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James Allister Jenkins

James Allister Jenkins 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 James Allister Jenkins rather than just read about it. In short: James Allister Jenkins (born 23 September 1923, Toronto, Ontario; – 16 September 2012, Lock Haven, Pennsylvania) was a Canadian–American mathematician, specializing in complex analysis. Early life James A.

Key takeaways

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

Reference excerpt

James Allister Jenkins (born 23 September 1923, Toronto, Ontario; – 16 September 2012, Lock Haven, Pennsylvania) was a Canadian–American mathematician, specializing in complex analysis.

Early life James A. Jenkins was born 23 September 1923 in Toronto, Ontario and grew up in what is now known as Davisville Village. His father, James Thomas Jenkins, was the head the mathematics department of Jarvis Collegiate Institute. His mother, Maude Zuern, taught high school classics prior to her wedding. The Jenkins family spent their summers at the family farmstead in Sugar Valley, Pennsylvania.

Education and career Jenkins attended Davisville Public School and Jarvis Collegiate Institute, the latter from which graduated in 1940. Showing promise from a young age, he won the Prince of Wales' prize, the Reuben Wells Leonard scholarship in general proficiency at University College, the Edward Blake scholarship in algebra, geometry, physics, and chemistry. However, he was required to give up many of the university scholarships he had won, as the regulations of the time allowed students to hold no more than two, including the First Edward Blake scholarship in French and Latin, First Edward Blake scholarship in French and German, the Edward Blake in any pair of French, German, Italian, and Spanish, and the second Edward Blake in mathematics and physics. He also won the first Carter scholarship for Toronto, separate from these university scholarships. Jenkins moved from Toronto to the United States to attend graduate school in mathematics at Harvard University. There he received his PhD in 1948 with thesis Some Problems in Complex Analysis under the supervision Lars Ahlfors, one of the first two Fields laureates. After some time at Harvard as a postdoc, Jenkins taught and did research at Johns Hopkins University for several years. He became, by 1955, a professor at the University of Notre Dame and, by 1963, a professor at Washington University in St. Louis, where he eventually retired as professor emeritus. He spent several sabbaticals at the Institute for Advanced Study. Jenkins was the author or coauthor of over 137 research publications in complex analysis. He coauthored 6 papers with Marston Morse. In their 1953 paper in Fundamenta Mathematicae, "Morse and Jenkins solve the difficult problem of showing that on a simply connected Riemann surface every pseudo-harmonic function has a pseudo-conjugate. Thus in particular they show that on such a surface any pseudo-harmonic function can be made harmonic by a change of the conformai structure." Morse and Jenkins basically settled "the simply connected case, where they extended and completed earlier work of Kaplan, Boothby and others ..." and then in their 1953 paper in the Proceedings of the National Academy of Sciences they discussed the same problems on doubly connected surfaces. "In particular they there give a very complete analysis of the structure of the level sets of a pseudo-harmonic function." In 1962 Jenkins was an Invited Speaker at the International Congress of Mathematicians in Stockholm.

Selected publications

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with James Allister Jenkins

Start with the simplest possible case. Write down what James Allister Jenkins 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 James Allister Jenkins 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 James Allister Jenkins 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 James Allister Jenkins

In research
James Allister Jenkins 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 James Allister Jenkins 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
James Allister Jenkins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1923 births, 2012 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for James Allister Jenkins 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 James Allister Jenkins in 20 minutes

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

Frequently asked questions

What is James Allister Jenkins in simple terms?

James Allister Jenkins (born 23 September 1923, Toronto, Ontario; – 16 September 2012, Lock Haven, Pennsylvania) was a Canadian–American mathematician, specializing in complex analysis. Early life James A.

Why does James Allister Jenkins 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 James Allister Jenkins?

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 James Allister Jenkins.

Tags

  • 1923 births
  • 2012 deaths
  • 20th-century American mathematicians
  • 20th-century Canadian mathematicians
  • 21st-century American mathematicians
  • 21st-century Canadian mathematicians
  • Canadian emigrants to the United States
  • Complex analysts
  • Harvard Graduate School of Arts and Sciences alumni
  • University of Notre Dame faculty
  • Washington University in St. Louis faculty

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