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Relevant bibliographies by topics / William Rowan Hamilton

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Academic literature on the topic 'William Rowan Hamilton'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "William Rowan Hamilton"

1

Haidar, Riad. "Sir William Rowan Hamilton." Photoniques, no. 63 (January 2013): 18–19. http://dx.doi.org/10.1051/photon/20136318.

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Mukunda, N. "Sir William Rowan Hamilton." Resonance 21, no. 6 (June 2016): 493–510. http://dx.doi.org/10.1007/s12045-016-0356-y.

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Wilkins, David R. "William Rowan Hamilton: mathematical genius." Physics World 18, no. 8 (August 2005): 33–36. http://dx.doi.org/10.1088/2058-7058/18/8/34.

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Tomalin, Marcus. "William Rowan Hamilton and the Poetry of Science." Articles, no. 54 (December 15, 2009): 0. http://dx.doi.org/10.7202/038763ar.

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AbstractThis article explores the scientific and literary work of William Rowan Hamilton (1805-1865). Hamilton was recognised as one of the finest scientists of his generation, and he made lasting contributions to the discipline that eventually became known as ‘physics’. In addition, though, he was fascinated by the relationship between mathematics and poetry. He wrote extensively about this subject, and, from 1827 onwards, he sustained a close friendship with Wordsworth who provided detailed critical analyses of Hamilton’s own poems. Influenced by these revealing exchanges, Hamilton identified poetical qualities in physical and mathematical treatises, and this article probes his views concerning these perceived interconnections with reference to other ‘Romantic’ scientists such as Humphry Davy. In particular, Hamilton’s striking claim that a text such as Joseph-Louis Lagrange’sMécanique Analytique(1788) can be viewed as ‘a kind of scientific poem’ is assessed.

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Simmons, Charlotte. "William Rowan Hamilton and George Boole." BSHM Bulletin: Journal of the British Society for the History of Mathematics 23, no. 2 (May 2008): 96–102. http://dx.doi.org/10.1080/17498430801968050.

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Oates, F. H. C., and Sean O'Donnell. "William Rowan Hamilton: Portrait of a Prodigy." Mathematical Gazette 72, no. 461 (October 1988): 252. http://dx.doi.org/10.2307/3618286.

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Sen, Siddhartha. "Why William Rowan Hamilton was not an FRS." Notes and Records of the Royal Society 59, no. 3 (August 31, 2005): 305–8. http://dx.doi.org/10.1098/rsnr.2005.0100.

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Sir William Rowan Hamilton was a highly respected mathematician and scientist with close connections to influential members of the Royal Society, but he was not an FRS. The article explored possible reason for this.

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Brown, Daniel. "William Rowan Hamilton and William Wordsworth: the Poetry of Science." Studies in Romanticism 51, no. 4 (2012): 475–501. http://dx.doi.org/10.1353/srm.2012.0000.

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Nakane, Michiyo. "The Mathematical Papers of Sir William Rowan Hamilton." Historia Mathematica 30, no. 4 (November 2003): 514–16. http://dx.doi.org/10.1016/j.hm.2003.07.004.

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Davidson, Michael W. "Pioneers in Optics: William Rowan Hamilton and John Kerr." Microscopy Today 20, no. 4 (July 2012): 50–52. http://dx.doi.org/10.1017/s1551929512000405.

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Considered a child prodigy, William Rowan Hamilton could read Hebrew, Latin, and Greek at the tender age of five and had undertaken the study of at least six other languages before his twelfth birthday. The native of Dublin, Ireland, lived with and was educated by an uncle who was an Anglican priest, because his father's legal career required him to spend much of his time in England. In his youth, Hamilton was introduced to Zerah Colburn, an American mathematical prodigy who exhibited his amazing calculating dexterity for entertainment. Competitive bouts of computations between the young men apparently inspired Hamilton to increase his knowledge of mathematics, and he embarked on a course of study that included the works of Euclid, Clairaut, Lloyd, Newton, Lagrange, and Laplace. By 1822, his mathematical abilities had advanced to such an extent that he discovered an important error in Laplace's treatise Celestial Mechanics, a feat that garnered him the attention of the Royal Astronomer of Ireland, John Brinkley, who he would shortly thereafter replace.

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Dissertations / Theses on the topic "William Rowan Hamilton"

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Montelpare, Luca. "Sir William Rowan Hamilton: il numero nella scienza del tempo puro." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amslaurea.unibo.it/2815/.

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Sinegre, Luc. "Au dela du temps pur : aspects geometriques, constructions. et pratiques dans l'oeuvre algebrique de sir william rowan hamilton (1805-1865)." Paris 7, 1994. http://www.theses.fr/1994PA070147.

