Mystic, geometer, and intuitionist : the life of L.E.J. Brouwer
著者
書誌事項
Mystic, geometer, and intuitionist : the life of L.E.J. Brouwer
Clarendon Press, c1999-
- v. 1
- v. 2
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注記
Includes bibliographical references and index
Vol. l: The Dawning revolution ; by Dirk van Dalen
Vol. 2: Hope and disillusion ; by Dirk van Dalen
内容説明・目次
- 巻冊次
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v. 1 ISBN 9780198502975
内容説明
Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in wider Dutch history. A mathematical genius with strong mystical and philosophical leanings, he advocated the intuitionist view of mathematics and science as a constructive mental activity. This drew him into a discussion with David Hilbert, the leading advocate of the formalist school, about the nature of mathematics, a debate which made Brouwer a legend during his lifetime. He also contributed significantly to research in topology, and was a member of the socio- linguistic Signific Circle. As well as his diverse mathematical interests, he had a great impact in wider Dutch society. His keen sense of justice made him a party in many conflicts, both scientific and political. He would often be involved in controversial issues, such as the campaign to undo the boycott of German scientists, and this made him a figure both of admiration and embarrassment in his native Holland.
Although his abilities won him offers from prestigious universities such as Berlin and Gottingen, he preferred to stay in Amsterdam, so that he could pursue a life of quiet unconventionality in the artist community at Laren. This book provides a sophisticated analysis of this crucial era of mathematical research, but also gives an important insight into the wider life of one of the most fascinating characters involved.
目次
- 1. Child and student
- 2. Mathematics and mysticism
- 3. The dissertation
- 4. Cantor-Schoenflies topology
- 5. The new topology
- 6. Making a career
- 7. The war years
- 8. Mathematics after the war
- 9. Politics and mathematics
- 10. The breakthrough
- 11. Bibliography of Brouwer's writingsReferences Index
- References
- INDEX
- 巻冊次
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v. 2 ISBN 9780198516200
内容説明
Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in wider Dutch history. A mathematical genius with strong mystical and philosophical leanings, he advocated the intuitionist view of mathematics and science as a constructive mental activity. This drew him into a discussion with David Hilbert, the leading advocate of the formalist school, about the nature of mathematics, a debate which made Brouwer a legend during his lifetime. He also contributed significantly to research in topology, and was a member of the socio- linguistic Signific Circle. As well as his diverse mathematical interests he had a great impact in wider Dutch society. His keen sense of justice made him a party in many conflicts, both scientific and political. He would often be involved in controversial issues, such as the campaign to undo the boycott of German scientists, and this made him a figure both of admiration and embarrassment in his native Holland.
Although his abilities won him offers from prestigious universities such as Berlin and Gottingen, he preferred to stay in Amsterdam, so that he could pursue a life of quiet unconventionality in the artist community at Laren. This book, the second in a two volume set, provides a sophisticated analysis of this crucial era of mathematical research, but also gives an important insight into the wider life of one of the most fascinating characters involved.
目次
- Preface
- 12. The Fathers of Dimension
- 13. Progress, recognition, and frictions
- 14. From Berlin to Vienna
- 15. The three Battles
- 16. The Thirties
- 17. War and Occupation
- 18. Postwar Events
- 19. The travelling Emeritus
- 20. Appendix
- References
- Index
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