mathematics

Stanley Farlow

Stanley Farlow 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 Stanley Farlow rather than just read about it. In short: Stanley Jerome Farlow (born 1937) is an American mathematician specializing in differential equations. For many years he has been a professor at the University of Maine.

Key takeaways

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

Reference excerpt

Stanley Jerome Farlow (born 1937) is an American mathematician specializing in differential equations. For many years he has been a professor at the University of Maine.

Life Farlow earned a bachelor's degree in physics at Iowa State University and a master's degree in mathematics at the University of Iowa. From 1962 to 1968 he was a lieutenant commander in the PHS, completing his Ph.D. in mathematics at Oregon State University in 1967. His doctoral supervisor was Ronald Bernard Guenther, and his doctoral dissertation was on Existence Theorems for Periodic Solutions of Parabolic Partial Differential Equations. He is currently a Professor Emeritus of Mathematics at the University of Maine.

Books Farlow is the author of several books in mathematics, including

Partial Differential Equations for Scientists and Engineers (Wiley, 1982; Russian translation, Moscow: Mir, 1985; Dover, 1993) Applied Mathematics for Management, Life Science, and Social Science (with Gary M. Haggard, Random House, 1988) Finite Mathematics and Its Applications (with Gary M. Haggard, Random House, 1988; 2nd ed., McGraw Hill, 1994) Introduction to Calculus with Applications (with Gary M. Haggard, McGraw Hill, 1990) An Introduction to Differential Equations and Their Applications (McGraw Hill, 1994; Dover, 2006) Differential Equations and Linear Algebra (with James E. Hall, Jean Marie Mc Dill, and Beverly H. West, Prentice Hall, 2002) Paradoxes in Mathematics (Dover, 2014) Advanced Mathematics: A Transitional Reference (Wiley, 2020) He is also the editor of:

Self-Organizing Methods in Modeling: GMDH Type Algorithms (Marcel Dekker, 1984)

References

Worked examples

Example 1 — a first encounter with Stanley Farlow

Start with the simplest possible case. Write down what Stanley Farlow 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 Stanley Farlow 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 Stanley Farlow 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 Stanley Farlow

In research: Stanley Farlow 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 Stanley Farlow 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: Stanley Farlow is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 20th-century American mathematicians, 20th-century American writers, so understanding it makes those chapters shorter.
In everyday life: Look for Stanley Farlow 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 Stanley Farlow in 20 minutes

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

Frequently asked questions

What is Stanley Farlow in simple terms?

Stanley Jerome Farlow (born 1937) is an American mathematician specializing in differential equations. For many years he has been a professor at the University of Maine.

Why does Stanley Farlow 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 Stanley Farlow?

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 Stanley Farlow.