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Fiacre Ó Cairbre

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Dr Fiacre Ó Cairbre

Mathematics and Statistics

Associate Professor

Location Logic House

Room 211

Phone (01) 708 3763

Email fiacre.ocairbre@mu.ie

Biography
Publications

Biography

Biography

Ph.D in Mathematics from Berkeley.

Publications

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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