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Ian Sloan (mathematician)

Ian Sloan (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 Ian Sloan (mathematician) rather than just read about it. In short: Ian Hugh Sloan (born 17 June 1938) is an Australian applied mathematician. Early life Sloan was born on 17 June, 1938, in Melbourne, Australia.

Key takeaways

  • Ian Sloan (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 Ian Sloan (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Ian Sloan (mathematician) from memory before moving on to harder problems.

Reference excerpt

Ian Hugh Sloan (born 17 June 1938) is an Australian applied mathematician.

Early life Sloan was born on 17 June, 1938, in Melbourne, Australia. His father, originally trained as a civil engineer, became a senior mathematics teacher and housemaster at Scotch College, Melbourne after losing his job during the Great Depression. Sloan has an older brother, Charles. At age 6, his father was appointed as Principal of Ballarat College, and so he moved from Scotch College to Ballarat College, where he spent most of his school years.

Education Sloan's inspiration to study science and mathematics is drawn from his father who was a mathematics teacher. After attending Scotch College and Ballarat College, he graduated from the University of Melbourne with a Bachelor of Science (BSc) in 1958 and a Bachelor of Arts (BA) with Honours in 1960. He subsequently earned a Master of Science (MSc) in mathematical physics from the University of Adelaide. Sloan then completed a Phd in theoretical physics at University College London under the supervision of Sir Harrie Massey, while working as a research scientist for the Colonial Sugar Refining from 1961 until 1965.

Career In 1964, Sloan returned to Australia and subsequently joined the University of New South Wales (UNSW) in 1965 as Lecturer. He was promoted to Senior Lecturer in 1968, Associate Professor in 1973 and then to Scientia Professor in 1999. He was appointed to Personal Chair in Mathematics in 1983 before serving as the Head of the School of Mathematics from 1986 to 1990 and from 1992 to 1993. He is now an Emeritus and part-time professor at UNSW. His early work was in theoretical nuclear physics, but he moved to applied mathematics, especially numerical analysis. Sloan has published more than 280 papers covering areas such as the numerical solution of integral equations, numerical integration and interpolation, boundary integral equations, approximation theory, multiple integration, continuous complexity theory and other parts of numerical analysis and approximation theory. He has made important contributions to the theory of numerical integration in many dimensions, in recent years concentrating on quasi-Monte Carlo methods. The Bencze-Redish-Sloan equation and the Sloan iteration for integral equations are named after him. He has had many visiting positions including at Cornell University, Erwin Schrödinger International Institute for Mathematics and Physics, Hong Kong Polytechnic University, King Fahd University of Petroleum and Minerals, Mittag-Leffler Institute, Isaac Newton Institute, Polytechnic University of Milan, TU Wien, University of Bath, University of Stuttgart, Weierstrass Institute and the University of Maryland, where he completed two sabbaticals. Sloan has been a member of the editorial board of a number of journals including the SIAM Journal on Numerical Analysis, Numerische Mathematik, Advances in Computational Mathematics, Journal of Integral Equations and Applications, the International Journal of Geomathematics, Foundations of Computational Mathematics, Computational Methods in Applied Mathematics, the Chinese Journal of Engineering Mathematics, International Journal for Mathematics in Industry and the Journal of Complexity. Between 1998 and 2000, he served as the President of the Australian Mathematical Society. From 2003 to 2007, he was president of the International Council for Industrial and Applied Mathematics (ICIAM). After serving as Vice-President and President-elect between 2017 and 2018, Sloan became President of the Royal Society of New South Wales between 2018 and 2020, taking over from Brynn Hibbert.

Personal life Sloan is married to Jan Sloan, who he met while studying at the University of Melbourne. They have two children, a daughter and a son.

Awards and honours In 1993 he was elected a Fellow of the Australian Academy of Science In 1997, he was awarded the ANZIAM Medal of the Australian Mathematical Society. In 2001, he was awarded the Australian Academy of Science's Thomas Ranken Lyle Medal. In 2001, he was awarded the Centenary Medal "for service to Australian society and science mathematics" In 2002, he shared the inaugural George Szekeres Medal of the Australian Mathematical Society with Alf van der Poorten of Macquarie University. In the June 2008 Queen's Birthday Honours, he was appointed an Officer of the Order of Australia (AO) for "service to education through the study of mathematics, particularly in the field of computational mathematics, as an academic, researcher and mentor, and to a range of national and international professional associations." In 2009, he became Fellow of the Society for Industrial and Applied Mathematics In 2012 he became a fellow of the American Mathematical Society. In 2014 he was elected a Fellow of the Royal Society of New South Wales (FRSN). In 2018, he received an Honorary Doctorate from UNSW. In 2023, he was elected as a Distinguished Fellow of the Royal Society of New South Wales.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Ian Sloan (mathematician)

Start with the simplest possible case. Write down what Ian Sloan (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 Ian Sloan (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 Ian Sloan (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 Ian Sloan (mathematician)

In research
Ian Sloan (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 Ian Sloan (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
Ian Sloan (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, Academic staff of the University of New South Wales, Alumni of University College London, so understanding it makes those chapters shorter.
In everyday life
Look for Ian Sloan (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 Ian Sloan (mathematician) in 20 minutes

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

Frequently asked questions

What is Ian Sloan (mathematician) in simple terms?

Ian Hugh Sloan (born 17 June 1938) is an Australian applied mathematician. Early life Sloan was born on 17 June, 1938, in Melbourne, Australia.

Why does Ian Sloan (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 Ian Sloan (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 Ian Sloan (mathematician).

Tags

  • 1938 births
  • Academic staff of the University of New South Wales
  • Alumni of University College London
  • Alumni of the University of London
  • Fellows of the American Mathematical Society
  • Fellows of the Australian Academy of Science
  • Fellows of the Royal Society of New South Wales
  • Fellows of the Society for Industrial and Applied Mathematics
  • Living people
  • Mathematicians from Melbourne
  • Officers of the Order of Australia
  • University of Adelaide alumni

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