mathematics

I. Martin Isaacs

I. Martin Isaacs 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 I. Martin Isaacs rather than just read about it. In short: Irving Martin Isaacs (April 14, 1940 – February 17, 2025) was an American group theorist and representation theorist. He was a professor of mathematics at the University of Wisconsin–Madison.

Key takeaways

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

Reference excerpt

Irving Martin Isaacs (April 14, 1940 – February 17, 2025) was an American group theorist and representation theorist. He was a professor of mathematics at the University of Wisconsin–Madison.

Biography Isaacs was born in the Bronx, in New York City, on April 14, 1940. He received a BS from the Polytechnic Institute of Brooklyn in 1960. While a student there, he was named a Putnam Fellow for his performance in the 1959 William Lowell Putnam Mathematical Competition. Isaacs went on to Harvard University for graduate study. He received a master's degree in 1961, and completed his PhD in 1964. His thesis was advised by Richard Brauer, and was titled Finite p {\displaystyle p} -solvable linear groups. After a few years at the University of Chicago as an instructor and visiting assistant professor, Isaacs moved to the University of Wisconsin–Madison in 1969. He was hired as an associate professor, and promoted to full professor in 1971. According to the Mathematics Genealogy Project, he supervised 29 doctoral students over his career. In 2011, Isaacs retired and became a professor emeritus. In retirement, he lived in Berkeley, California and was an occasional participant on MathOverflow. Near the end of his life, he endowed a prize for "Excellence in Mathematical Writing," first awarded in 2025.

Work Isaacs is known as the author of graduate-level textbooks on character theory and group theory. His book Character Theory of Finite Groups has been described as a classic in the field. Isaacs is also known for formulating the Isaacs–Navarro conjecture along with Gabriel Navarro, a widely cited generalization of the McKay conjecture.

Personal life Isaacs was seriously injured in an automobile accident in France in 1964, shortly after receiving his PhD. The accident left him scarred and disabled. He died of kidney failure on February 17, 2025.

Awards and honors In 2009, a conference was held at the Universitat de Valencia in Spain to honor his contributions. Following the conference, a festschrift was published by the American Mathematical Society. Isaacs was the recipient of a Sloan Foundation research award in 1971. He was inaugurated as a Fellow of the American Mathematical Society in 2013. Isaacs was a Pólya lecturer for the Mathematical Association of America between 2003 and 2005.

Books Isaacs, I. Martin (1976). Character Theory of Finite Groups. Academic Press. ISBN 0123745500. (reprinted by Dover Publications in 1994, reprinted by the American Mathematical Society in 2006 ISBN 0821842293) Isaacs, I. Martin (1994). Algebra: A Graduate Course. Brooks Cole. ISBN 0534190022. (reprinted by the American Mathematical Society in 2009 ISBN 0821847996) Isaacs, I. Martin (2001). Geometry for College Students. Pure and Applied Mathematics 8. Brooks Cole. ISBN 0534351794. (reprinted by the American Mathematical Society in 2009 ISBN 0821847945) Isaacs, I. Martin (2008). Finite Group Theory. American Mathematical Society. ISBN 0821843443. 2011 reprint with corrections Isaacs, I. Martin (2018). Characters of Solvable Groups. American Mathematical Society. ISBN 9781470434854.

References

Illustrations

Worked examples

Example 1 — a first encounter with I. Martin Isaacs

Start with the simplest possible case. Write down what I. Martin Isaacs 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 I. Martin Isaacs 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 I. Martin Isaacs 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 I. Martin Isaacs

In research: I. Martin Isaacs 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 I. Martin Isaacs 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: I. Martin Isaacs is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1940 births, 2025 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for I. Martin Isaacs 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 I. Martin Isaacs in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what I. Martin Isaacs means in your own words.
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Frequently asked questions

What is I. Martin Isaacs in simple terms?

Irving Martin Isaacs (April 14, 1940 – February 17, 2025) was an American group theorist and representation theorist. He was a professor of mathematics at the University of Wisconsin–Madison.

Why does I. Martin Isaacs 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 I. Martin Isaacs?

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 I. Martin Isaacs.