ArticleslgStudy

mathematics

Philip Kelland

Philip Kelland 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 Philip Kelland rather than just read about it. In short: Philip Kelland PRSE FRS (17 October 1808 – 8 May 1879) was an English mathematician. He was known mainly for his great influence on the development of education in Scotland.

Philip Kelland — main illustration
Philip Kelland — illustration

Key takeaways

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

Reference excerpt

Philip Kelland PRSE FRS (17 October 1808 – 8 May 1879) was an English mathematician. He was known mainly for his great influence on the development of education in Scotland.

Life Kelland was born in 1808 the son of Philip Kelland (d.1847), curate in Dunster, Somerset, England. He was educated at Sherborne, and was an undergraduate at Queens' College, Cambridge, where he was tutored privately by English mathematician William Hopkins and graduated in 1834 as senior wrangler and first Smith's prizeman. He was ordained in the Church of England. From 1834 to 1838, he was a fellow of Queens' College, Cambridge. Kelland was elected Fellow of the Royal Society in 1838 and Fellow of the Royal Society of Edinburgh in 1839. He served as Secretary of the RSE 1843–4, Vice-president 1857–77 and President 1878–9. He won their Keith Medal for the period 1849–51. He lived his final years at 20 Clarendon Crescent in western Edinburgh. Kelland is buried in Warriston Cemetery in the north of the city.

Academic career Kelland was appointed Professor of Mathematics at the University of Edinburgh in 1838. He was a successor to Scottish mathematician William Wallace. He became the first English-born and wholly English-educated mathematician to hold that chair. Kelland joined with Scottish physicist James David Forbes in supporting reforms of the Scottish university system. He was an efficient education reformer. He won the respect of his colleagues, and was regarded highly as a mathematics instructor. He wrote on the reform of the Scottish universities.

Research Kelland's early research work, undertaken at the University of Cambridge, was influenced by mathematicians Joseph Fourier and Augustin Louis Cauchy. This research is described in his Theory of Heat (1837, 1842) and in some papers. However, this proved not to be based on sound principles. In all, 28 papers published by Kelland, mainly on heat, light and water waves, are listed in the Royal Society Catalogue of Scientific Papers. His theoretical work on water waves (1840, 1844), published in Transactions of the Royal Society of Edinburgh, tried to explain aspects of the important experiments of John Scott Russell, then being carried out near Edinburgh. Although this work was flawed in some respects, it anticipated some of the results later obtained by George Biddell Airy and George Gabriel Stokes. Kelland wrote analytical papers on General Differentiation in 1839, and Differential Equations in 1853. He gave a geometrical Theory of Parallels outlining a version of non-Euclidean geometry. He wrote mathematics books and edited works of mathematician John Playfair and polymath Thomas Young.

Family He married twice: firstly to "Miss Pilkington" secondly to Miss Boswall of Wardie.

See also Airy wave theory Dispersion (water waves)

References

Birse, Ronald M. (2004). "Kelland, Philip (1808–1879)". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/15284. Retrieved 8 May 2008. (Subscription, Wikipedia Library access or UK public library membership required.)

Illustrations

Philip Kelland illustration
Philip Kelland: Kelland's house at 20 Clarendon Crescent, Edinburgh (centre)
Kelland's house at 20 Clarendon Crescent, Edinburgh (centre)

Worked examples

Example 1 — a first encounter with Philip Kelland

Start with the simplest possible case. Write down what Philip Kelland 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 Philip Kelland 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 Philip Kelland 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 Philip Kelland

In research
Philip Kelland 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 Philip Kelland 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
Philip Kelland is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1808 births, 1879 deaths, 19th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Philip Kelland 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Philip Kelland” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Philip Kelland in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Philip Kelland 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 Philip Kelland out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Philip Kelland in simple terms?

Philip Kelland PRSE FRS (17 October 1808 – 8 May 1879) was an English mathematician. He was known mainly for his great influence on the development of education in Scotland.

Why does Philip Kelland 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 Philip Kelland?

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 Philip Kelland.

Tags

  • 1808 births
  • 1879 deaths
  • 19th-century English mathematicians
  • Academics of the University of Edinburgh
  • Alumni of Queens' College, Cambridge
  • British fellows of the Royal Society
  • Burials at Warriston Cemetery
  • Fellows of Queens' College, Cambridge
  • Fellows of the Royal Society of Edinburgh
  • People educated at Sherborne School
  • Presidents of the Royal Society of Edinburgh
  • Senior Wranglers

Keep exploring