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Ivan S. Sokolnikoff

Ivan S. Sokolnikoff is a astronomy 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 Ivan S. Sokolnikoff rather than just read about it. In short: Ivan Stephan Sokolnikoff (1901, Chernigov Province, Russian Empire – 16 April 1976, Santa Monica) was a Russian-American applied mathematician, who specialized in elasticity theory and wrote several mathematical textbooks for engineers and physicists. Biography Born to a wealthy family in Tsarist Russia, Ivan Sokolnikoff was educated by private tutors and at Anders Classical Gymnasium in Kiev.

Key takeaways

  • Ivan S. Sokolnikoff belongs to astronomy; place it in that map before memorising details.
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  • Reproduce the core statement of Ivan S. Sokolnikoff from memory before moving on to harder problems.

Reference excerpt

Ivan Stephan Sokolnikoff (1901, Chernigov Province, Russian Empire – 16 April 1976, Santa Monica) was a Russian-American applied mathematician, who specialized in elasticity theory and wrote several mathematical textbooks for engineers and physicists.

Biography Born to a wealthy family in Tsarist Russia, Ivan Sokolnikoff was educated by private tutors and at Anders Classical Gymnasium in Kiev. During the Russian Revolution, as a Tsarist naval officer, he was wounded in combat off the Kuril Islands. With the victory of the Reds, he became a refugee in China. There he worked for a subsidiary of an American electrical firm until 1922 when he became an American immigrant in Seattle. In 1922 he matriculated at the University of Idaho and graduated there with an electrical engineering degree in 1926. In 1930 he received his doctorate in mathematics from the University of Wisconsin-Madison. His doctoral dissertation On a Solution of Laplace's Equation with an Application to the Torsion Problem for a Polygon with Reentrant Angles was written under the supervision of Herman William March. In June 1931 Sokolnikoff married Elizabeth Thatcher Stafford. During the years from 1931 to 1941, they wrote 5 significant papers together, as well as the classic textbook Higher Mathematics for Physicists and Engineers. He joined the mathematics department of the University of Wisconsin–Madison as an instructor in 1927 and was promoted to full professor in 1941. At Wisconsin he was a member of the mathematics faculty until 1944. During WW II Sokolnikoff lived in New York and Washington and did research on ship gun fire-control for the National Defense Research Council. While Sokolnikoff was on the East Coast, Elizabeth Stafford Sokolnikoff taught mathematics and remained in Madison, Wisconsin. Along with mathematical professors William LeRoy Hart (1892–1984) of the University of Minnesota and William Thomas Reid (1907–1977) of the University of Chicago, he organized a pre-meteorology program in which a number of academic institutions trained meteorologists for the U.S. armed forces. In 1946 he became a mathematics professor at the University of California at Los Angeles (UCLA). There he retired as professor emeritus in 1965. In 1947 he divorced his first wife and married Ruth Lawyer in December of that year. Sokolnikoff was twice a visiting professor at Brown University. He was also twice a Guggenheim Fellow. His Guggenheim Fellowship for the academic year 1952-1953 was spent partly at the Royal Holloway College, London University and partly at the Free University of Brussels. His Guggenheim Fellowship for the academic year 1959–1960 was spent at the Swiss Federal Institute of Technology in Zürich. For the academic year 1962–1963 he held a Fulbright lecturing fellowship at Ankara's Middle East Technical University.

The textbook written with Elizabeth Stafford was for many years the leading book in the field, and practically an entire generation of young engineers and physicists was mathematically raised on it. Another generation was raised on a new treatment of material on the same level written jointly with Professor Redheffer of the U.C.L.A. mathematics department. Ivan's treatise, The Mathematical Theory of Elasticity, in its several editions, has been for years the leading book on the subject. It has had worldwide acceptance by students and researchers and holds place as a worthy successor and complement to the now classical books by Love and Timoshenko. This was true also for his graduate text, Tensor Analysis and the text on Advanced Calculus. He was an editor of the Quarterly Journal of Applied Mechanics and of the prestigious John Wiley Series in Applied Mathematics. Ivan Sokolnikoff married (2nd)Ruth Lawyer in December 1947. Their daughter, Katherine Sokolnikoff was born April 15, 1949 in Los Angeles, California. Upon his death he was survived by his widow and a daughter.

