185620

Springer, Dordrecht

2013

875 Pages

ISBN 978-1-4471-4615-5

L. E. J. Brouwer – topologist, intuitionist, philosopher

how mathematics is rooted in life

Dirk van Dalen

Dirk van Dalen's biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer.

Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics.
 
Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer's main interest, however, was in the foundation of mathematics whichled him to introduce, and then consolidate, constructive methods under the name "intuitionism'. This made him one of the main protagonists in the "foundation crisis' of mathematics.

As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role.

The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.

Publication details

Full citation:

van Dalen, D. (2013). L. E. J. Brouwer – topologist, intuitionist, philosopher: how mathematics is rooted in life, Springer, Dordrecht.

Table of Contents

Child and student

van Dalen Dirk

1-37

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Mathematics and mysticism

van Dalen Dirk

39-76

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The dissertation

van Dalen Dirk

77-117

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Cantor–Schoenflies topology

van Dalen Dirk

119-148

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The new topology

van Dalen Dirk

149-192

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Making a career

van Dalen Dirk

193-229

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The war years

van Dalen Dirk

231-277

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Mathematics after the war

van Dalen Dirk

279-325

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Politics and mathematics

van Dalen Dirk

327-356

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The breakthrough

van Dalen Dirk

357-394

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The fathers of dimension

van Dalen Dirk

395-434

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Progress, recognition, and frictions

van Dalen Dirk

435-490

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From Berlin to Vienna

van Dalen Dirk

491-525

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The three battles

van Dalen Dirk

527-601

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The thirties

van Dalen Dirk

603-662

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War and occupation

van Dalen Dirk

663-700

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Postwar events

van Dalen Dirk

701-781

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The restless Emeritus

van Dalen Dirk

783-832

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