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Je montre que l'oeuvre algebrique de hamlltion possede une cetterence interne : les textes et les pratiques algebriques renvoient a ses idees et a sa formation de physicien et de geometre, alors que ses partis prix sur le temps expliquent la presentation de ses idees mathematiques et la forme qu'il a choisie pour delaire le processus d'invention. La premeire partie est consacree a l'envention du systeme quaternionien et aux essais pour le construire algebriquement et bedmetriquement. Chab1: genealogie de la decouverte et reconstructions. Chap1 : presentations trigonometriques, purement albebriques geometriques. Y-a-t-il ezu un revirement symbolique en 1846? chap3 : les lectures, synthese des tentatives precedentes et une construction pmetaphysique. La seconde partie presente thematiquement differents objets albegriques de hamilton en relevant dans le temps les differences d'exposition, les retournements et les tentatives de gene ralisation. Chap4 : une pensee qui repose sur la notion de relation. L'exemple des triades, la science de l'ordre, lescouples et la mecanique, lelogramme complexe. Une grande partie des textes sont inedits (t c d). Chap 5 : la dualite et l'algebrisation de la geometrie et de la physique des annees trente. Chap6 : application des quaternions aux rotations - une comparaison avec cayley. Chap7 : les biquaternions, le probleme du symbolisme et la confrontation des quaternions a la geometrie imaginaire.

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Santos, Davi José dos. "A álgebra dos complexos/quatérnios/octônios e a construção de Cayley-Dickson." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/6596.

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Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2016-12-15T15:01:25Z No. of bitstreams: 2 Dissertação - Davi José dos Santos - 2016.pdf: 5567090 bytes, checksum: 5606aa47f640cc5cd4495d2694f38cda (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)
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This research with theoretical approach seeks to investigate inmathematics, octonions,which is a non-associative extension of the quaternions. Its algebra division 8-dimensional formed on the real numbers is more extensive than can be obtained by constructing Cayley-Dickson. In this perspective we have as main goal to answer the following question: "What number systems allow arithmetic operations addition, subtraction, multiplication and division? " In the genesis of octonions is the Irish mathematician William Rowan Hamilton, motivated by a deep belief that quaternions could revolutionize mathematics and physics, was the pioneer of a new theory that transformed the modern world. Today, it is confirmed that the complexs/quaternions/octonions and its applications are manifested in different branches of science such as mechanics, geometry, mathematical physics, with great relevance in 3D animation and robotics. In order to investigate the importance of this issue and make a small contribution, we make an introduction to the theme from the numbers complex and present the rationale and motivations of Hamilton in the discovery of quaternions/octonions. Wemake a presentation of the algebraic structure and its fundamental properties. Then discoremos about constructing Cayley-Dickson algebras that produces a sequence over the field of real numbers, each with twice the previous size. Algebras produced by this process are known as Cayley-Dickson algebras; since they are an extension of complex numbers, that is, hypercomplex numbers. All these concepts have norm, algebra and conjugate. The general idea is that the multiplication of an element and its conjugate should be the square of its norm. The surprise is that, in addition to larger, the following algebra loses some specific algebraic property. Finally, we describe and analyze certain symmetry groups with multiple representations through matrixes and applications to show that This content has a value in the evolution of technology.
Esta pesquisa com abordagem teórica busca investigar na matemática, os octônios, que é uma extensão não-associativa dos quatérnios. Sua álgebra com divisão formada de 8 dimensões sobre os números reais é a mais extensa que pode ser obtida através da construção de Cayley-Dickson. Nessa perspectiva temos comometa principal responder a seguinte questão: "Que sistemas numéricos permitemas operações aritméticas de adição, subtração, multiplicação e divisão?" Na gênese dos octônios está o matemático irlandêsWilliam Rowan Hamilton que, motivado por uma profunda convicção de que os quatérnios poderiam revolucionar a Matemática e a Física, foi o pioneiro de uma nova teoria que transformou o mundo moderno. Hoje, confirma-se que os complexos/quatérnios/octônios e suas aplicações se manifestam em diferentes ramos da ciências tais como a mecânica, a geometria, a física matemática, com grande relevância na animação 3D e na robótica. Com o propósito de investigar a importância deste tema e dar uma pequena contribuição, fazemos uma introdução ao tema desde os números complexos e apresentamos o raciocínio e motivações de Hamilton na descoberta dos quatérnios/octônios. Fazemos uma apresentação da estrutura algébrica, bem como as suas propriedades fundamentais. Emseguida discoremos sobre a construção de Cayley-Dickson que produz uma sequência de álgebras sobre o campo de números reais, cada uma com o dobro do tamanho anterior. Álgebras produzidas por este processo são conhecidas como álgebras Cayley-Dickson; uma vez que elas são uma extensão dos números complexos, isto é, os números hipercomplexos. Todos esses conceitos têm norma, álgebra e conjugado. A idéia geral é que o produto de um elemento e seu conjugado deve ser o quadrado de sua norma. A surpresa é que, além de maior dimensão, a álgebra seguinte perde alguma propriedade álgebrica específica. Por fim, descrevemos e analisamos alguns grupos de simetria, com várias representações através de matrizes e aplicações que demonstram que este conteúdo tem uma utilidade na evolução da tecnologia.

