ArticleslgStudy

mathematics

George Adomian

George Adomian 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 Adomian rather than just read about it. In short: George Adomian (1922 – June 17, 1996) was an American mathematician, aerospace engineer, and academic of Armenian descent. He developed the Adomian decomposition method (ADM) for solving nonlinear differential equations, both ordinary and partial.

Key takeaways

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

Reference excerpt

George Adomian (1922 – June 17, 1996) was an American mathematician, aerospace engineer, and academic of Armenian descent. He developed the Adomian decomposition method (ADM) for solving nonlinear differential equations, both ordinary and partial. The method is explained, among other places, in his book Solving Frontier Problems in Physics: The Decomposition Method (Kluwer, Dordrecht, 2004). He was educated at Cass Technical High School in Detroit. He earned a bachelor's and master's of science in electrical engineering at the University of Michigan and a PhD in physics from UCLA in 1961, advised by David Saxon. His dissertation was titled Linear Stochastic Operators. He was a professor at Pennsylvania State University from 1964-66, and then was Chair of Applied Mathematics at the University of Georgia (UGA) from 1966 through 1989. While at UGA, he started the Center for Applied Mathematics. He was a Fellow of the American Association for the Advancement of Science. He was also a member of the Society for Industrial and Applied Mathematics, American Mathematical Society, American Physical Society, Sigma Xi, Tau Beta Pi, Eta Kappa Nu, and Sigma Pi Sigma.

Selected works G. Adomian: Stochastic Systems, Academic Press, 1983. ISBN 0-12-044370-8 G. Adomian: Nonlinear Stochastic Operator Equations, Academic Press, 1986. ISBN 0-12-044375-9 G. Adomian: Nonlinear Stochastic Systems Theory and Applications to Physics, Kluwer Academic Publishers, 1989. ISBN 90-277-2525-X

External links Members of the Faculty of the Mathematics Department University of Georgia

References

Worked examples

Example 1 — a first encounter with George Adomian

Start with the simplest possible case. Write down what George Adomian 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 Adomian 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 Adomian 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 Adomian

In research
George Adomian 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 Adomian 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 Adomian is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1922 births, 1996 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for George Adomian 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 Adomian” →

Affiliate

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

How to study George Adomian in 20 minutes

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

Frequently asked questions

What is George Adomian in simple terms?

George Adomian (1922 – June 17, 1996) was an American mathematician, aerospace engineer, and academic of Armenian descent. He developed the Adomian decomposition method (ADM) for solving nonlinear differential equations, both ordinary and partial.

Why does George Adomian 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 Adomian?

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 Adomian.

Tags

  • 1922 births
  • 1996 deaths
  • 20th-century American mathematicians
  • American mathematician stubs
  • American people of Armenian descent
  • Cass Technical High School alumni
  • Mathematicians from Georgia (U.S. state)
  • Pennsylvania State University faculty
  • Scientists from Buffalo, New York
  • UCLA College of Letters and Science alumni
  • University of Georgia faculty
  • University of Georgia stubs

Keep exploring