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David Attis: Mathematics and the Making of Modern Ireland, Trinity College Dublin from Cromwell to the Celtic Tiger, Docent Press, 2014
Irish Math. Soc. Bulletin Number 76, Winter 2015, 87{90 ISSN 0791-5578 David Attis: Mathematics and the Making of Modern Ireland, Trinity College Dublin from Cromwell to the Celtic Tiger, Docent Press, 2014. ISBN:9780988744981, USD 17.99, 484 pp. REVIEWED BY DAVID SPEARMAN Mathematics in Trinity College Dublin has been a core discipline and area of activity since the college's foundation at the end of the sixteenth century up to the present day. Its history is well docu- mented and has been a subject of interest to historians of science; it forms the central strand of this book. Mathematics is interpreted in a broad sense, reflecting the historical grouping in Trinity of the chairs of mathematics and of natural philosophy. And, despite the book's title, Irish non-Trinity scientists such as Boyle, Kelvin, Stokes, Larmor and Boole are included in the narrative. The au- thor's interest in Irish mathematics reaches back for over twenty years. As an undergraduate in Chicago his enthusiasm for physics was channelled towards history of science which led him to Cam- bridge and then to Princeton and a doctoral thesis which formed the basis from which this book has developed. Over the years he has made many visits to Ireland where he has consulted widely and studied source material. It is important that the material and infor- mation that he has gleaned and a listing of the references from which he has drawn, together with his own commentary and assessment, should be made easily available as it now is with the publication of this book. -
From Arthur Cayley Via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and Superstrings to Cantorian Space–Time
Available online at www.sciencedirect.com Chaos, Solitons and Fractals 37 (2008) 1279–1288 www.elsevier.com/locate/chaos From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time L. Marek-Crnjac Institute of Mathematics, Physics and Mechanics, Jadranska ulica 19, P.O. Box 2964, SI-1001 Ljubljana, Slovenia Abstract In this work we present a historical overview of mathematical discoveries which lead to fundamental developments in super string theory, super gravity and finally to E-infinity Cantorian space–time theory. Cantorian space–time is a hierarchical fractal-like semi manifold with formally infinity many dimensions but a finite expectation number for these dimensions. The idea of hierarchy and self-similarity in science was first entertain by Right in the 18th century, later on the idea was repeated by Swedenborg and Charlier. Interestingly, the work of Mohamed El Naschie and his two contra parts Ord and Nottale was done independently without any knowledge of the above starting from non- linear dynamics and fractals. Ó 2008 Published by Elsevier Ltd. 1. Introduction Many of the profound mathematical discovery and dare I say also inventions which were made by the mathemati- cians Arthur Cayley, Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan and Emmy Noether [1] are extremely important for high energy particles in general [2] as well as in the development of E-infinity, Cantorian space–time the- ory [3,4]. The present paper is dedicated to the historical background of this subject. 2. Arthur Cayley – beginner of the group theory in the modern way Arthur Cayley was a great British mathematician. -
LMS – EPSRC Durham Symposium
