mathematics

Hansraj Gupta

Hansraj Gupta 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 Hansraj Gupta rather than just read about it. In short: Hansraj Gupta (9 October 1902 – 23 November 1988) was an Indian mathematician specialising in number theory, in particular the study of the partition function. Biography Gupta was born 9 October 1902 in Rawalpindi, then part of British India.

Key takeaways

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

Reference excerpt

Hansraj Gupta (9 October 1902 – 23 November 1988) was an Indian mathematician specialising in number theory, in particular the study of the partition function.

Biography Gupta was born 9 October 1902 in Rawalpindi, then part of British India. His father was Gulraj Gupta, an executive engineer with the Bombay, Baroda and Central India Railway. He studied at the Panjab University in Lahore, where he graduated with a M.A. in 1925. In 1928 he became a lecturer at the Government College in Hoshiarpur. He received his Ph.D. from the Panjab University in 1936. By then he had already published several papers on partitions. Gupta was elected a fellow of the Indian National Science Academy (INSA) in 1950. He became head of the Panjab University's new department of mathematics in 1954. He served as president of the Indian Mathematical Society (IMS) for the term 1963–64. He retired as director of the Centre of Advanced Study in Mathematics in 1966, by which time he was already travelling North America as a visiting professor: at the University of Colorado at Boulder (1962), the University of Arizona (1966), and the University of Alberta (1969). He represented the INSA at the 1974 International Congress of Mathematicians in Vancouver. He continued actively researching and publishing mathematics for many years after retirement. Gupta died 23 November 1988. Since 1990 the annual IMS conference has included a lecture in his honour, the Hansraj Gupta Memorial Award Lecture.

Selected publications Gupta, Hansraj (1958). Tables of partitions. Royal Society mathematical tables. Cambridge University Press. OCLC 352054. Gupta, Hansraj (1960). Representations of primes by quadratic forms. Royal Society mathematical tables. Cambridge University Press. OCLC 20470993. Gupta, Hansraj; Singh, K. (December 1985). "On k-triad sequences". International Journal of Mathematics and Mathematical Sciences. 8 (4). Cairo: Hindawi Publishing Corporation: 799. doi:10.1155/S0161171285000886.

References

External links IMS biography

Worked examples

Example 1 — a first encounter with Hansraj Gupta

Start with the simplest possible case. Write down what Hansraj Gupta 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 Hansraj Gupta 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 Hansraj Gupta 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 Hansraj Gupta

In research: Hansraj Gupta 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 Hansraj Gupta 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: Hansraj Gupta is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1902 births, 1988 deaths, 20th-century Indian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hansraj Gupta 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 Hansraj Gupta in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Hansraj Gupta 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.
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Frequently asked questions

What is Hansraj Gupta in simple terms?

Hansraj Gupta (9 October 1902 – 23 November 1988) was an Indian mathematician specialising in number theory, in particular the study of the partition function. Biography Gupta was born 9 October 1902 in Rawalpindi, then part of British India.

Why does Hansraj Gupta 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 Hansraj Gupta?

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 Hansraj Gupta.