mathematics

Subbaramiah Minakshisundaram

Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram rather than just read about it. In short: Subbaramiah Minakshisundaram (12 October 1913 - 13 August 1968), also known as Minakshi or SMS, was an Indian mathematician who worked on partial differential equations and heat kernels. In 1946, he worked at the Institute for Advanced Study in Princeton, America, where he met Åke Pleijel.

Key takeaways

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Reference excerpt

Subbaramiah Minakshisundaram (12 October 1913 - 13 August 1968), also known as Minakshi or SMS, was an Indian mathematician who worked on partial differential equations and heat kernels. In 1946, he worked at the Institute for Advanced Study in Princeton, America, where he met Åke Pleijel. In 1949, the two wrote a paper together called, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, in which they introduced the Minakshisundaram-Pleijel zeta function. On the 13th of August 1968, Subbaramiah suffered a heart attack and died at the age of 55.

Biography

Early life Subbaramiah Minakshisundaram was the first of three children, born in 1913 and called "Jeja" by his parents, meaning God. In his early years he learned Malayalam, but when his family moved to Chennai because of his father's job as a sanitary engineer they spoke Tamil. His family were Hindus, and as a boy Minakshisundaram would chant the Gayatri Japa and perform the Sandhyavandanam with his grandfather every morning and night. In 1919, Minakshi attended the Calavala Ramanujam Chetty High School, where he displayed a "marked aptitude" for mathematics, and graduated in 1929 with a Secondary School Leaving Certificate. After graduating, he studied at Pachaiyappa's College and went to Loyola College in 1931 to pursue a B.A. in mathematics, which he attained in 1934.

Career After graduating from Loyola College, Subbaramiah joined the University of Madras as a research scholar and worked in the library. During his time at the University of Madras, Minakshi was influenced by K Ananda Rau, and began studying the summability of series. His first paper, Tauberian theorems on Dirichlet's series, was published in 1936 and expanded upon Rau's theorem. He followed this with two papers, both published in 1937: On the extension of a theorem of Caratheodory in the theory of Fourier series, and, The Fourier series of a sequence of functions.

Marriage On the 10th of May, 1937, Minakshisundaram married M Parvathi. They had three children together:

K Ramu (born 1943) K Girija (born 1945) K Radha (birthdate unknown)

Publications Minakshisundaram, S., & Szasz, O. (1947). On Absolute Convergence of Multiple Fourier Series. Transactions of the American Mathematical Society, 61(1), 36–53. https://doi.org/10.2307/1990288 Minakshisundaram, S., & Pleijel, Å. (1949). Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds. Canadian Journal of Mathematics, 1(3), 242-256. doi:10.4153/CJM-1949-021-5 Minakshisundaram, S. (1949). A Generalization of Epstein Zeta Functions. Canadian Journal of Mathematics, 1(4), 320-327. doi:10.4153/CJM-1949-029-3 Minakshisundaram, S., Chandrasekharan, K. (1952). Typical Means. India: Tata Institute of Fundamental Research, Bombay. Minakshisundaram, S. (1953). Eigenfunctions on Riemannian Manifolds. The Journal of the Indian Mathematical Society, 17(4), 159–165 Chandrasekharan, K., & Minakshisundaram, S. (1954). A Note on Typical Means. The Journal of the Indian Mathematical Society, 18(1), 107–114

Posthumous works Minakshisundaram, S. (2012). Collected Works of S. Minakshisundaram. India: Ramanujan Mathematical Society.

References

External links S. Minakshisundaram memorial society

Illustrations

Subbaramiah Minakshisundaram illustration

Worked examples

Example 1 — a first encounter with Subbaramiah Minakshisundaram

Start with the simplest possible case. Write down what Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram

In research: Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram 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: Subbaramiah Minakshisundaram is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1913 births, 1968 deaths, 20th-century Indian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Subbaramiah Minakshisundaram 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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Frequently asked questions

What is Subbaramiah Minakshisundaram in simple terms?

Why does Subbaramiah Minakshisundaram 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 Subbaramiah Minakshisundaram?

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 Subbaramiah Minakshisundaram.