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Raymond O. Wells Jr.

Raymond O. Wells Jr. 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 Raymond O. Wells Jr. rather than just read about it. In short: Raymond O'Neil Wells Jr. (born 1940), "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets.

Raymond O. Wells Jr. — main illustration
Raymond O. Wells Jr. — illustration

Key takeaways

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

Reference excerpt

Raymond O'Neil Wells Jr. (born 1940), "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets. Wells received his BA from Rice University in 1962 and his Ph.D. in 1965 from New York University under the supervision of Lipman Bers (On the local holomorphic hull of a real submanifold in several complex variables). He was Professor of Mathematics at Rice University, where he served as chairman of the Department of Mathematics. After becoming Professor Emeritus from Rice, he co-founded the Jacobs University Bremen. He was Professor of Mathematics and Vice-President of External Affairs. He has written books on twistors, wavelets, and analysis on complex manifolds. In 1970–71 and 1979–80, he was at the Institute for Advanced Study in Princeton, New Jersey. From 1974 to 1975 he was a Guggenheim Fellow and received the Humboldt Senior Scientist Award. He was editor of the Transactions of the American Mathematical Society. He is a fellow of the American Mathematical Society.

Writings Differential and Complex Analysis: Origins, Abstractions and Embeddings, Springer 2017. Differential Analysis on Complex Manifolds, Prentice–Hall 1973, 2nd Ed. Springer Verlag 1980, 3rd Ed. 2008. With Howard L. Resnikoff Mathematics in Civilization, Holt, Rinehart and Winston 1973, 2nd Ed. Dover Publications 1984, 3rd Ed. Dover Publications 2015. Complex Geometry in Mathematical Physics, Presses de L'Université Montréal, 1982. With Howard L. Resnikoff, Wavelet Analysis – The Scalable Structure of Information, Springer Verlag 1998 With Richard S. Ward, Twistor Geometry and Field Theory, Cambridge University Press 1990. Editor Several Complex Variables, two volumes, Symposium in Pure Mathematics, American Mathematical Society, 1977. Part 1 With Joseph A. Wolf, Poincaré series and automorphic cohomology on flag manifolds, Annals of Mathematics 105 (1977), 397–448. doi:10.2307/1970918 With Daniel M. Burns and Steven Shnider, Deformations of strictly pseudoconvex domains, Inventiones Mathematicae 46 (1978), 237–253. doi:10.1007/BF01390277 Wells Jr, R. O. (1979). "Complex manifolds and mathematical physics". Bulletin of the American Mathematical Society. 1 (2): 296–336. doi:10.1090/S0273-0979-1979-14596-8. ISSN 0273-0979. With Michael G. Eastwood and Roger Penrose, Eastwood, Michael G.; Penrose, Roger; Wells, R. O. (1981). "Cohomology and massless fields". Communications in Mathematical Physics. 78 (3): 305–351. Bibcode:1981CMaPh..78..305E. doi:10.1007/BF01942327. ISSN 0010-3616. S2CID 121012779. Wells Jr, R. O. (1982). "The Cauchy-Riemann equations and differential geometry". Bulletin of the American Mathematical Society. 6 (2): 187–199. doi:10.1090/S0273-0979-1982-14976-X. ISSN 0273-0979.

References

External links Homepage Blog Conference on his 65th Birthday at Jacobs University Raymond O. Wells Jr. at the Mathematics Genealogy Project

Illustrations

Raymond O. Wells Jr.: R. O. Wells Jr.
R. O. Wells Jr.

Worked examples

Example 1 — a first encounter with Raymond O. Wells Jr.

Start with the simplest possible case. Write down what Raymond O. Wells Jr. 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 Raymond O. Wells Jr. 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 Raymond O. Wells Jr. 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 Raymond O. Wells Jr.

In research
Raymond O. Wells Jr. 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 Raymond O. Wells Jr. 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
Raymond O. Wells Jr. is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1940 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Raymond O. Wells Jr. 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 Raymond O. Wells Jr. in 20 minutes

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

Frequently asked questions

What is Raymond O. Wells Jr. in simple terms?

Raymond O'Neil Wells Jr. (born 1940), "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets.

Why does Raymond O. Wells Jr. 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 Raymond O. Wells Jr.?

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 Raymond O. Wells Jr..

Tags

  • 1940 births
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • Complex analysts
  • Fellows of the American Mathematical Society
  • Living people
  • New York University alumni
  • Rice University alumni
  • Rice University faculty

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