LMS – EPSRC Durham Symposium Anthony Byrne Grants and Membership Administrator 12th July 2016, Durham The work of the LMS for mathematics The charitable aims of the Society: Funding the advancement of mathematical knowledge Encouraging mathematical research and collaboration ’, George Legendre Celebrating mathematical 30 Pieces achievements Publishing and disseminating mathematical knowledge Advancing and promoting mathematics The attendees of the Young Researchers in Mathematics Conference 2015, held at Oxford Historical Moments of the London Mathematical Society 1865 Foundation of LMS at University College London George Campbell De Morgan organised the first meeting, and his father, Augustus De Morgan became the 1st President 1865 First minute book list of the 27 original members 1866 LMS moves to Old Burlington House, Piccadilly J.J. Sylvester, 2nd President of the Society. 1866 Julius Plûcker Thomas Hirst Plûcker Collection of boxwood models of quartic surfaces given to Thomas Archer Hirst, Vice- President of LMS, and donated to the Society 1870 Move to Asiatic Society, 22 Albemarle Street William Spottiswoode, President 1874 Donation of £1,000 from John William Strutt (Lord Rayleigh) Generous donation enabled the Society to publish volumes of the Proceedings of the London Mathematical Society. J.W. Strutt (Lord Rayleigh), LMS President 1876-78 1881 First women members Charlotte Angas Scott and Christine Ladd 1884 First De Morgan medal awarded to Arthur Cayley 1885 Sophie Bryant First woman to have a paper published in LMS Proceedings 1916 Return to Burlington House the home of LMS until 1998 1937 ACE ’s Automatic Turing LMS Proceedings, 1937 Computing Engine, published Alan Turing’s first paper 1950 On Computable Numbers 1947 Death of G.H. -
Provosts Template
TAble oF ConTenTs Table of illustrations ix Foreword xi Preface xv Acknowledgements xix ChAPTer 1 Adam loftus 1 ChAPTer 2 Walter Travers 15 ChAPTer 3 henry Alvey 28 ChAPTer 4 William Temple 32 ChAPTer 5 William bedell 41 ChAPTer 6 robert ussher 61 ChAPTer 7 William Chappell 67 ChAPTer 8 richard Washington 76 ChAPTer 9 Faithful Teate 78 ChAPTer 10 Anthony Martin 82 ChAPTer 11 samuel Winter 86 ChAPTer 12 Thomas seele 101 ChAPTer 1 3 Michael Ward 108 ChAPTer 14 narcissus Marsh 112 ChAPTer 15 robert huntington 127 ChAPTer 16 st george Ashe 140 ChAPTer 17 george browne 148 ChAPTer 18 Peter browne 152 ChAPTer 19 benjamin Pratt 159 ChAPTer 20 richard baldwin 168 ChAPTer 21 Francis Andrews 185 ChAPTer 22 John hely-hutchinson 198 ChAPTer 2 3 richard Murray 217 ChAPTer 24 John Kearney 225 ChAPTer 25 george hall 229 ChAPTer 26 Thomas elrington 236 ChAPTer 27 samuel Kyle 247 ChAPTer 28 bartholomew lloyd 259 ChAPTer 29 Franc sadleir 275 ChAPTer 30 richard MacDonnell 290 ChAPTer 31 humphrey lloyd 309 ChAPTer 32 John hewitt Jellett 324 ChAPTer 33 george salmon 334 ChAPTer 34 Anthony Traill 371 ChAPTer 35 John Pentland Mahaffy 404 ChAPTer 36 John henry bernard 450 references 493 bibliography PublisheD WorKs 535 books 535 edited books 542 sections of books 543 Journals and Periodicals 544 Dictionaries, encyclopedias and reference Works 549 Pamphlets and short Works 550 histories of the College 550 newspapers 551 other Works 551 unPublisheD WorKs 553 index 555 viii TAble oF illusTrATions The illustrations are portraits, unless otherwise described. With the exception of the portrait of bedell, all the portraits of the Provosts are reproduced from those in the collection of the College by kind permission of the board of Trinity College Dublin. -
Arthur Cayley English Version
ARTHUR CAYLEY (August 16, 1821 – January 26, 1895) by HEINZ KLAUS STRICK, Germany Born in Richmond (Surrey), ARTHUR CAYLEY, the son of the English merchant HENRY CAYLEY, initially grew up in St Petersburg, Russia. When the family returned to England, he attended King's College in London. He entered Trinity College, Cambridge University at 17, graduated in mathematics at the age of 21 (as senior wrangler) and won the Smith's Prize, an award for students who have shown exceptional performance throughout their studies. During his studies, he published three articles in the Cambridge Mathematical Journal. In the two years after the bachelor's degree, during which he supervised new students as a tutor, there were another 28 contributions. After passing his master's degree, he decided to become a lawyer in order to earn a better living. In the following five years he worked for a well-known London notary before he was admitted to the bar in 1849. During this time he met JAMES JOSEPH SYLVESTER, who had the same interests as