Showing posts with label Edinburgh University. Show all posts
Showing posts with label Edinburgh University. Show all posts

Thursday, May 19, 2016

James Clerk Maxwell

James Clerk Maxwell (1831-1879) is comparable to Isaac Newton and Albert Einstein in terms of the importance of his work, but he is not as well known.  As well as being a mathematician and mathematical physicist he was a published poet, and his Christian faith was central to his life.  
It was in 1861 that he unified electricity, magnetism and light with his equations, so the 150th anniversary of this discovery was recently celebrated.  The year 2011 was quite a year of anniversaries in physics, from Boyle's publication of "Sceptical Chymist" to the discovery of superconductors to Rutherford's model of the atom and more!

I said earlier that Maxwell is comparable to Einstein and Newton.  I think this quote from a 2011 article in The Economist puts it well:

"Worthy intellectual accomplishments, all.  Yet they pale in comparison with Maxwell's.  This is not just because, unlike a lot of subsequent theoretical advances, his insight has already yielded a century's worth of tangible results, from radio to mobile phones.  (Only a century because it took scientists several decades before they had grasped the theory's full significance and put it into practice.) . . . . He showed that nature ought not to be taken at face value, and that she can be cajoled into revealing her hidden charms so long as the entreaties are whispered in mathematical verse.  In doing so he paved the way for the pursuit of physicists' holy grail: the grand unified theory, a set of equations which would explain all there is to know about physical reality. . . . Maxwell remains the great unsung hero of human progress . . . . His life's work, which also includes remarkable contributions to thermodynamics (not to mention taking the world's first colour photograph, also 150 years ago) is among the most enduring scientific legacies of all time, on a par with his more widely acclaimed peers, Isaac Newton and Albert Einstein.  It deserves to be trumpeted."

Maxwell was born at the house pictured above, at 14 India Street, Edinburgh, though not long after his birth his family moved to their home in Glenlair in the countryside of Scotland where his natural curiosity was soon apparent, and he always wanted to know how everything worked.  The family planned his education to be carried out by his mother until it was time for him to attend Edinburgh University.  Sadly, his mother died when he was 8 years old, and, after an unsuccessful attempt at having a tutor work with him at home, he was sent to the Edinburgh Academy.
Maxwell was 14 years old when he wrote his first mathematical paper, an exploration of the ellipse and of curves with more than two foci.  This work was read to the Royal Society of Edinburgh, though not by Maxwell, as he was considered too young to present his work. 

At age 18, while attending the University of Edinburgh, he wrote two further papers for the Transactions of Edinburgh's Royal Society, but he was still considered too young to read them, so they were read to the society by his tutor instead.
Main Campus, Edinburgh University

Though Maxwell had chosen to do his undergraduate work at Edinburgh University he did head to Cambridge for his graduate work and earned his degree in mathematics there.  In the famous tripos testing he earned the position of "second wrangler."  He is better known as a physicist or a mathematical physicist but his degree was in mathematics.
Looking down on Trinity from Great St. Mary's - Clock Tower, Chapel, Great Gate

While a student at Trinity he decided to examine his faith deeply.  He wrote:

"Now my great plan, which was conceived of old, . . . is to let nothing be wilfully left unexamined. Nothing is to be holy ground consecrated to Stationary Faith, whether positive or negative. All fallow land is to be ploughed up and a regular system of rotation followed. . . . Never hide anything, be it weed or no, nor seem to wish it hidden. . . . Again I assert the Right of Trespass on any plot of Holy Ground which any man has set apart. . . . Christianity — that is, the religion of the Bible — is the only scheme or form of belief which disavows any possessions on such a tenure. Here alone all is free. You may fly to the ends of the world and find no God but the Author of Salvation. You may search the Scriptures and not find a text to stop you in your explorations . . ."
Trinity Great Court
He was elected a fellow of Trinity - eventually also accepted a professorship in Marischal College in Aberdeen, Scotland - and later moved to London and became professor at King's College there.  His time in London was a very productive period of his life - perhaps the most productive.  
King's College London
He resigned his chair there in 1865 and returned to his Scottish family home with his wife, but in 1871 he accepted, somewhat reluctantly, an offer from Cambridge to be the first Cavendish Professor of Physics.  He was there in charge of developing the Cavendish Laboratory, overseeing every element of its construction and design.

The photographs below are of the "Maxwell Lecture Theatre" in the Old Cavendish (which currently belongs to the Sociology Department, and for a time until quite recently had been being used for storage; the fate of this historic hall is uncertain at this point.)





Maxwell died of cancer at the age of 48 in Cambridge.  He remained calm and firm in his faith through to the end.

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Edinburgh University has expanded over time, and in 1919 an area to the south of the town of Edinburgh was purchased for the relocation and expansion of its science departments.  One of the buildings here is named for Maxwell.  (You can see more about Edinburgh's Universities at this link.)


