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John Radford Young

John Radford Young 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 John Radford Young rather than just read about it. In short: John Radford Young (8 April 1799 in Southwark – 5 March 1885 in Peckham) was an English mathematician, professor and author, who was almost entirely self-educated. He was born of humble parents in London.

Key takeaways

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

Reference excerpt

John Radford Young (8 April 1799 in Southwark – 5 March 1885 in Peckham) was an English mathematician, professor and author, who was almost entirely self-educated. He was born of humble parents in London. At an early age he became acquainted with Olinthus Gilbert Gregory, who perceived his mathematical ability and assisted him in his studies. In 1823, while working in a private establishment for the deaf, he published An Elementary Treatise on Algebra with a dedication to Gregory. This treatise was followed by a series of elementary works, in which, following in the steps of Robert Woodhouse, Young familiarized English students with continental methods of mathematical analysis. In 1833, he was appointed Professor of Mathematics at Belfast College. When Queen's College, Belfast, opened in 1849, the presbyterian party in control there prevented Young's reappointment as Professor in the new establishment. From that time he devoted himself more completely to the study of mathematical analysis, and made several original discoveries. In 1847, he published in the Transactions of the Cambridge Philosophical Society a paper "On the Principle of Continuity in reference to certain Results of Analysis", and, in 1848, in the Transactions of the Royal Irish Academy a paper "On an Extension of a Theorem of Euler". As early as 1844, he had discovered and published a proof of Newton's rule for determining the number of imaginary roots in an equation. In 1866, he completed his proof, publishing in The Philosophical Magazine a demonstration of a principle which in his earlier paper he had assumed as axiomatic. In 1868, he contributed to the Proceedings of the Royal Irish Academy a memoir "On the Imaginary Roots of Numerical Equations". Young died at Peckham on 5 March 1885. He was married and had at least two sons and four daughters.

Works An Elementary Treatise on Algebra 1823, 1832, 1834 Elements of Geometry 1827 Elements of Analytical Geometry 1830 An Elementary Essay on the Computation of Logarithms 1830 The Elements of the Differential Calculus 1831 The Elements of the Integral Calculus 1831 The Elements of Mechanics, comprehending Statics and Dynamics 1832 Elements of Plane and Spherical Trigonometry 1833 Theory and Solution of Algebraical Equations 1843 (1st edition: 1835) Mathematical Dissertations for the Use of Students in the Modern Analysis 1841 On the General Principles of Analysis, Part I.: The Analysis of Numerical Equations 1850 An Introductory Treatise on Mensuration 1850 An Introduction to Algebra and to the Solution of Numerical Equations 1851 Rudimentary Treatise on Arithmetic 1858, 1882 A Compendious Course of Mathematics 1855 The Theory and Practice of Navigation and Nautical Astronomy 1856, 1882 Navigation and Nautical Astronomy, 1858 The Mosaic Cosmogony not “adverse to Modern Science 1861 Science elucidative of Scripture and not antagonistic to it 1863 Modern Scepticism Viewed in Relation to Modern Science 1865

References

Joao Caramalho Domingues (2014). "The repercussion of José Anastácio da Cunha in Britain and the USA in the nineteenth century". BSHM Bulletin. 20 (1): 32–50. doi:10.1080/17498430.2013.802111. hdl:1822/26424. S2CID 54220154. This article is based on a public domain article from Dictionary of National Biography 1885-1900, Vol.63.

External links

E. I. Carlyle, rev. Alan Yoshioka, "Young, John Radford (1799–1885)", Oxford Dictionary of National Biography, Oxford University Press, 2004. John Radford Young, Michael Floy Elements of Geometry with Notes 1833 John Radford Young, Key to the Introduction to Algebra 1854, full-length solutions to An Introduction to Algebra John Radford Young, Sir John Francis Twisden, Alexander Jardine (Esq.), The Mathematical Sciences 1860

Worked examples

Example 1 — a first encounter with John Radford Young

Start with the simplest possible case. Write down what John Radford Young 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 John Radford Young 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 John Radford Young 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 John Radford Young

In research
John Radford Young 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 John Radford Young 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
John Radford Young is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1799 births, 1885 deaths, 19th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for John Radford Young 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 John Radford Young in 20 minutes

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

Frequently asked questions

What is John Radford Young in simple terms?

John Radford Young (8 April 1799 in Southwark – 5 March 1885 in Peckham) was an English mathematician, professor and author, who was almost entirely self-educated. He was born of humble parents in London.

Why does John Radford Young 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 John Radford Young?

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 John Radford Young.

Tags

  • 1799 births
  • 1885 deaths
  • 19th-century English mathematicians
  • Algebraic geometers
  • British geometers
  • Mathematical analysts

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