mathematics

Ron Goldman (mathematician)

Ron Goldman (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 Ron Goldman (mathematician) rather than just read about it. In short: Ronald Neil Goldman is a professor of Computer Science at Rice University in Houston, Texas. Professor Goldman received his B.S. in mathematics from the Massachusetts Institute of Technology in 1968 and his M.A. and Ph.D. in mathematics from Johns Hopkins University in 1973.

Key takeaways

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

Reference excerpt

Ronald Neil Goldman is a professor of Computer Science at Rice University in Houston, Texas. Professor Goldman received his B.S. in mathematics from the Massachusetts Institute of Technology in 1968 and his M.A. and Ph.D. in mathematics from Johns Hopkins University in 1973. Goldman's current research interests lie in the mathematical representation, manipulation, and analysis of shape using computers. His work includes research in computer-aided geometric design, solid modeling, computer graphics, and splines. He is particularly interested in algorithms for polynomial and piecewise polynomial curves and surfaces, and he is currently investigating applications of algebraic and differential geometry to geometric modeling. He has published over a hundred articles in journals, books, and conference proceedings on these and related topics. Before returning to academia, Goldman worked for 10 years in industry solving problems in computer graphics, geometric modeling, and computer aided design. He served as a mathematician at Manufacturing Data Systems Inc., where he helped to implement one of the first industrial solid modeling systems. Later he worked as a senior design engineer at Ford Motor Company, enhancing the capabilities of their corporate graphics and computer-aided design software. From Ford he moved on to Control Data Corporation, where he was a principal consultant for the development group devoted to computer-aided design and manufacture. His responsibilities included database design, algorithms, education, acquisitions, and research. Goldman left Control Data Corporation in 1987 to become an associate professor of computer science at the University of Waterloo in Ontario, Canada. He joined the faculty at Rice University in Houston, Texas as a professor of computer science in July 1990.

Selected publications Goldman, Ron (2002). Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling. Morgan Kaufmann. ISBN 9781558603547. Goldman, Ron (2009). An Integrated Introduction to Computer Graphics and Geometric Modeling. CRC Press. ISBN 9781439803349.

References

Worked examples

Example 1 — a first encounter with Ron Goldman (mathematician)

Start with the simplest possible case. Write down what Ron Goldman (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 Ron Goldman (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 Ron Goldman (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 Ron Goldman (mathematician)

In research: Ron Goldman (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 Ron Goldman (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: Ron Goldman (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics American computer scientists, American mathematicians, Johns Hopkins University alumni, so understanding it makes those chapters shorter.
In everyday life: Look for Ron Goldman (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.

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How to study Ron Goldman (mathematician) in 20 minutes

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

Frequently asked questions

What is Ron Goldman (mathematician) in simple terms?

Why does Ron Goldman (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 Ron Goldman (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 Ron Goldman (mathematician).