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Charles Hayes (mathematician)

Charles Hayes (mathematician) 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 Charles Hayes (mathematician) rather than just read about it. In short: Charles Hayes (1678–1760) was an English mathematician, chronologist and slave trader who wrote a book on the method of fluxions. He also served as an official of the Royal African Company, which engaged in the Atlantic slave trade.

Charles Hayes (mathematician) — main illustration
Charles Hayes (mathematician) — illustration

Key takeaways

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

Reference excerpt

Charles Hayes (1678–1760) was an English mathematician, chronologist and slave trader who wrote a book on the method of fluxions. He also served as an official of the Royal African Company, which engaged in the Atlantic slave trade.

Life Hayes was a member of Gray's Inn. Having made a voyage to Africa and spent some time there, he had a reputation as a geographer, and was chosen annually to be sub-governor or deputy-governor of the Royal African Company (RAC), which engaged in the Atlantic slave trade. When the RAC was dissolved in 1752, Hayes settled at Downe, Kent. John Nichols remarks that Hayes spent much time in philosophical experiments. Hayes found favour with his contemporaries from his ‘sedate temper’ and clear exposition; and Charles Hutton remarked that he had erudition concealed by modesty. Hayes died at his chambers in Gray's Inn on 18 December 1760.

Works In 1704, appeared his Treatise on Fluxions, or an Introduction to Mathematical Philosophy, London, the first English work explaining Isaac Newton's method of infinitesimals. After an introduction on conic sections with concise proofs, Hayes applied Newton's method systematically, first to obtain the tangents of curves, then their areas, and lastly to problems of maxima and minima. His preface shows he was well read in mathematical literature. In 1710 he printed a pamphlet, New and Easy Method to find out the Longitude; and in 1723 The Moon, a Philosophical Dialogue, arguing that she is not opaque, but has some light of her own. After studying Hebrew, Hayes in 1736 published his Vindication of the History of the Septuagint, and in 1738 Critical Examination of the Holy Gospels according to St. Matthew and St. Luke, with regard to the history of Christ's birth and infancy. His studies were from then mainly directed to chronology, except for some tracts written to defend the policy of the Royal African Company. In 1747 appeared his Series of Kings of Argos and of Emperors of China from Fohi to Jesus Christ, to prove that their dates and order of succession agreed with the Septuagint, and in 1751 a Dissertation on the Chronology of the Septuagint, a defence of the Chaldean and Egyptian chronology and history. In retirement, he became absorbed in a major work, Chronographia Asiatica & Ægyptiaca, which he did not live to complete. Two parts of it only were published, during the last two years of his life, when he had chambers in Gray's Inn: first, Chronographiæ Asiaticæ & Ægyptiacæ Specimen, and the second, subdivided into (1) Origo Chronologiæ LXX interpretum investigatur, and (2) Conspectus totius Operis exhibetur. Part of his argument is that the Seventy (authors of the Septuagint) and Josephus made use of writings preserved in the library of the Second Temple of Jerusalem, which had been omitted in making up the Old Testament canon.

References

Attribution This article incorporates text from a publication now in the public domain: Anderson, Robert Edward (1891). "Hayes, Charles". In Stephen, Leslie; Lee, Sidney (eds.). Dictionary of National Biography. Vol. 25. London: Smith, Elder & Co.

External links Treatise on Fluxions, London, 1704

Illustrations

Charles Hayes (mathematician): Treatise of fluxions, 1704
Treatise of fluxions, 1704

Worked examples

Example 1 — a first encounter with Charles Hayes (mathematician)

Start with the simplest possible case. Write down what Charles Hayes (mathematician) 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 Charles Hayes (mathematician) 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 Charles Hayes (mathematician) 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 Charles Hayes (mathematician)

In research
Charles Hayes (mathematician) 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 Charles Hayes (mathematician) 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
Charles Hayes (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1678 births, 1760 deaths, 18th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Charles Hayes (mathematician) 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 Charles Hayes (mathematician) in 20 minutes

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

Frequently asked questions

What is Charles Hayes (mathematician) in simple terms?

Charles Hayes (1678–1760) was an English mathematician, chronologist and slave trader who wrote a book on the method of fluxions. He also served as an official of the Royal African Company, which engaged in the Atlantic slave trade.

Why does Charles Hayes (mathematician) 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 Charles Hayes (mathematician)?

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 Charles Hayes (mathematician).

Tags

  • 1678 births
  • 1760 deaths
  • 18th-century English mathematicians
  • 18th-century English slave traders
  • Chronologists
  • Freemasons of the Premier Grand Lodge of England

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