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Kenneth I. Gross

Kenneth I. Gross 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 Kenneth I. Gross rather than just read about it. In short: Kenneth Irwin Gross (14 October 1938 – 10 September 2017) was an American mathematician. Born in Malden, Massachusetts in 1938, Gross received from Brandeis University his bachelor's degree in 1960 and his master's degree in 1962.

Kenneth I. Gross — main illustration
Kenneth I. Gross — illustration

Key takeaways

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

Reference excerpt

Kenneth Irwin Gross (14 October 1938 – 10 September 2017) was an American mathematician. Born in Malden, Massachusetts in 1938, Gross received from Brandeis University his bachelor's degree in 1960 and his master's degree in 1962. He received his Ph.D. in 1966 from Washington University in St. Louis under Ray Kunze with thesis Plancherel Transform of the Nilpotent Part of G 2 {\displaystyle G_{2}} and Some Applications to the Representation Theory of G 2 {\displaystyle G_{2}} . He was an assistant professor from 1966 to 1968 at Tulane University and an assistant professor from 1968 to 1973 at Dartmouth College. He became in 1973 an associate professor and eventually a full professor at the University of North Carolina before resigning in 1981. From 1981 to 1985 he was the chair of the mathematics department of the University of Wyoming. In 1988 Gross became a professor at the University of Vermont, where he served as chair of the department of mathematics and statistics from 1988 to 1992. On a leave of absence he was for two years (2003–2005) at Lesley University, where he developed the mathematics program. Gross has been a visiting professor at the University of California, Irvine, the University of Utah, the Academia Sinica in Taiwan, Drexel University, Macquarie University, and Australia's University of Newcastle. He has twice served as a divisional program director for the National Science Foundation. He was the director of the Vermont Mathematics Initiative. He did research on harmonic analysis, group representation theory, analysis on Lie groups and homogeneous spaces, special functions, Fourier analysis, and mathematical applications to physics and multivariate statistics. In 1979 he received the Lester Randolph Ford Award. In 1981 he received the Chauvenet Prize from the Mathematical Association of America. In 2008 he received a Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics. In 2012 he was elected a Fellow of the American Mathematical Society. He died on 10 September 2017 at the age of 78.

Selected publications as editor: The mathematics of energy research, SIAM 1984 with Donald St. P. Richards: Gross, Kenneth I.; Richards, Donald St. P. (1991). "Hypergeometric functions on complex matrix space". Bull. Amer. Math. Soc. (N.S.). 24 (2): 349–355. doi:10.1090/s0273-0979-1991-16031-3. MR 1071029. Harmonic Analysis, Encyclopedia of the History and Philosophy of the Mathematical Sciences, Routledge, 1994, vol. 1, pp. 395–418 as editor with D.S.P. Richards, P. Sally, T. Ton-That Representation theory and harmonic analysis, Contemporary Mathematics, vol. 191, American Mathematical Society 1995 editor with R. Ewing, C. Martin: The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics, Springer Verlag 1986

External links Homepage at the U. of Vermont

References

Illustrations

Kenneth I. Gross illustration

Worked examples

Example 1 — a first encounter with Kenneth I. Gross

Start with the simplest possible case. Write down what Kenneth I. Gross 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 Kenneth I. Gross 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 Kenneth I. Gross 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 Kenneth I. Gross

In research
Kenneth I. Gross 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 Kenneth I. Gross 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
Kenneth I. Gross is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 2017 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Kenneth I. Gross 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 Kenneth I. Gross in 20 minutes

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

Frequently asked questions

What is Kenneth I. Gross in simple terms?

Kenneth Irwin Gross (14 October 1938 – 10 September 2017) was an American mathematician. Born in Malden, Massachusetts in 1938, Gross received from Brandeis University his bachelor's degree in 1960 and his master's degree in 1962.

Why does Kenneth I. Gross 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 Kenneth I. Gross?

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 Kenneth I. Gross.

Tags

  • 1938 births
  • 2017 deaths
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • American mathematical analysts
  • Brandeis University alumni
  • Fellows of the American Mathematical Society
  • Lesley University faculty
  • People from Malden, Massachusetts
  • University of Vermont faculty
  • Washington University in St. Louis alumni

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