In his youth, while at the Edinburgh Academy, Maxwell had a bit of a rough start socially.  He was looked upon by some of the other students as a bit of a "country bumpkin" and because of that had the nickname "Dafty," which didn't seem to bother him.  Eventually he met two other boys who were close in age and intellect to him who remained lifelong friends.  One of these was the future mathematician Peter Guthrie Tait (1831-1901), who, along with Maxwell and Thompson (aka Lord Kelvin) pursued topology and knot theory for a time.  When I read the following poem I see a confluence of Maxwell's faith and his work - knots, divine intellect, higher dimensions and the soul.


My soul is an entangled knot,
Upon a liquid vortex wrought
By Intellect, in the Unseen residing,
And thine cloth like a convict sit,
With marlinspike untwisting it,
Only to find its knottiness abiding;
Since all the tools for its untying
In four-dimensional space are lying

Full poem can be found at this link.

Friday, April 1, 2016

Visiting Edinburgh's Universities


I began my day today with a colloquim at Edinburgh University, King's Buildings Campus, in the James Clerk Maxwell building.  While searching their site over the last few months I found this colloquium in a series titled GAMES: General Audience Maths Edinburgh Seminar.

Cool!  A math talk for a general audience!



I felt drawn to attend a talk at Edinburgh University since so many of the luminary mathematicians and mathematical physicists that I am studying spent time as professors here or as students here, so it just seemed cool to me to be there taking in a lecture.

The topic, which hadn't been announced until very recently, was "The Asymptotics of the Gamma Function Via Resurgence."

Yeah - bit of a stretch, that -

Here are a couple of slides from the talk, and I'll put the abstract at the bottom of this post for those who are interested.



Clearly when they advertise a presentation for a general audience it is quite different from what I mean when I give a presentation for a general audience!!

After the seminar I headed to Edinburgh Napier University, Merchiston Campus to see what remains of John Napier's castle home which the college is built around.


I'm including quite a number of pictures of Napier Tower, as for a long time this was the single thing that was bringing me to Edinburgh to seek out the history of mathematics - fascinating man, Napier, but more on him in another post.



from the back


detail of the top of the building - I love the door in the tower
Then I took another swing past Edinburgh University's main campus and also another past Edinburgh University's New College (which is on "The Mound" very close to Edinburgh Castle).

EU Main Campus

EU Main Campus

EU New College

EU New College

EU New College
OK, before posting the abstract of the talk I attended this morning I am going to post some of the flowers blooming on The King's Building campus - spring in Edinburgh.



Abstract: This talk will be about the divergent asymptotic expansion of the gamma function. The divergence of this asymptotic expansion is caused by the singularities of its Borel transform. We exploit these singularities to obtain explicit formulae for the coefficients and remainder term of the asymptotic expansion of the gamma function. These formulae then will be used to obtain realistic error bounds for the asymptotics of the gamma function. All related concepts will be explained during the talk.



Wednesday, March 30, 2016

Edinburgh

When first planning these mathematical travels I had only planned a couple of days for Edinburgh.  My interest was in John Napier, a very interesting character who also invented logarithms and is responsible for popularizing the use of the decimal point.  After seeing Merchiston Tower, which is all that remains of his castle in Edinburgh and is now part of Edinburgh Napier University, and after touring Lauriston Castle, home of his brother, I was going to be on my way to my myriad of mathematical stops in England.

However, as I began to look into Edinburgh I became aware of more and more mathematicians and mathematical physicists of note who were associated in some way with Edinburgh.  Along with Napier, these are:

Girolamo Cardano
Colin MacLaurin
John Playfair
Mary Somerville
William Thompson, Lord Kelvin
James Clerk Maxwell
Peter Guthrie Tait

and, currently, Sir Michael Atiyah, geometer and Fields Medal winner.

Clearly my Edinburgh sojourn needed to be extended, and I ended up reserving six days in Edinburgh rather than the two I had initially planned.  Even at that I need to focus on two or three and just touch on the others.  In this post I am sharing landmarks that all of these mathematicians would have been familiar with - that's not to say that some changes may not have been made to certain places such as Edinburgh Castle and Holyrood Palace between the time of Napier (b. 1550) and Atiyah (b. 1929).

EDINBURGH CASTLE




HOLYROOD PALACE




HOLYROOD PARK AND ARTHUR'S SEAT



St. Anthony's Chapel ruins in Holyrood Park - partway up to Arthur's Seat
Overlooking the city from near the top of Arthur's Seat
ST. GILES' CATHEDRAL



EDINBURGH UNIVERSITY

Main Campus

"New College" Campus - now a divinity school

"New College" Campus
"New College" Campus (with John Knox)
THE FIRTH OF FORTH

I haven't gotten close yet, but here it is from a bit below Arthur's Seat
CALTON HILL (with or without observatory and various monuments)

Observatory and Playfair Monument

Edinburgh - the Athens of the North

Viewing across Old Calton Burial Ground

Top left - looking over Holyrood Palace