Selected publications

Articles Sokolnikoff, I. S. (1931). "On a solution of Laplace's equation with an application to the torsion problem for a polygon with reentrant angles". Transactions of the American Mathematical Society. 33 (3): 719–732. doi:10.1090/S0002-9947-1931-1501612-5. ISSN 0002-9947. ——; Sokolnikoff, E. S. (1938). "Torsion of regions bounded by circular arcs". Bulletin of the American Mathematical Society. 44 (6): 384–388. doi:10.1090/S0002-9904-1938-06759-6. ISSN 0002-9904. ——; Sokolnikoff, E. S. (1939). "Thermal Stresses in Elastic Plates". Transactions of the American Mathematical Society. 45 (2): 235–255. doi:10.1090/S0002-9947-1939-1501989-8. ISSN 0002-9947. JSTOR 1990115. ——; Specht, R. D. (1943). "Two-Dimensional Boundary Value Problems in Potential Theory". Journal of Applied Physics. 14 (2): 91–95. Bibcode:1943JAP....14...91S. doi:10.1063/1.1714955. ISSN 0021-8979. —— (1942). "Some new methods of solution of two-dimensional problems in elasticity". Bulletin of the American Mathematical Society. 48 (8): 539–556. doi:10.1090/S0002-9904-1942-07724-X. ISSN 0002-9904. ——; Specht, R. D. (1943). "Two-Dimensional Boundary Value Problems in Potential Theory". Journal of Applied Physics. 14 (2): 91–95. Bibcode:1943JAP....14...91S. doi:10.1063/1.1714955. ISSN 0021-8979. —— (1951). "Organized Research in the USSR". The Scientific Monthly. 72 (3): 164–168. Bibcode:1951SciMo..72..164S. ISSN 0096-3771. JSTOR 20223.

Books with Elizabeth Stafford Sokolnikoff: Higher Mathematics for Engineers and Physicists , McGraw Hill, 1934, 2nd edition 1941 Advanced Calculus , McGraw Hill 1939 The Mathematical Theory of Elasticity , McGraw Hill, 1946, 2nd edition 1956 Tensor Analysis - theory and applications to geometry and mechanics of continua , Wiley 1951, 2nd edition 1964 with Raymond Redheffer: Mathematics of physics and modern engineering, McGraw Hill 1958, 2nd edition 1966

References

Worked examples

Example 1 — a first encounter with Ivan S. Sokolnikoff

Start with the simplest possible case. Write down what Ivan S. Sokolnikoff claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Ivan S. Sokolnikoff 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 Ivan S. Sokolnikoff 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 Ivan S. Sokolnikoff

In research
Ivan S. Sokolnikoff appears in astronomy 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 Ivan S. Sokolnikoff 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
Ivan S. Sokolnikoff is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1901 births, 1976 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Ivan S. Sokolnikoff 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 Ivan S. Sokolnikoff in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Ivan S. Sokolnikoff means in your own words.
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Frequently asked questions

What is Ivan S. Sokolnikoff in simple terms?

Ivan Stephan Sokolnikoff (1901, Chernigov Province, Russian Empire – 16 April 1976, Santa Monica) was a Russian-American applied mathematician, who specialized in elasticity theory and wrote several mathematical textbooks for engineers and physicists. Biography Born to a wealthy family in Tsarist R…

Why does Ivan S. Sokolnikoff matter?

Because it connects several astronomy 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 Ivan S. Sokolnikoff?

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 Ivan S. Sokolnikoff.

Tags

  • 1901 births
  • 1976 deaths
  • 20th-century American mathematicians
  • 20th-century Russian mathematicians
  • Applied mathematicians
  • Russian emigrants to the United States
  • University of California, Los Angeles faculty
  • University of Idaho alumni
  • University of Wisconsin–Madison College of Letters and Science alumni
  • University of Wisconsin–Madison faculty

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