mathematics

Robert William Genese

Robert William Genese 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 Robert William Genese rather than just read about it. In short: Robert William Genese (1848, Dublin – 1928) was an Irish mathematician whose career was spent in Wales. Early life and education Genese was born on Westland Row a street on the south side of Dublin on 8 May 1848.

Key takeaways

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

Reference excerpt

Robert William Genese (1848, Dublin – 1928) was an Irish mathematician whose career was spent in Wales.

Early life and education Genese was born on Westland Row a street on the south side of Dublin on 8 May 1848. From St John's College of the University of Cambridge, Genese received in 1871 his bachelor's degree (with rank eighth Wrangler in the Tripos) and in 1874 his master's degree.

Professional life Following an unsuccessful application for the Chair of Mathematics at Aberystwyth in 1872, he taught at the Training College in Carmarthen. He finally secured the professorship at Aberystwyth in 1879, and held it until 1919. Along the way his title became Professor of Mathematics and Astronomy. Genese introduced into the United Kingdom the ideas of Hermann Grassmann (advancing the use of vector analysis). In his 1941 book The calculus of extensions, Henry Forder published numerous examples in vector analysis taken from Genese's posthumous notes. (Genese's notes were left to the Mathematical Association and then given in 1929 to Forder by E. H. Neville.) Genese was an Invited Speaker of the ICM in 1904 in Heidelberg with talk On some useful theorems in the continued multiplication of a regressive product in real four-point space and in 1908 in Rome with talk The method of reciprocal polars applied to forces in space.

Selected publications "Suggestions for the Practical Treatment of the Standard Cubic Equation, and a Contribution to the Theory of Substitution." The Mathematical Gazette 9, no. 129 (1917): 65–69. doi:10.2307/3603498 "On the Theory of the Plane Complex with Simple Geometrical and Kinematical Illustrations." The Mathematical Gazette 11, no. 164 (1923): 293–301. doi:10.2307/3603761 "A Simple Exposition of Grassmann's Methods." The Mathematical Gazette 13, no. 189 (1927): 373–391. doi:10.2307/3604329

References

External links biographical details, Ceredigion County Council Archived 1 October 2017 at the Wayback Machine

Worked examples

Example 1 — a first encounter with Robert William Genese

Start with the simplest possible case. Write down what Robert William Genese 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 Robert William Genese 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 Robert William Genese 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 Robert William Genese

In research: Robert William Genese 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 Robert William Genese 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: Robert William Genese is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1848 births, 1928 deaths, 19th-century Irish mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Robert William Genese 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 Robert William Genese in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Robert William Genese means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Robert William Genese out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Robert William Genese in simple terms?

Robert William Genese (1848, Dublin – 1928) was an Irish mathematician whose career was spent in Wales. Early life and education Genese was born on Westland Row a street on the south side of Dublin on 8 May 1848.

Why does Robert William Genese 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 Robert William Genese?

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 Robert William Genese.