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George G. Hall

George G. Hall 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 George G. Hall rather than just read about it. In short: George Garfield Hall (5 March 1925 – 6 May 2018) was a Northern Irish applied mathematician known for original work and contributions to the field of quantum chemistry. Independently from Clemens C.

Key takeaways

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

Reference excerpt

George Garfield Hall (5 March 1925 – 6 May 2018) was a Northern Irish applied mathematician known for original work and contributions to the field of quantum chemistry. Independently from Clemens C. J. Roothaan, Hall discovered the Roothaan-Hall equations.

Education and career Hall was educated at Queen's University Belfast and St John's College, Cambridge, where he studied for a PhD under the supervision of John Lennard-Jones. For his work on the Roothaan-Hall equations, Hall was awarded a doctorate by the University of Cambridge in 1950. He then lectured at Cambridge as a Research Assistant in theoretical chemistry, before being elected to a Fellowship at St John's College in 1953. From 1955 to 1962 he lectured in Mathematics at Imperial College London. In 1957–58 he spent a year with Per-Olov Löwdin in Uppsala, Sweden. He became Professor of Mathematics at the University of Nottingham in 1962. In 1982 he took early retirement from Nottingham and was appointed an emeritus professor. He moved in 1983 to Kyoto University, Japan, returning to Nottingham in 1988. He has collaborated with (inter alia) A.T. Amos, K. Collard, and D. Rees. He was Emeritus Professor and Senior Research Fellow in the Shell Centre for Mathematical Education at the University of Nottingham. He was awarded several honorary degrees for his work: a DSc by Maynooth University (2004), a ScD by Cambridge University and a DEng by Kyoto University. He was a member of the International Academy of Quantum Molecular Science. Hall had three children and six grandchildren. He died peacefully in Nottingham at the age of 93 on 6 May 2018.

Books G. G. Hall, Matrices and tensors. Pergamon (1963). G. G. Hall, Applied Group Theory. Longman (1965) & American Elsevier Publishing Co., Inc. (1967). G. G. Hall, Molecular Solid-State Physics. Springer (1991).

References

External links His International Academy of Quantum Molecular Science page A bibliography Another bibliography

Worked examples

Example 1 — a first encounter with George G. Hall

Start with the simplest possible case. Write down what George G. Hall 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 George G. Hall 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 George G. Hall 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 George G. Hall

In research
George G. Hall 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 George G. Hall 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
George G. Hall is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1925 births, 2018 deaths, 20th-century chemists from Northern Ireland, so understanding it makes those chapters shorter.
In everyday life
Look for George G. Hall 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 George G. Hall in 20 minutes

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

Frequently asked questions

What is George G. Hall in simple terms?

George Garfield Hall (5 March 1925 – 6 May 2018) was a Northern Irish applied mathematician known for original work and contributions to the field of quantum chemistry. Independently from Clemens C.

Why does George G. Hall 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 George G. Hall?

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 George G. Hall.

Tags

  • 1925 births
  • 2018 deaths
  • 20th-century chemists from Northern Ireland
  • 20th-century mathematicians from Northern Ireland
  • 21st-century chemists from Northern Ireland
  • 21st-century mathematicians from Northern Ireland
  • Alumni of Queen's University Belfast
  • Alumni of St John's College, Cambridge
  • British applied mathematicians
  • British chemist stubs
  • British mathematician stubs
  • Fellows of St John's College, Cambridge

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