mathematics

Mark J. Ablowitz

Mark J. Ablowitz 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 Mark J. Ablowitz rather than just read about it. In short: Mark Jay Ablowitz (born 1945) is a professor in the department of Applied Mathematics at the University of Colorado at Boulder, Colorado. Education Ablowitz was born on June 5, 1945, in New York City.

Key takeaways

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

Reference excerpt

Mark Jay Ablowitz (born 1945) is a professor in the department of Applied Mathematics at the University of Colorado at Boulder, Colorado.

Education Ablowitz was born on June 5, 1945, in New York City. He received his Bachelor of Science degree in mechanical engineering from the University of Rochester in 1967, and completed his Ph.D. in mathematics under the supervision of David Benney at the Massachusetts Institute of Technology in 1971.

Career and research Ablowitz was an assistant professor of mathematics at Clarkson University during 1971–1975 and an associate professor during 1975–1976. He visited the Program in Applied Mathematics founded by Ahmed Cemal Eringen at Princeton University during 1977–1978. He was a professor of mathematics at Clarkson during 1976–1985, where he became the Chairman of the Department of Mathematics and Computer Science in 1979. On July 1, 1985, he was appointed as the Dean of Science of Clarkson University and served there until he joined to the department of Applied Mathematics (APPM) at University of Colorado Boulder on June 30, 1989.

Awards and honors Sloan Fellowship, 1975–1977. Clarkson Graham Research Award, 1976. John Simon Guggenheim Foundation Fellowship, 1984. SIAM Fellow, 2011. National Academy of Sciences Symposium on Soliton Theory Kiev, USSR 1979. Fellow of the American Mathematical Society, 2012.

Publications Solitons and the Inverse Scattering Transform, M.J. Ablowitz and H. Segur, (SIAM Studies in Applied Mathematics) 1981 Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, Eds. M.J. Ablowitz, B. Fuchssteiner and M. D. Kruskal, (World Scientific) 1987 Solitons, Nonlinear Evolution Equations and Inverse Scattering, M.J. Ablowitz and P.A. Clarkson, (London Mathematical Society Lecture Notes Series, 516 pages, (Cambridge University Press, Cambridge, UK, 1991) Complex Variables: Introduction and Applications, Mark J. Ablowitz and A. S. Fokas, (Cambridge University Press, Cambridge, UK, 1997) Nonlinear Physics: Theory and Experiment. II, M.J. Ablowitz, M. Boiti, F. Pempinelli and B. Prinari, (World Scientific 2003) Discrete and Continuous Nonlinear Schrödinger Systems, Mark J. Ablowitz, B. Prinari and D. Trubatch, 258 (Cambridge University Press, Cambridge, UK, 2004) Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons, Mark J. Ablowitz, (Cambridge University Press, Cambridge, UK, 2011)

References

Worked examples

Example 1 — a first encounter with Mark J. Ablowitz

Start with the simplest possible case. Write down what Mark J. Ablowitz 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 Mark J. Ablowitz 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 Mark J. Ablowitz 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 Mark J. Ablowitz

In research: Mark J. Ablowitz 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 Mark J. Ablowitz 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: Mark J. Ablowitz is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1945 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Mark J. Ablowitz 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 Mark J. Ablowitz in 20 minutes

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

Frequently asked questions

What is Mark J. Ablowitz in simple terms?

Mark Jay Ablowitz (born 1945) is a professor in the department of Applied Mathematics at the University of Colorado at Boulder, Colorado. Education Ablowitz was born on June 5, 1945, in New York City.

Why does Mark J. Ablowitz 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 Mark J. Ablowitz?

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 Mark J. Ablowitz.