mathematics

Martin Aigner

Martin Aigner 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 Martin Aigner rather than just read about it. In short: Martin Aigner (28 February 1942 – 11 October 2023) was an Austrian mathematician and professor at Freie Universität Berlin from 1974 with interests in combinatorial mathematics and graph theory. Biography Martin Aigner was born on 28 February 1942.

Key takeaways

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

Reference excerpt

Martin Aigner (28 February 1942 – 11 October 2023) was an Austrian mathematician and professor at Freie Universität Berlin from 1974 with interests in combinatorial mathematics and graph theory.

Biography Martin Aigner was born on 28 February 1942. He received his PhD from the University of Vienna. His book Proofs from THE BOOK (co-written with Günter M. Ziegler) has been translated into 12 languages. Aigner died on 11 October 2023, at the age of 81.

Awards Aigner was a recipient of a 1996 Lester R. Ford Award from the Mathematical Association of America for his expository article Turán's Graph Theorem. In 2018, Aigner received the Leroy P. Steele Prize for Mathematical Exposition (jointly with Günter M. Ziegler).

Selected publications Combinatorial Theory (1997 reprint: ISBN 3-540-61787-6, 1979: ISBN 3-540-90376-3; ) (with Günter M. Ziegler) Proofs from THE BOOK Aigner, Martin (2001). Proofs from the book. Günter M. Ziegler (2nd ed.). Berlin: Springer. ISBN 3-540-67865-4. OCLC 45223567. Aigner, Martin (2004). Das Buch der Beweise [Proofs from the book] (in German). Günter M. Ziegler (2., Aufl ed.). Berlin. ISBN 978-3-540-40185-8. OCLC 76595936.{{cite book}}: CS1 maint: location missing publisher (link) A Course in Enumeration, 2007, ISBN 3-540-39032-4 Aigner, Martin (2007). Discrete mathematics. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-4151-8. OCLC 76821172. Mathematics Everywhere. Martin Aigner (Author, Editor), Ehrhard Behrends (Editor), 2010 Alles Mathematik: Von Pythagoras zum CD-player, by Martin Aigner, Ehrhard Behrends, 2008, ISBN 3-8348-0416-9 Combinatorial search. Teubner, Stuttgart 1988, ISBN 3-519-02109-9 Graphentheorie. Eine Entwicklung aus dem 4-Farben-Problem. Teubner, Stuttgart 1984, ISBN 3-519-02068-8 Diskrete Mathematik. Mit über 500 Übungsaufgaben. Vieweg, Braunschweig/Wiesbaden 1993, ISBN 3-528-07268-7, corrected edition 12006, ISBN 3-8348-0084-8 Aigner, Martin (2013). Markov's theorem and 100 years of the uniqueness conjecture : a mathematical journey from irrational numbers to perfect matchings. Cham: Springer. ISBN 978-3-319-00888-2. OCLC 853659945.

References

Illustrations

Worked examples

Example 1 — a first encounter with Martin Aigner

Start with the simplest possible case. Write down what Martin Aigner 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 Martin Aigner 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 Martin Aigner 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 Martin Aigner

In research: Martin Aigner 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 Martin Aigner 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: Martin Aigner is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, 2023 deaths, 20th-century Austrian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Martin Aigner 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 Martin Aigner in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Martin Aigner 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.
Explain Martin Aigner out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Martin Aigner in simple terms?

Martin Aigner (28 February 1942 – 11 October 2023) was an Austrian mathematician and professor at Freie Universität Berlin from 1974 with interests in combinatorial mathematics and graph theory. Biography Martin Aigner was born on 28 February 1942.

Why does Martin Aigner 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 Martin Aigner?

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 Martin Aigner.