astronomy

Harold Stark

Harold Stark is a astronomy 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 Harold Stark rather than just read about it. In short: Harold Mead Stark (born August 6, 1939) is an American mathematician, specializing in number theory. He is best known for his solution of the Gauss class number 1 problem, in effect correcting and completing the earlier work of Kurt Heegner, and for Stark's conjecture.

Key takeaways

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

Reference excerpt

Harold Mead Stark (born August 6, 1939) is an American mathematician, specializing in number theory. He is best known for his solution of the Gauss class number 1 problem, in effect correcting and completing the earlier work of Kurt Heegner, and for Stark's conjecture. More recently, he collaborated with Audrey Terras to study zeta functions in graph theory. He is currently on the faculty of the University of California, San Diego. Stark received his bachelor's degree from the California Institute of Technology in 1961 and his PhD from the University of California, Berkeley in 1964. He was on the faculty at the University of Michigan from 1964 to 1968, at the Massachusetts Institute of Technology from 1968 to 1980, and at the University of California, San Diego from 1980 to the present. Stark was elected to the American Academy of Arts and Sciences in 1983 and to the United States National Academy of Sciences in 2007. In 2012, he became a fellow of the American Mathematical Society.

Selected publications Stark, Harold M. (1978). An Introduction to Number Theory. Cambridge: MIT Press. ISBN 978-0-262-69060-7.; 1970 edition. Markham Publishing Co.

Worked examples

Example 1 — a first encounter with Harold Stark

Start with the simplest possible case. Write down what Harold Stark claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Harold Stark 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 Harold Stark 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 Harold Stark

In research: Harold Stark appears in astronomy 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 Harold Stark 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: Harold Stark is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Harold Stark 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 Harold Stark in 20 minutes

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

Frequently asked questions

What is Harold Stark in simple terms?

Why does Harold Stark matter?

Because it connects several astronomy 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 Harold Stark?

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 Harold Stark.