him. The two became friends; their conversations were always and almost exclusively about mathematical topics. CAYLEY worked as a lawyer for 14 years – and published over 250 scientific papers during this time, before he was appointed to the SADLEIRian Chair, a chair for pure mathematics at the University of Cambridge, in 1863. Although he now had only a fraction of the income he previously had as a lawyer, he was happy with the work he was able to do until his death in 1895. In total, he published 967 articles that dealt with topics from all current research areas of mathematics, and including one textbook (on JACOBI's elliptical functions). -
Remni Mar 08
March 08, 2019 remembrance ni In the newspapers - March 8 Page !1 March 08, 2019 Whilst British Commanders on the Western Front were considering where the initial attacks of the Kaiserschlacht would take place, the Daily Mirror of this date 101 years ago published this prophetic article. 8th March 1915 Belfast Newsletter THE ULSTER DIVISION. Two Additional Chaplains. Two additional appointments to chaplaincies in the Ulster Division have been made, Rev. R. Ussher Greer (Banbridge) and Rev. W. J. Robinson (Skibbereen) having accepted posts as Church of Ireland and Wesleyan chaplain respectively. The chaplains attached to the division now number six. They have given up their ministerial charges, and will accompany the division on active service, in the meantime doing duty in the various camps to which they are allotted. Three belong to the Church of Ireland—Rev. Canon King (Limavady), Rev. C. C. Manning (Comber), and Rev. R. Ussher Greer (Banbridge) ; two to the Presbyterian Church —Rev. D. K. Mitchell (Broughshane) and Rev. J. L. Jackson Wright (Ballyshannon), and one to the Wesleyan Church (Rev. W. G. Robinson). Rev. R. Ussher Greer, the newly-appointed chaplain, is one of the best known clergymen in the diocese of Down. He was formerly rector of St. Michael's, Belfast, subsequently of Christ Church, Lisburn, and in 1911, on the Page !2 March 08, 2019 removal of Canon Grierson to the Deanery of Belfast, was appointed rector of Seapatrick, Banbridge. Rev. W. J. Robinson is a son of Mr. James Robinson, 88, North Parade, and is married to a Belfast lady. He was formerly minister at Sydenham, and has had considerable experience at military life as Wesleyan chaplain at the Curragh. -
The Historic Episcopate
THE HISTORIC EPISCOPATE By ROBERT ELLIS THOMPSON, M.A., S.T. D., LL.D. of THE PRESBYTERY of PHILADELPHIA PHILADELPHIA tEfce Wtstminmx pre** 1910 "3^70 Copyright, 1910, by The Trustees of The Presbyterian Board of Publication and Sabbath School Work Published May, 1910 <§;G!.A265282 IN ACCORDANCE WITH ACADEMIC USAGE THIS BOOK IS DEDICATED TO THE PRESIDENT, FACULTY AND TRUSTEES OF MUHLENBERG COLLEGE IN GRATEFUL RECOGNITION OF HONORS CONFERRED PREFACE The subject of this book has engaged its author's attention at intervals for nearly half a century. The present time seems propitious for publishing it, in the hope of an irenic rather than a polemic effect. Our Lord seems to be pressing on the minds of his people the duty of reconciliation with each other as brethren, and to be bringing about a harmony of feeling and of action, which is beyond our hopes. He is beating down high pretensions and sectarian prejudices, which have stood in the way of Christian reunion. It is in the belief that the claims made for what is called "the Historic Episcopate" have been, as Dr. Liddon admits, a chief obstacle to Christian unity, that I have undertaken to present the results of a long study of its history, in the hope that this will promote, not dissension, but harmony. If in any place I have spoken in what seems a polemic tone, let this be set down to the stress of discussion, and not to any lack of charity or respect for what was for centuries the church of my fathers, as it still is that of most of my kindred. -
Elizabeth F. Lewis Phd Thesis
