mathematics

John M. Ball

John M. Ball 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 M. Ball rather than just read about it. In short: Sir John Macleod Ball (born 19 May 1948) is a British mathematician and former Sedleian Professor of Natural Philosophy at the University of Oxford. He was the president of the International Mathematical Union from 2003 to 2006 and a Fellow of Queen's College, Oxford.

Key takeaways

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

Reference excerpt

Sir John Macleod Ball (born 19 May 1948) is a British mathematician and former Sedleian Professor of Natural Philosophy at the University of Oxford. He was the president of the International Mathematical Union from 2003 to 2006 and a Fellow of Queen's College, Oxford. Ball was educated at St. John's College, Cambridge and Sussex University, and prior to taking up his Oxford post was a professor of mathematics at Heriot-Watt University in Edinburgh. Ball's research interests include elasticity, the calculus of variations, and infinite-dimensional dynamical systems. He was knighted in the New Year Honours list for 2006 "for services to Science". He is a member of the Norwegian Academy of Science and Letters and a fellow of the American Mathematical Society. He was a member of the first Abel Prize Committee in 2002 and for the Fields Medal Committee in 1998. From 1996 to 1998 he was president of the London Mathematical Society, and from 2003 to 2006 he was president of the International Mathematical Union, IMU. In October 2011, he was elected on the executive board of ICSU for a three-year period starting January 2012. Ball is listed as an ISI highly cited researcher. Along with Stuart S. Antman he won the Theodore von Kármán Prize in 1999. In 2018, he received the King Faisal International Prize in Mathematics. Ball received an Honorary Doctorate from Heriot-Watt University in 1998. He was elected a Fellow of The Royal Society of Edinburgh in 1980. He also holds a visiting position at the University of Edinburgh.

Personal life He is married to Lady Sedhar Chozam-Ball, actress, and has three children.

Illustrations

Worked examples

Example 1 — a first encounter with John M. Ball

Start with the simplest possible case. Write down what John M. Ball 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 M. Ball 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 M. Ball 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 M. Ball

In research: John M. Ball 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 M. Ball 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 M. Ball is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century British mathematicians, 21st-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for John M. Ball 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 M. Ball in 20 minutes

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

Frequently asked questions

What is John M. Ball in simple terms?

Why does John M. Ball 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 M. Ball?

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 M. Ball.