cairbre (1993) 'Full multiplicity ergodic actions of compact groups on von Neumann algebras'. Journal of Operator Theory, 29 :69-81.

    Conference Publication

    Year Publication
    2016 Fiacre Ó Cairbre (2016) Proceedings of the 23rd International Conference of Adults Learning Maths Ten reasons why adults should know the history of number when learning mathematics
    2014 Fiacre O'Cairbre (2014) Proceedings of the 21st international conference of adults learning mathematics (ALM) The Hamilton walk and its postive impact on adults learning mathematics outside the classroom Bern,
    2011 Fiacre Ó Cairbre (2011) Proceedings of the 18th international conference of adults learning mathematics (ALM), IT Tallaght The positive impact of storytelling in mathematics for adults
    2011 Stacy Carter, Fiacre Ó Cairbre (2011) Proceedings of the fourth conference on research in mathematics education (MEI4), St. Patrick's College, Drumcondra A study of the benefits of using the history of mathematics in transition year [Full-Text]
    2009 Ó Cairbre, Fiacre (2009) Proceedings of Third National Conference on Research in Mathematics Education MEI 3 The power of the short story and the big picture in mathematics education in schools, universities and for the general public
    2007 Solmaz S.; Shorten R.; Cairbre F. (2007) Proceedings of the American Control Conference A global attractivity result for a class of switching discrete-time systems [DOI] [Full-Text]
    2003 O. Mason, R. Shorten and F. Ó Cairbre (2003) Proceedings European Control Conference A unifying framework for the circle criterion and other quadratic stability [Full-Text]
    2002 T. Laffey, R. Shorten and F. Ó Cairbre (2002) Proceedings of the American Control Conference On the stability of convex sums of rank-1 perturbed matrices [Full-Text]
    2001 Shorten R.; Cairbre F. (2001) Proceedings of the American Control Conference On the stability of pairwise triangularisable and related switching systems [Full-Text]
    2001 R. Shorten and F. Ó Cairbre (2001) Proceedings of the Irish Signals and Systems Conference Almost triangularisable switching systems: Pairwise triangularisability and close relatives
    2000 R. Shorten, F. Ó Cairbre and P.Curran (2000) Proceedings of the International Federation of Automatic Control Symposium On the dynamic instability of a class of switching systems
    2000 R. Shorten and F. Ó Cairbre (2000) Proceedings of the American Control Conference On the global attractivity of a class of switching systems
    1998 M. P. Kennedy, F. Ó Cairbre, D. Gillespie, P. Kiersey, L. Valsecchi and (1998) Proceedings of the Irish Signals and Systems Conference On the use of the LEMMA method for characterising nonlinearities in resistive ladder DAC's
    1980 P. Lynch, J. Brady, F. Ó Cairbre (1980) Institution of Engineers of Ireland Conference, Kilkenny Development and Energy

    Article

    Year Publication
    2003 Fiacre Ó Cairbre (2003) Articles on George Boole and Francis Edgeworth. [Article]

    Book Review

    Year Publication
    2012 Fiacre Ó Cairbre (2012) Magical Mathematics, by Persi Diaconis and Ron Graham and published by Princeton University Press. [Book Review]
    2003 Fiacre Ó Cairbre (2003) Book review of St. Peter's Church: A quasi history. [Book Review]
    2001 Fiacre Ó Cairbre (2001) Book review of The streets and Lanes of Drogheda (second edition), by James Garry. [Book Review]
    2001 Fiacre Ó Cairbre (2001) Creators of Mathematics: The Irish Connection, edited by Ken Houston and published by UCD Press. [Book Review]
    2000 Fiacre Ó Cairbre (2000) Book review of The Cord Cemetery: history and tombstone inscriptions, by James Garry. [Book Review]

    Magazine Article

    Year Publication
    2015 Fiacre O'Cairbre (2015) William Rowan Hamilton - Ireland's Liberator of Algebra. [Magazine Article] [Full-Text]

    Newsletter

    Year Publication
    2019 Fiacre Ó Cairbre (2019) The History of Mathematics, alive, alive-O. [Newsletter]
    2017 Fiacre Ó Cairbre (2017) Unsolved problems in mathematics and their educational value. [Newsletter]
    2013 Fiacre Ó Cairbre (2013) Freedom in mathematics and its educational value. [Newsletter] [Full-Text]
    2012 Fiacre Ó Cairbre (2012) The story of number. [Newsletter]
    2011 Fiacre Ó Cairbre (2011) The Hamilton walk. [Newsletter]
    2009 Ó Cairbre, Fiacre (2009) The Importance of being Beautiful in Mathematics. [Newsletter] [Full-Text]
    2006 Ó Cairbre, Fiacre (2006) William Rowan Hamilton and the Quaternion walk. [Newsletter]
    2005 Fiacre Ó Cairbre (2005) William Rowan Hamilton (1805-1865): Ireland's greatest mathematician. [Newsletter] [Full-Text]
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