mathematics

William Mathews (mountaineer)

William Mathews (mountaineer) 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 William Mathews (mountaineer) rather than just read about it. In short: William Mathews (1828–1901) was an English mountaineer, botanist, land agent and surveyor, who first proposed the formation of the Alpine Club of London in 1857. Early life He was the eldest of six sons of Jeremiah Mathews, a Worcestershire land agent, and his wife Mary Guest.

Key takeaways

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

Reference excerpt

William Mathews (1828–1901) was an English mountaineer, botanist, land agent and surveyor, who first proposed the formation of the Alpine Club of London in 1857.

Early life He was the eldest of six sons of Jeremiah Mathews, a Worcestershire land agent, and his wife Mary Guest. Of his brothers, Charles Edward Mathews (1834–1905) and George Spencer Mathews (1836–1904) were also noted mountaineers. William was educated at St John's College, Cambridge.

Founding of the Alpine Club Mathews had corresponded with F. J. A. Hort about the idea of founding a national mountaineering club in February 1857 and took the idea up with E. S. Kennedy on an ascent of the Finsteraarhorn on 13 August 1857 (the fifth ascent of the mountain and the first British ascent). Ad hoc meetings at Mathews's house near Birmingham proceeded during November, and the meeting at which the Alpine Club was founded took place on 22 December 1857 at Ashley's Hotel in London, chaired by Kennedy.

First ascents Grande Casse with guides Michel Croz and E. Favre on 8 August 1860 Castor with F. W. Jacomb and Michel Croz on 23 August 1861 Monte Viso with F. W. Jacomb and Michel Croz on 30 August 1861 Grandes Rousses with Thomas George Bonney, and Michel Croz with his brother Jean-Baptiste Croz in 1863

Publications 'Mechanical properties of ice, and their relation to glacier motion', by William Mathews, President of the Alpine Club, in Nature, 24 March 1870 The Flora of Algeria: considered in relation to the physical history of the Mediterranean region and supposed submergence of the Sahara (London: Edward Stanford, 1880)

References

Illustrations

Worked examples

Example 1 — a first encounter with William Mathews (mountaineer)

Start with the simplest possible case. Write down what William Mathews (mountaineer) 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 William Mathews (mountaineer) 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 William Mathews (mountaineer) 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 William Mathews (mountaineer)

In research: William Mathews (mountaineer) 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 William Mathews (mountaineer) 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: William Mathews (mountaineer) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1828 births, 1901 deaths, 19th-century English botanists, so understanding it makes those chapters shorter.
In everyday life: Look for William Mathews (mountaineer) 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 William Mathews (mountaineer) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what William Mathews (mountaineer) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain William Mathews (mountaineer) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is William Mathews (mountaineer) in simple terms?

William Mathews (1828–1901) was an English mountaineer, botanist, land agent and surveyor, who first proposed the formation of the Alpine Club of London in 1857. Early life He was the eldest of six sons of Jeremiah Mathews, a Worcestershire land agent, and his wife Mary Guest.

Why does William Mathews (mountaineer) 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 William Mathews (mountaineer)?

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 William Mathews (mountaineer).