mathematics

Nassif Ghoussoub

Nassif Ghoussoub 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 Nassif Ghoussoub rather than just read about it. In short: Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations.

Key takeaways

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

Reference excerpt

Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations. He is a Professor of Mathematics and a Distinguished University Scholar at the University of British Columbia.

Early life and education Ghoussoub was born to Lebanese parents in Western Africa (now Mali). He completed his doctorat 3ème cycle (PhD) in 1975, and a Doctorat d'Etat in 1979 at the Pierre and Marie Curie University, where his advisors were Gustave Choquet and Antoine Brunel.

Career Ghoussoub completed his post-doctoral fellowship at the Ohio State University during 1976–77. He then joined the University of British Columbia, where he currently holds a position of Professor of Mathematics and a Distinguished University Scholar. Ghoussoub is known for his work in functional analysis, non-linear analysis, and partial differential equations. He was vice-president of the Canadian Mathematical Society from 1994 to 1996, the founding director of the Pacific Institute for the Mathematical Sciences (PIMS) for the period 1996–2003, the co-editor-in-chief of the Canadian Journal of Mathematics during 1993–2002, a co-founder of the MITACS Network of Centres of Excellence, and is the founder and scientific director (2001 - 2020) of the Banff International Research Station (BIRS). In 1994, Ghoussoub became a fellow of the Royal Society of Canada, and in 2012, a fellow of the American Mathematical Society. Ghoussoub has been awarded multiple awards and distinctions, including the Coxeter-James prize in 1990, and the Jeffrey-Williams prize in 2007. He holds honorary doctorates from the Université Paris-Dauphine (France), and the University of Victoria (Canada). He was awarded the Queen Elizabeth II Diamond Jubilee Medal in 2012, and appointed to the Order of Canada in 2015, with the grade of officer for contributions to mathematics, research, and education. In 2018, Ghoussoub was elected a faculty representative on the University of British Columbia's Board of Governors. He will serve until February 29, 2020. Ghoussoub has previously served two consecutive terms in this role from 2008 to 2014. Ghoussoub's scholarly work has been cited over 5,900 times and has an h-index of 40.

Awards Coxeter-James Prize, Canadian Mathematical Society (1990) Killam Senior Research Fellowship, UBC (1992) Fellow of the Royal Society of Canada (1994) Distinguished University Scholar, UBC (2003) Doctorat Honoris Causa, Paris Dauphine University Jeffery–Williams Prize, Canadian mathematical Society (2007) Faculty of Science Achievement Award for outstanding service and leadership, UBC (2007) David Borwein Distinguished Career Award, Canadian Mathematical Society (2010) Fellow of the American Mathematical Society (2012) Queen Elizabeth II Diamond Jubilee Medal (2012) Honorary Doctor of Science-University of Victoria (June 2015) Officer of the Order of Canada (December 2015) Inaugural fellow of the Canadian Mathematical Society, 2018

Bibliography

Selected Academic Publications Ghoussoub, N.; Preiss, D. (1989). "A general mountain pass principle for locating and classifying critical points". Annales de l'Institut Henri Poincaré C. 6 (5): 321–330. Bibcode:1989AIHPC...6..321G. doi:10.1016/s0294-1449(16)30313-4. ISSN 0294-1449. S2CID 53449063. Ghoussoub, N.; Gui, C. (1 July 1998). "On a conjecture of De Giorgi and some related problems". Mathematische Annalen. 311 (3): 481–491. doi:10.1007/s002080050196. ISSN 0025-5831. S2CID 120215307. Ghoussoub, N.; Yuan, C. (6 July 2000). "Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents". Transactions of the American Mathematical Society. 352 (12): 5703–5743. doi:10.1090/s0002-9947-00-02560-5. ISSN 0002-9947. Ekeland, Ivar; Ghoussoub, Nassif (4 January 2002). "Selected new aspects of the calculus of variations in the large". Bulletin of the American Mathematical Society. 39 (2): 207–265. doi:10.1090/s0273-0979-02-00929-1. ISSN 0273-0979. Ghoussoub, Nassif; Guo, Yujin (2007). "On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case". SIAM Journal on Mathematical Analysis. 38 (5): 1423–1449. arXiv:math/0509534. doi:10.1137/050647803. ISSN 0036-1410. S2CID 10221543.

Books Ghoussoub, N.; Moradifam, Amir (2013). Functional inequalities : new perspectives and new applications. Providence, Rhode Island. ISBN 978-0-8218-9152-0. OCLC 823209440.{{cite book}}: CS1 maint: location missing publisher (link) Ghoussoub, Nassif; Guo, Yujin (2010). Mathematical analysis of partial differential equations modeling electrostatic MEMS. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-4957-6. OCLC 466771715. Ghoussoub, N. (2008). Self-dual partial differential systems and their variational principles. New York: Springer. ISBN 978-0-387-84896-9. OCLC 258078803. Ghoussoub, N.; Cambridge University Press (1993). Duality and Perturbation Methods in Critical Point Theory. Cambridge: Cambridge University Press. ISBN 978-0-511-55170-3. OCLC 668203489.

See also Banff International Research Station

References

External links Nassif Ghoussoub's homepage Piece of Mind, Nassif's personal blog A biography

Illustrations

Worked examples

Example 1 — a first encounter with Nassif Ghoussoub

Start with the simplest possible case. Write down what Nassif Ghoussoub 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 Nassif Ghoussoub 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 Nassif Ghoussoub 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 Nassif Ghoussoub

In research: Nassif Ghoussoub 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 Nassif Ghoussoub 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: Nassif Ghoussoub is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century Canadian mathematicians, 21st-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nassif Ghoussoub 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 Nassif Ghoussoub in 20 minutes

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Frequently asked questions

What is Nassif Ghoussoub in simple terms?

Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations.

Why does Nassif Ghoussoub 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 Nassif Ghoussoub?

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 Nassif Ghoussoub.