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James Whitbread Lee Glaisher

James Whitbread Lee Glaisher is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand James Whitbread Lee Glaisher rather than just read about it. In short: James Whitbread Lee Glaisher (5 November 1848, in Lewisham — 7 December 1928, in Cambridge) was a prominent English mathematician and astronomer. He is known for Glaisher's theorem, an important result in the field of integer partitions, and for the Glaisher–Kinkelin constant, a number important in both mathematics and physics.

James Whitbread Lee Glaisher — main illustration
James Whitbread Lee Glaisher — illustration

Key takeaways

  • James Whitbread Lee Glaisher belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect James Whitbread Lee Glaisher to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of James Whitbread Lee Glaisher from memory before moving on to harder problems.

Reference excerpt

James Whitbread Lee Glaisher (5 November 1848, in Lewisham — 7 December 1928, in Cambridge) was a prominent English mathematician and astronomer. He is known for Glaisher's theorem, an important result in the field of integer partitions, and for the Glaisher–Kinkelin constant, a number important in both mathematics and physics. He was a passionate collector of English ceramics and valentines, much of which he bequeathed to the Fitzwilliam Museum in Cambridge.

Life He was born in Lewisham in Kent on 5 November 1848 the son of the eminent astronomer James Glaisher and his wife, Cecilia Louisa Belville. His mother was a noted photographer. He was educated at St Paul's School from 1858. He became somewhat of a school celebrity in 1861 when he made two hot-air balloon ascents with his father to study the stratosphere. He won a Campden Exhibition Scholarship allowing him to study at Trinity College, Cambridge, where he was second wrangler in 1871 and was made a Fellow of the college. Influential in his time on teaching at the University of Cambridge, he is now remembered mostly for work in number theory that anticipated later interest in the detailed properties of modular forms. He published widely over other fields of mathematics. Glaisher was elected FRS in 1875. He was the editor-in-chief of Messenger of Mathematics. He was also the 'tutor' of the philosopher Ludwig Wittgenstein (tutor being a non-academic role in Cambridge University). He was president of the Royal Astronomical Society 1886–1888 and 1901–1903. When George Biddell Airy retired as Astronomer Royal in 1881 it is said that Glaisher was offered the post but declined. He lived in a set of rooms at Trinity College, and while there was elected to honorary membership of the Manchester Literary and Philosophical Society in 1892.He died there on 7 December 1928. He was a keen cyclist but preferred his penny-farthing to the newer "safety" bicycles. He was President of Cambridge University Cycling Club 1882 to 1885. He was a keen collector of English Delftware and other popular English pottery, much of it then below the notice of other collectors. The university indulged him by allowing him a room of the Fitzwilliam Museum to house his personal collection. He also amassed a collection of some 1,600 valentines, which he bequeathed to the museum.

Awards Honorary doctorate (DSc) from the University of Dublin in 1892 Honorary doctorate (DSc) from Manchester University in 1902 Winner of the London Mathematical Society's De Morgan Medal in 1908 Winner of the Royal Society's Sylvester Medal in 1913 Fellow of the Royal Society in 1875 at the young age of 27

Publications Glaisher published over 400 articles on various topics, including astronomy, special functions, and number theory, and was editor and contributor to both the Messenger of Mathematics and the Quarterly Journal of Mathematics.

References

External links

Works by or about James Whitbread Lee Glaisher at Wikisource O'Connor, John J.; Robertson, Edmund F., "James Whitbread Lee Glaisher", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

James Whitbread Lee Glaisher illustration

Worked examples

Example 1 — a first encounter with James Whitbread Lee Glaisher

Start with the simplest possible case. Write down what James Whitbread Lee Glaisher claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to James Whitbread Lee Glaisher before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about James Whitbread Lee Glaisher ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of James Whitbread Lee Glaisher

In research
James Whitbread Lee Glaisher appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses James Whitbread Lee Glaisher in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
James Whitbread Lee Glaisher is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1848 births, 1928 deaths, 19th-century English astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for James Whitbread Lee Glaisher outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study James Whitbread Lee Glaisher in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what James Whitbread Lee Glaisher means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain James Whitbread Lee Glaisher out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is James Whitbread Lee Glaisher in simple terms?

James Whitbread Lee Glaisher (5 November 1848, in Lewisham — 7 December 1928, in Cambridge) was a prominent English mathematician and astronomer. He is known for Glaisher's theorem, an important result in the field of integer partitions, and for the Glaisher–Kinkelin constant, a number important in…

Why does James Whitbread Lee Glaisher matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study James Whitbread Lee Glaisher?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on James Whitbread Lee Glaisher.

Tags

  • 1848 births
  • 1928 deaths
  • 19th-century English astronomers
  • 19th-century English mathematicians
  • 20th-century English astronomers
  • 20th-century English mathematicians
  • Alumni of Trinity College, Cambridge
  • British fellows of the Royal Society
  • De Morgan Medallists
  • Fellows of Trinity College, Cambridge
  • Glaisher family
  • Honorary Fellows of the Royal Society of Edinburgh

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