ArticleslgStudy

mathematics

George Andrews (mathematician)

George Andrews (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 George Andrews (mathematician) rather than just read about it. In short: George Eyre Andrews (born December 4, 1938) is an American mathematician working in special functions, number theory, analysis and combinatorics. Education and career He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University.

George Andrews (mathematician) — main illustration
George Andrews (mathematician) — illustration

Key takeaways

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

Reference excerpt

George Eyre Andrews (born December 4, 1938) is an American mathematician working in special functions, number theory, analysis and combinatorics.

Education and career He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University. He did his undergraduate studies at Oregon State University and received his PhD in 1964 at the University of Pennsylvania where his advisor was Hans Rademacher. During 2008–2009 he was president of the American Mathematical Society.

Contributions Andrews's contributions include several monographs and over 250 research and popular articles on q-series, special functions, combinatorics and applications. He is considered to be the world's leading expert in the theory of integer partitions. In 1976 he discovered Ramanujan's Lost Notebook. He is interested in mathematical pedagogy. His book The Theory of Partitions is the standard reference on the subject of integer partitions. He has advanced mathematics in the theories of partitions and q-series. His work at the interface of number theory and combinatorics has also led to many important applications in physics.

Awards and honors In 2003 Andrews was elected a member of the National Academy of Sciences. He was elected a Fellow of the American Academy of Arts and Sciences in 1997. In 1998 he was an Invited Speaker at the International Congress of Mathematicians in Berlin. In 2012 he became a fellow of the American Mathematical Society. He was given honorary doctorates from the University of Parma in 1998, the University of Florida in 2002, the University of Waterloo in 2004, SASTRA University in Kumbakonam, India in 2012, and University of Illinois at Urbana–Champaign in 2014.

Publications Selected Works of George E Andrews (With Commentary) (World Scientific Publishing, 2012, ISBN 978-1-84816-666-0) Number Theory (Dover, 1994, ISBN 0-486-68252-8) The Theory of Partitions (Cambridge University Press, 1998, ISBN 0-521-63766-X) Integer Partitions (with Eriksson, Kimmo) (Cambridge University Press, 2004, ISBN 0-521-84118-6) Ramanujan's Lost Notebook: Part I (with Bruce C. Berndt) (Springer, 2005, ISBN 0-387-25529-X) Ramanujan's Lost Notebook: Part II, (with Bruce C. Berndt) (Springer, 2008, ISBN 978-0-387-77765-8) Ramanujan's Lost Notebook: Part III, (with Bruce C. Berndt) (Springer, 2012, ISBN 978-1-4614-3809-0) Ramanujan's Lost Notebook: Part IV, (with Bruce C. Berndt) (Springer, 2013, ISBN 978-1-4614-4080-2) "Special functions" by George Andrews, Richard Askey, and Ranjan Roy, Encyclopedia of Mathematics and Its Applications, The University Press, Cambridge, 1999.

References

External links George Andrews's homepage George Andrews publications indexed by Google Scholar George Andrews at the Mathematics Genealogy Project Publications by George Andrews at ResearchGate Author profile in the database zbMATH "The Meaning of Ramanujan and His Lost Notebook" by George E. Andrews, Center for Advanced Study, U. of Illinois at Urbana-Champaign, YouTube, 2014 "Partitions, Dyson, and Ramanujan" - George Andrews, videosfromIAS, YouTube, 2016

Illustrations

George Andrews (mathematician) illustration

Worked examples

Example 1 — a first encounter with George Andrews (mathematician)

Start with the simplest possible case. Write down what George Andrews (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 George Andrews (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 George Andrews (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 George Andrews (mathematician)

In research
George Andrews (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 George Andrews (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
George Andrews (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for George Andrews (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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “George Andrews (mathematician)” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study George Andrews (mathematician) in 20 minutes

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

Frequently asked questions

What is George Andrews (mathematician) in simple terms?

George Eyre Andrews (born December 4, 1938) is an American mathematician working in special functions, number theory, analysis and combinatorics. Education and career He is currently an Evan Pugh Professor of Mathematics at Pennsylvania State University.

Why does George Andrews (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 George Andrews (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 George Andrews (mathematician).

Tags

  • 1938 births
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • Academics from Salem, Oregon
  • Additive combinatorialists
  • American mathematical analysts
  • American number theorists
  • Fellows of the American Academy of Arts and Sciences
  • Fellows of the American Mathematical Society
  • Fellows of the Society for Industrial and Applied Mathematics
  • Living people
  • Mathematicians from Oregon

Keep exploring