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James Bates Thomson

James Bates Thomson 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 Bates Thomson rather than just read about it. In short: James Bates Thomson (May 21, 1808 – June 22, 1883) was an American mathematician, educator, and writer. Thomson was born in Springfield, Vermont, on May 21, 1808.

Key takeaways

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

Reference excerpt

James Bates Thomson (May 21, 1808 – June 22, 1883) was an American mathematician, educator, and writer. Thomson was born in Springfield, Vermont, on May 21, 1808. He was the son of John and Elizabeth (Brown) Thomson. After several years' experience in teaching, he entered Yale College in 1829, but on completing his freshman year he was obliged to be absent on account of illness, and so did not graduate until 1834. After taking his degree he spent one year in New Haven, Connecticut, as a resident graduate, and then took charge of an academy in Nantucket, Massachusetts, where he remained until 1842, when he resigned and moved to Auburn, New York. He was then entrusted by Yale president Jeremiah Day with the duty of abridging his treatise on algebra, and for four or five years subsequently devoted himself to the organization and extension of teachers' institutes and similar gatherings. He moved to New York City in 1846. For the rest of his life he lived at various times in New York City and also in Brooklyn, New York, which was then a separate city. He continued to work on the completion and revision of a series of mathematical works. He received the degree of Doctor of Laws from Hamilton College in 1853, and again from the University of Tennessee in 1882. He moved to Brooklyn in 1868, and for eight years before he died suffered from rheumatism. He died in Brooklyn, June 22, 1883 at age 75. He married, August 25, 1840, Mary Coffin, who survived him with their only child, a daughter. His great-grandson, Thomson Burtis, was a prolific writer of adventure stories for boys as well as several movie scripts. This article incorporates public domain material from the 1884 Yale Obituary Record.

External links

Works by Thomson

Worked examples

Example 1 — a first encounter with James Bates Thomson

Start with the simplest possible case. Write down what James Bates Thomson 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 Bates Thomson 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 Bates Thomson 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 Bates Thomson

In research
James Bates Thomson 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 Bates Thomson 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 Bates Thomson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1808 births, 1883 deaths, 19th-century American male writers, so understanding it makes those chapters shorter.
In everyday life
Look for James Bates Thomson 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 Bates Thomson in 20 minutes

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

Frequently asked questions

What is James Bates Thomson in simple terms?

James Bates Thomson (May 21, 1808 – June 22, 1883) was an American mathematician, educator, and writer. Thomson was born in Springfield, Vermont, on May 21, 1808.

Why does James Bates Thomson 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 Bates Thomson?

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 Bates Thomson.

Tags

  • 1808 births
  • 1883 deaths
  • 19th-century American male writers
  • 19th-century American mathematicians
  • American mathematician stubs
  • People from Springfield, Vermont
  • Yale College alumni

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