mathematics

Norman Macleod Ferrers

Norman Macleod Ferrers 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 Norman Macleod Ferrers rather than just read about it. In short: Norman Macleod Ferrers (11 August 1829 – 31 January 1903) was a British mathematician and university administrator and editor of a mathematical journal. Career and research Ferrers was educated at Eton College before studying at Gonville and Caius College, Cambridge, where he was Senior Wrangler in 1851.

Key takeaways

Norman Macleod Ferrers belongs to mathematics; place it in that map before memorising details.
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Reproduce the core statement of Norman Macleod Ferrers from memory before moving on to harder problems.

Reference excerpt

Norman Macleod Ferrers (11 August 1829 – 31 January 1903) was a British mathematician and university administrator and editor of a mathematical journal.

Career and research Ferrers was educated at Eton College before studying at Gonville and Caius College, Cambridge, where he was Senior Wrangler in 1851. He was appointed to a Fellowship at the college in 1852, was called to the bar in 1855 and was ordained deacon in 1859 and priest in 1860. In 1880, he was appointed Master of the college, and served as vice-chancellor of Cambridge University from 1884 to 1885. Ferrers made many contributions to mathematical literature. From 1855 to 1891, he worked with J. J. Sylvester as editors, with others, in publishing The Quarterly Journal of Pure and Applied Mathematics. Ferrers assembled the papers of George Green for publication in 1871. In 1861 he published "An Elementary Treatise on Trilinear Co-ordinates". One of his early contributions was on Sylvester's development of Poinsot's representation of the motion of a rigid body about a fixed point. In 1871 he first suggested to extend the equations of motion with nonholonomic constraints. Another treatise of his on "Spherical Harmonics", published in 1877, presented many original features. In 1881, he studied Kelvin's investigation of the law of distribution of electricity in equilibrium on an uninfluenced spherical bowl and made the addition of finding the potential at any point of space in zonal harmonics. He died at the College Lodge on 31 January 1903.

Integer partitions Ferrers is associated with a particular way of arranging the partition of a natural number p. If p is the sum of n terms, the largest of which is m, then the Ferrers diagram starts with a row of m dots. The terms are arranged in order, and a row of dots corresponds to each term. Adams, Ferrers, and Sylvester articulated this theorem of partitions: "The number of modes of partitioning (n) into (m) parts is equal to the number of modes of partitioning (n) into parts, one of which is always (m), and the others (m) or less than (m)." The proof, attributed to Ferrers by Sylvester in 1883, involves flipping a Ferrers diagram about a diagonal line. In 1951 Jacques Riguet adopted this manner of ordering to the rows of a logical matrix. Alignment of rows of ones along the right side of a matrix is used, instead of the alignment of dots on the left. The logical matrix corresponds to a heterogeneous relation of Ferrers type.

Family On 3 April 1866, he married Emily, daughter of John Lamb, dean of Bristol cathedral. They had four sons and one daughter.

Bibliography 1861: An Elementary Treatise on Trilinear Coordinates (London), link from Internet Archive 1871: Mathematical papers of the late George Green, Edited By N.M. Ferrers 1877: An elementary treatise on spherical harmonics and subjects connected with them (London) from Internet Archive

References

External links "Ferrers, Norman Macleod (FRRS847NM)". A Cambridge Alumni Database. University of Cambridge. The National Archives | National Register of Archives | Person details | Archive Details at www.nra.nationalarchives.gov.uk http://www.macleodgenealogy.org/ACMS/D0035/I2304.html

Illustrations

Worked examples

Example 1 — a first encounter with Norman Macleod Ferrers

Start with the simplest possible case. Write down what Norman Macleod Ferrers 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 Norman Macleod Ferrers 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 Norman Macleod Ferrers 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 Norman Macleod Ferrers

In research: Norman Macleod Ferrers 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 Norman Macleod Ferrers 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: Norman Macleod Ferrers is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1829 births, 1903 deaths, 19th-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Norman Macleod Ferrers 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 Norman Macleod Ferrers in 20 minutes

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Frequently asked questions

What is Norman Macleod Ferrers in simple terms?

Norman Macleod Ferrers (11 August 1829 – 31 January 1903) was a British mathematician and university administrator and editor of a mathematical journal. Career and research Ferrers was educated at Eton College before studying at Gonville and Caius College, Cambridge, where he was Senior Wrangler in…

Why does Norman Macleod Ferrers 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 Norman Macleod Ferrers?

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 Norman Macleod Ferrers.