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Owens, Thomas A. R. "'The language of the heavens' : Wordsworth, Coleridge and astronomy." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:e2967508-a7fe-4558-82a2-9db41105d476.

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This thesis proposes that astronomical ideas and forces structured the poetic, religious and philosophical imaginings of William Wordsworth and Samuel Taylor Coleridge. Despite the widespread scholarly predilection for interdisciplinary enquiry in the field of literature and science, no study has been undertaken to assess the impact and imaginative value of mathematics and astronomy upon Wordsworth and Coleridge. Indeed, it is assumed they had neither the resources available to access this knowledge, nor the capacity to grasp it fully. This is not the case. I update the paradigm that limits their familiarity with the physical sciences to the education they received at school and at Cambridge, centred principally on Euclid and Newton, by revealing their attentiveness to the new world views promulgated by William Herschel, William Rowan Hamilton, Pierre-Simon Laplace, and the mathematicians of Trinity College, Cambridge, including John Herschel, George Peacock, and George Biddell Airy, amongst others. The language of astronomy wielded a vital, analogical power for Wordsworth and Coleridge; it conditioned the diurnal rhythms of their thought as its governing dynamic. Critical processes were activated, at the level of form and content, with a mixture of cosmic metaphors and nineteenth-century discoveries (such as infra-red). Central models of Wordsworth’s and Coleridge’s literary and metaphysical inventions were indissociable from scientific counterparts upon which they mutually relied. These serve as touchstones for creative endeavour through which the mechanisms of their minds can be traced at work. Exploring the cosmological charge contained in the composition of their poems, and intricately patterned and pressed into their philosophical and spiritual creeds, stakes a return to the evidence of the Romantic imagination. The incorporation of astrophysical concepts into the moulds of Wordsworth’s and Coleridge’s constructions manifests an intelligent plurality and generosity which reveals the scientific valency of their convictions about, variously, the circumvolutions of memory and the idea of psychic return; textual revision, specifically the ways in which language risks becoming outmoded; prosody, balance, and the minute strictures modifying metrical weight; volubility as an axis of conversation and cognition; polarity as the reconciling tool of the imagination; and the perichoretic doctrine of the Holy Trinity. The ultimate purpose is to show that astronomy provided Wordsworth and Coleridge with a scaffold for thinking, an intellectual orrery which ordered artistic consciousness and which they never abandoned.

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Lewis, Elizabeth Faith. "Peter Guthrie Tait : new insights into aspects of his life and work : and associated topics in the history of mathematics." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/6330.

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In this thesis I present new insights into aspects of Peter Guthrie Tait's life and work, derived principally from largely-unexplored primary source material: Tait's scrapbook, the Tait–Maxwell school-book and Tait's pocket notebook. By way of associated historical insights, I also come to discuss the innovative and far-reaching mathematics of the elusive Frenchman, C.-V. Mourey. P. G. Tait (1831–1901) F.R.S.E., Professor of Mathematics at the Queen's College, Belfast (1854–1860) and of Natural Philosophy at the University of Edinburgh (1860–1901), was one of the leading physicists and mathematicians in Europe in the nineteenth century. His expertise encompassed the breadth of physical science and mathematics. However, since the nineteenth century he has been unfortunately overlooked—overshadowed, perhaps, by the brilliance of his personal friends, James Clerk Maxwell (1831–1879), Sir William Rowan Hamilton (1805–1865) and William Thomson (1824–1907), later Lord Kelvin. Here I present the results of extensive research into the Tait family history. I explore the spiritual aspect of Tait's life in connection with The Unseen Universe (1875) which Tait co-authored with Balfour Stewart (1828–1887). I also reveal Tait's surprising involvement in statistics and give an account of his introduction to complex numbers, as a schoolboy at the Edinburgh Academy. A highlight of the thesis is a re-evaluation of C.-V. Mourey's 1828 work, La Vraie Théorie des quantités négatives et des quantités prétendues imaginaires, which I consider from the perspective of algebraic reform. The thesis also contains: (i) a transcription of an unpublished paper by Hamilton on the fundamental theorem of algebra which was inspired by Mourey and (ii) new biographical information on Mourey.

