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Isaac Todhunter

Isaac Todhunter 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 Isaac Todhunter rather than just read about it. In short: Isaac Todhunter FRS (23 November 1820 – 1 March 1884), was an English mathematician who is best known today for the books he wrote on mathematics and its history. Life and work The son of George Todhunter, a Nonconformist minister, and Mary (née Hume), he was born at Rye, Sussex.

Isaac Todhunter — main illustration
Isaac Todhunter — illustration

Key takeaways

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

Reference excerpt

Isaac Todhunter FRS (23 November 1820 – 1 March 1884), was an English mathematician who is best known today for the books he wrote on mathematics and its history.

Life and work The son of George Todhunter, a Nonconformist minister, and Mary (née Hume), he was born at Rye, Sussex. He was educated at Hastings, where his mother had opened a school after the death of his father in 1826. He was at first at a school run by Robert Carr, moving then to one opened by John Baptist Austin. Todhunter became an assistant master at a school at Peckham, attending at the same time evening classes at the University College, London where he was influenced by Augustus De Morgan. In 1842 he obtained a mathematical scholarship and graduated as B.A. at London University, where he was awarded the gold medal on the M.A. examination. About this time he became mathematical master at a school at Wimbledon. In 1844 Todhunter entered St John's College, Cambridge, where he was senior wrangler in 1848, and gained the first Smith's Prize and the Burney Prize; and in 1849 he was elected to a fellowship, and began his life of college lecturer and private tutor. In 1862 he was made a fellow of the Royal Society, and in 1865 a member of the London Mathematical Society. In 1871 he gained the Adams Prize and was elected to the council of the Royal Society. He was elected honorary fellow of St John's in 1874, having resigned his fellowship on his marriage in 1864. In 1880 his eyesight began to fail, and shortly afterwards he was attacked with paralysis. He is buried in the Mill Road cemetery, Cambridge.

Personal life Todhunter married 13 August 1864 Louisa Anna Maria, eldest daughter of Captain (afterwards Admiral) George Davies, R.N. (at that time head of the county constabulary force). He died on 1 March 1884, at his residence, 6 Brookside, Cambridge. A mural tablet and medallion portrait were placed in the ante-chapel of his college by his widow, who, with four sons and one daughter, survived him. He was a sound Latin and Greek scholar, familiar with French, German, Spanish, Italian, and also Russian, Hebrew, and Sanskrit. He was well versed in the history of philosophy, and on three occasions acted as examiner for the moral sciences tripos.

Selected writings 1852: Treatise on the Differential Calculus and the Elements of the Integral Calculus (6th ed., 1873) 1853: Treatise on Analytical Statics (4th ed., 1874) 1857: Treatise on the Integral Calculus (4th ed., 1874) 1858: Algebra (New ed., 1870) 1858: Examples of Analytical Geometry of Three Dimensions (3rd ed., 1873) 1858: Treatise on Plane Co-ordinate Geometry (4th ed., 1867) 1859: Plane Trigonometry (7th ed., 1878) 1859: Spherical Trigonometry, substantially revised by J. G. Leathem (1901) 1861: History of the Calculus of Variations (1861) 1861: Theory of Equations (1861, 2nd ed. 1875) 1863: Algebra for Beginners. (New ed., 1867) 1865: A History of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace 1866: Trigonometry for Beginners 1867: Mechanics for Beginners 1871: Treatise on differential Calculus 1871: Researches in the Calculus of Variations 1873: The Conflict of Studies and Other Essays on Subjects Connected with Education 1873: History of the Mathematical Theories of Attraction and Figure of the Earth from Newton to Laplace 1875: Elementary Treatise on Laplace's, Lamé's and Bessel's Functions 1876: William Whewell, D.D., Master of Trinity College, Cambridge (Vol. 1, Vol. 2), republished 2011, doi:10.1017/cbo9781139105415 1877: Natural Philosophy for Beginners 1886: (with Karl Pearson) A history of the theory of elasticity and of the strength of materials from Galilei to the present time Vol II Pt I Vol II Pt II Todhunter wrote textbooks on algebra and trigonometry, and a revision of the translation by Robert Simson of Euclid's Elements, which, with an introduction by Thomas Little Heath, was republished by Everyman in 1933. Todhunter's major historical works include a history of the probability theory from the time of Blaise Pascal to that of Pierre-Simon Laplace first published in 1865.

References

Attribution: This article incorporates text from a publication now in the public domain: Lee, Sidney, ed. (1898). "Todhunter, Isaac". Dictionary of National Biography. Vol. 56. London: Smith, Elder & Co.

Further reading "Isaac Todhunter". Obituary. The Eagle. 13 (73): 94–98. 1884. Chisholm, Hugh, ed. (1911). "Todhunter, Isaac" . Encyclopædia Britannica. Vol. 26 (11th ed.). Cambridge University Press. p. 1044. Macfarlane, Alexander (1916). "Isaac Todhunter". Lectures on Ten British Mathematicians of the Nineteenth Century. New York: Wiley. pp. 134–141. Mayor, John E. B. (1884). In Memoriam: Isaac Todhunter. Cambridge: MacMillan & Bowes. Mullinger, J. B.; Rice, Adrian. "Todhunter, Isaac (1820–1884)". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/27493. (Subscription, Wikipedia Library access or UK public library membership required.) O'Connor, John J.; Robertson, Edmund F., "Isaac Todhunter", MacTutor History of Mathematics Archive, University of St Andrews Routh, Edward J. (1884). "Obituary notices". Proceedings of the Royal Society. 37: xxvii–xxxii. doi:10.1098/rspl.1884.0002.

External links

Works by Isaac Todhunter at Project Gutenberg Works by or about Isaac Todhunter at the Internet Archive Isaac Todhunter's publications at Google Books

Illustrations

Isaac Todhunter illustration

Worked examples

Example 1 — a first encounter with Isaac Todhunter

Start with the simplest possible case. Write down what Isaac Todhunter 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 Isaac Todhunter 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 Isaac Todhunter 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 Isaac Todhunter

In research
Isaac Todhunter 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 Isaac Todhunter 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
Isaac Todhunter is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1820 births, 1884 deaths, 19th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Isaac Todhunter 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 Isaac Todhunter in 20 minutes

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

Frequently asked questions

What is Isaac Todhunter in simple terms?

Isaac Todhunter FRS (23 November 1820 – 1 March 1884), was an English mathematician who is best known today for the books he wrote on mathematics and its history. Life and work The son of George Todhunter, a Nonconformist minister, and Mary (née Hume), he was born at Rye, Sussex.

Why does Isaac Todhunter 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 Isaac Todhunter?

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 Isaac Todhunter.

Tags

  • 1820 births
  • 1884 deaths
  • 19th-century English mathematicians
  • Alumni of St John's College, Cambridge
  • Alumni of the University of London
  • British fellows of the Royal Society
  • British historians of mathematics
  • Euclid
  • People from Rye, East Sussex
  • Senior Wranglers

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