PETER GUTHRIE TAIT NEW INSIGHTS INTO ASPECTS OF HIS LIFE AND WORK; AND ASSOCIATED TOPICS IN THE HISTORY OF MATHEMATICS Elizabeth Faith Lewis A Thesis Submitted for the Degree of PhD at the University of St Andrews 2015 Full metadata for this item is available in St Andrews Research Repository at: http://research-repository.st-andrews.ac.uk/ Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/6330 This item is protected by original copyright PETER GUTHRIE TAIT NEW INSIGHTS INTO ASPECTS OF HIS LIFE AND WORK; AND ASSOCIATED TOPICS IN THE HISTORY OF MATHEMATICS ELIZABETH FAITH LEWIS This thesis is submitted in partial fulfilment for the degree of Ph.D. at the University of St Andrews. 2014 1. Candidate's declarations: I, Elizabeth Faith Lewis, hereby certify that this thesis, which is approximately 59,000 words in length, has been written by me, and that it is the record of work carried out by me, or principally by myself in collaboration with others as acknowledged, and that it has not been submitted in any previous application for a higher degree. I was admitted as a research student in September 2010 and as a candidate for the degree of Ph.D. in September 2010; the higher study for which this is a record was carried out in the University of St Andrews between 2010 and 2014. Signature of candidate ...................................... Date .................... 2. Supervisor's declaration: I hereby certify that the candidate has fulfilled the conditions of the Resolution and Regulations appropriate for the degree of Ph.D. -
Math Horizons Math Horizons
"Searching for the 'true tree' for twenty species is like trying to find a needle in very large haystack. Yet biologists are now routinely attempting to build trees with hundreds and sometimes thousands of species." Mathematical Aspects of the'Tree of Life' Charles Semple and Mike Steel University of Canterbury, New Zealand rees have long been used for illustrating certain phe- nomena in nature. They describe the structure of braid- Ted rivers, classify acyclic hydrocarbons in chemistry, and model the growth of cell division in physiology. In evolu- tionary biology, trees describe how species evolved from a common ancestor. Evolutionary trees date back (at least) to Charles Darwin, who made an early sketch of one in a note- book from 1837, more than 20 years before his Origin of Species. In Darwin's day, the main evidence available for reconstructing such trees, apart from some fossils, was mor- phology and physiology- the physical details of different species (does an animal have wings or not, how many petals does a plant have, and so forth). As Darwin wrote in 1872: We possess no pedigrees or amorial bearings; and we have to discover and trace the many diverging lines of descent in our natural genealogies, by characters ofany kind which have long been inherited. A phylogenetic (evolutionary) tree of 42 representative mammals The problem with morphological and fossil data is that they reconstructed using a Bayesian approach by concatenating 12 pro- are patchy, and can be misleading. Also the evolution of mor- tein coding mitochondrial genes. The main mammalian groups are phological characters is often compleX: tind difficult to model. -
The Legacy of Felix Klein
The Legacy of Thematic Afternoon Felix Klein The Legacy of Felix Klein The Legacy of The legacy of Felix Klein Felix Klein First Hour: Panel (15.00–16.00 h) 1. Introduction: What is and what could be the legacy of Felix Klein? Hans-Georg Weigand (Würzburg, GER) 2. Felix Klein - Biographical Notes Renate Tobies (Jena, GER): 3. Introduction to the Two Hour Session (16.30–18.30 h): • Strand A: Functional thinking Bill McCallum (Arizona, USA). • Strand B: Intuitive thinking and visualization Michael Neubrand (Oldenburg, GER). • Strand C: Elementary Mathematics from a higher standpoint Marta Menghini (Rome, IT) & Gert Schubring (Bielefeld, GER). 