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Books on the topic "William Rowan Hamilton"

1

McGovern, Iggy. A mystic dream of 4: A sonnet sequence based on the life of William Rowan Hamilton. Dublin, Ireland: Quaternia Press, 2013.

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Hancarville, Pierre d'. The collection of antiquities from the cabinet of Sir William Hamilton =: Collection des antiquités du cabinet de Sir William Hamilton = Die antikensammlung aus dem kabinett von Sir William Hamilton. Köln: Tashen, 2004.

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Hancarville, Pierre d'. The collection of antiquities from the cabinet of Sir William Hamilton. Edited by Petra Lamers-Schütze. Köln: Taschen, 2004.

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Hankins, Thomas L. Sir William Rowan Hamilton. The Johns Hopkins University Press, 2004.

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S, Ball Robert. Great Astronomers: William Rowan Hamilton: ( ANNOTATED ). Independently published, 2019.

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Hamilton, William Rowan. Mathematical Papers of Sir William Rowan Hamilton Volume IV. Cambridge University Press, 2001.

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various. A Collection Of Papers In Memory Of Sir William Rowan Hamilton. Kessinger Publishing, LLC, 2007.

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Perplexingly Easy: Selected Correspondence Between William Rowan Hamilton and Peter Guthrie Tait. Not Avail, 2005.

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Wilkins, David R. Perplexingly Easy: Selected Correspondence Between William Rowan Hamilton and Peter Guthrie Tait (FitzGerald Series). Not Avail, 2005.

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Book chapters on the topic "William Rowan Hamilton"

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Strick, Heinz Klaus. "William Rowan Hamilton – ein unglückliches Genie aus Irland." In Mathematik – einfach genial!, 337–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-60449-6_17.

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"Sir William Rowan Hamilton." In Coleridge the Talker, 231–35. Ithaca, NY: Cornell University Press, 2019. http://dx.doi.org/10.7591/9781501741067-042.

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"William Rowan Hamilton 1805–1865,." In Physicists of Ireland, 75–82. CRC Press, 2003. http://dx.doi.org/10.1201/9781420033175-11.

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"VI.37 William Rowan Hamilton." In The Princeton Companion to Mathematics, 765. Princeton University Press, 2010. http://dx.doi.org/10.1515/9781400830398.765a.

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Lanczos, C. "William Rowan Hamilton—An Appreciation." In Mathematics: People · Problems · Results, 134–44. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9781351074315-16.

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Wordsworth, William. "299. W. W. to William Rowan Hamilton." In The Letters of William and Dorothy Wordsworth, Vol. 4: The Later Years: Part I: 1821–1828 (Second Revised Edition), edited by Ernest De Selincourt and Alan G. Hill, 546–47. Oxford University Press, 2000. http://dx.doi.org/10.1093/oseo/instance.00083456.

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Wordsworth, William, and Dorothy Wordsworth. "412. W. W. to William Rowan Hamilton." In The Letters of William and Dorothy Wordsworth, Vol. 5: The Later Years: Part II: 1829–1834 (Second Revised Edition), 30–31. Oxford University Press, 2000. http://dx.doi.org/10.1093/oseo/instance.00083574.

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Wordsworth, William, and Dorothy Wordsworth. "444. W. W. to William Rowan Hamilton." In The Letters of William and Dorothy Wordsworth, Vol. 5: The Later Years: Part II: 1829–1834 (Second Revised Edition), 96–97. Oxford University Press, 2000. http://dx.doi.org/10.1093/oseo/instance.00083606.

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Wordsworth, William, and Dorothy Wordsworth. "448. W. W. to William Rowan Hamilton." In The Letters of William and Dorothy Wordsworth, Vol. 5: The Later Years: Part II: 1829–1834 (Second Revised Edition), 101. Oxford University Press, 2000. http://dx.doi.org/10.1093/oseo/instance.00083610.

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Wordsworth, William, and Dorothy Wordsworth. "453. W. W. to William Rowan Hamilton." In The Letters of William and Dorothy Wordsworth, Vol. 5: The Later Years: Part II: 1829–1834 (Second Revised Edition), 110. Oxford University Press, 2000. http://dx.doi.org/10.1093/oseo/instance.00083616.

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