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James Inman

James Inman 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 Inman rather than just read about it. In short: James Inman (1776–1859), an English mathematician and astronomer, was professor of mathematics at the Royal Naval College, Portsmouth, and author of Inman's Nautical Tables. Early years Inman was born at Tod Hole in Garsdale, then in the West Riding of Yorkshire, the younger son of Richard Inman and Jane Hutchinson.

Key takeaways

  • James Inman 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 Inman to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of James Inman from memory before moving on to harder problems.

Reference excerpt

James Inman (1776–1859), an English mathematician and astronomer, was professor of mathematics at the Royal Naval College, Portsmouth, and author of Inman's Nautical Tables.

Early years Inman was born at Tod Hole in Garsdale, then in the West Riding of Yorkshire, the younger son of Richard Inman and Jane Hutchinson. He was educated at Sedbergh and St John's College, Cambridge, graduating as first Smith's prizeman and Senior Wrangler for 1800. Among his close college friends was Henry Martyn. After graduating with first class honours in 1800, Inman intended to undertake missionary work in the Middle East, in Syria, but due to a declaration of war could travel no further than Malta, where he continued to study Arabic.

Astronomer for Matthew Flinders, 1803–04 Returning to England, the Board of Longitude appointed him as replacement astronomer (the original astronomer, suffering from severe seasickness, was discharged en route to Australia) on the expedition of HMS Investigator under Matthew Flinders charting Australian waters in 1803–1804. Arriving at Sydney too late to join in Flinders' circumnavigation of Australia, he assisted in concluding the expedition. At this time he became a firm friend of Flinders' nephew, John Franklin, then midshipman. He also befriended the Investigator's artist, William Westall, for whom he later wrote letters of introduction. While on board the East Indiaman Warley for his return to Britain, he participated in the Battle of Pulo Auro. Here he temporarily commanded a party of lascar pikemen.

Professor, Royal Naval College He was ordained into the Anglican ministry in 1805 when he gained his MA. Three years later he received an appointment as Professor of Nautical Mathematics at the Royal Naval College. In 1821 he published Navigation and Nautical Astronomy for Seamen; these nautical mathematical tables, known as Inman's Nautical Tables, remained in use for many years. In the third edition (1835) he introduced a new table of haversines (the term was his coinage) to simplify the calculation of distances between two points on the surface of the earth using spherical trigonometry. (For details of the calculation, see Haversine formula.) At his suggestion, in 1810 the Admiralty established a School of Naval Architecture; the Admiralty also appointed Inman its first principal. In 1812 he conducted experiments with Flinders which led to the invention of the Flinders Bar, used for marine compass correction. At the same time as teaching in the school and publishing mathematical texts for the use of his pupils, he translated a French text on the architecture of shipbuilding, and continued his own studies, gaining his doctorate in Divinity in 1820. In recognition of his work in nautical astronomy he was elected a Fellow of the Royal Astronomical Society. He also directed the design and construction of no less than ten British warships, of which he was proud to state that none ever had the slightest mishap due to an error of design or form. He retired in 1839, but continued living in Portsmouth until his death twenty years later, on 7 February 1859, aged 83.

Family and legacy His wife Mary, daughter of Richard Williams, vicar of All Saints' Church, Oakham, Rutland, was a direct descendant of Hannah Ayscough, the mother of Sir Isaac Newton. James and Mary Inman had seven children. Their eldest son was James Williams Inman (1809–1895), Cambridge BA 1833, MA 1836, headmaster of The King's School, Grantham. Their youngest son Henry Inman (1816–1895), was founder and first commander of the South Australia Police. In Sir John Franklin's first North American expedition he named Inman Harbour "after my friend the Professor at the Royal Naval College". During Franklin's second Arctic voyage in 1826 his surveyor named the Inman River, northwest of Coppermine River, Canada, after Inman. In December 1829 a headland of perpendicular cliffs at Tierra del Fuego was named Cape Inman, "in compliment to the Professor," during the voyages of HMS Adventure and HMS Beagle.

Works Arithmetic, Algebra, and Geometry, 1810 A Treatise on Shipbuilding, with Explanations and Demonstrations respecting the Architectura Navalis Mercatoria, by Frederick Henry de Chapman, . . . translated into English, with explanatory notes, and a few Remarks on the Construction of Ships of War The Scriptural Doctrine of Divine Grace: a Sermon preached before the University Cambridge, 8vo, 1820 Inman, James (1821). Navigation and Nautical Astronomy: For the Use of British Seamen (1 ed.). London, UK: W. Woodward, C. & J. Rivington. Navigation and Nautical Astronomy for the use of British Seamen, 1821 (Third edition with haversine logarithms 1835–1836) An Introduction to Naval Gunnery, 1826 Plane and Spherical Trigonometry, 1826 Formulæ and Rules for making Calculations on Plans of Ships London, 8vo, 1849

References

J. K. Laughton, ‘Inman, James (1776–1859)’, rev. Andrew Lambert, Oxford Dictionary of National Biography, Oxford University Press, 2004; online edn, May 2008. Retrieved 4 January 2009

External links Royal Naval Museum biography Archived 14 October 2007 at the Wayback Machine Memorial, St Ann's, Portsmouth Painting of James Inman at MOD art collection

Worked examples

Example 1 — a first encounter with James Inman

Start with the simplest possible case. Write down what James Inman 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 Inman 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 Inman 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 Inman

In research
James Inman 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 Inman 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 Inman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1776 births, 1859 deaths, 19th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for James Inman 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 Inman in 20 minutes

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

Frequently asked questions

What is James Inman in simple terms?

James Inman (1776–1859), an English mathematician and astronomer, was professor of mathematics at the Royal Naval College, Portsmouth, and author of Inman's Nautical Tables. Early years Inman was born at Tod Hole in Garsdale, then in the West Riding of Yorkshire, the younger son of Richard Inman an…

Why does James Inman 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 Inman?

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 Inman.

Tags

  • 1776 births
  • 1859 deaths
  • 19th-century English mathematicians
  • Alumni of St John's College, Cambridge
  • People educated at Sedbergh School
  • Senior Wranglers

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