1 The Legacy of The legacy of Felix Klein Felix Klein First Hour: Panel (15.00–16.00 h) 1. Introduction: What is and what could be the legacy of Felix Klein? Hans-Georg Weigand (Würzburg, GER) 2. Felix Klein - Biographical Notes Renate Tobies (Jena, GER): 3. Introduction to the Two Hour Session (16.30–18.30 h): • Strand A: Functional thinking Bill McCallum (Arizona, USA). • Strand B: Intuitive thinking and visualization Michael Neubrand (Oldenburg, GER). • Strand C: Elementary Mathematics from a higher standpoint Marta Menghini (Rome, IT) & Gert Schubring (Bielefeld, GER). The Legacy of The legacy of Felix Klein Felix Klein First Hour: Panel (15.00–16.00 h) 1. Introduction: What is and what could be the legacy of Felix Klein? Hans-Georg Weigand (Würzburg, GER) 2. Felix Klein - Biographical Notes Renate Tobies (Jena, GER): 3. Introduction to the Two Hour Session (16.30–18.30 h): • Strand A: Functional thinking Bill McCallum (Arizona, USA). -
Full History of The
London Mathematical Society Historical Overview Taken from the Introduction to The Book of Presidents 1865-1965 ADRIAN RICE The London Mathematical Society (LMS) is the primary learned society for mathematics in Britain today. It was founded in 1865 for the promotion and extension of mathematical knowledge, and in the 140 years since its foundation this objective has remained unaltered. However, the ways in which it has been attained, and indeed the Society itself, have changed considerably during this time. In the beginning, there were just nine meetings per year, twenty-seven members and a handful of papers printed in the slim first volume of the ’s Society Proceedings. Today, with a worldwide membership in excess of two thousand, the LMS is responsible for numerous books, journals, monographs, lecture notes, and a whole range of meetings, conferences, lectures and symposia. The Society continues to uphold its original remit, but via an increasing variety of activities, ranging from advising the government on higher education, to providing financial support for a wide variety of mathematically-related pursuits. At the head of the Society there is, and always has been, a President, who is elected annually and who may serve up to two years consecutively. As befits a prestigious national organization, these Presidents have often been famous mathematicians, well known and respected by the mathematical community of their day; they include Cayley and Sylvester, Kelvin and Rayleigh, Hardy and Littlewood, Atiyah and Zeeman.1 But among the names on the presidential role of honour are many people who are perhaps not quite so famous today, ’t have theorems named after them, and who are largely forgotten by the majority of who don modern-day mathematicians. -
Arthur Cayley1
Chapter 5 ARTHUR CAYLEY1 (1821-1895) Arthur Cayley was born at Richmond in Surrey, England, on August 16, 1821. His father, Henry Cayley, was descended from an ancient Yorkshire family, but had settled in St. Petersburg, Russia, as a merchant. His mother was Maria Antonia Doughty, a daughter of William Doughty; who, according to some writers, was a Russian; but her father’s name indicates an English origin. Arthur spent the first eight years of his life in St. Petersburg. In 1829 his parents took up their permanent abode at Blackheath, near London; and Arthur was sent to a private school. He early showed great liking for, and aptitude in, numerical calculations. At the age of 14 he was sent to King’s College School, London; the master of which, having observed indications of mathematical genius, advised the father to educate his son, not for his own business, as he had at first intended, but to enter the University of Cambridge. At the unusually early age of 17 Cayley began residence at Trinity College, Cambridge. As an undergraduate he had generally the reputation of being a mere mathematician; his chief diversion was novel-reading. He was also fond of travelling and mountain climbing, and was a member of the Alpine Club. The cause of the Analytical Society had now triumphed, and the Cambridge Mathematical Journal had been instituted by Gregory and Leslie Ellis. To this journal, at the age of twenty, Cayley contributed three papers, on subjects which had been suggested by reading the M´ecanique analytique of Lagrange and some of the works of Laplace.