Overview
- Authors:
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Bruce Chandler
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The College of Staten Island of The City University of New York, Staten Island, USA
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Wilhelm Magnus
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New Rochelle, USA
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Table of contents (25 chapters)
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Front Matter
Pages i-viii
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The Beginning of Combinatorial Group Theory
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- Bruce Chandler, Wilhelm Magnus
Pages 3-4
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- Bruce Chandler, Wilhelm Magnus
Pages 5-10
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- Bruce Chandler, Wilhelm Magnus
Pages 11-13
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- Bruce Chandler, Wilhelm Magnus
Pages 14-21
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- Bruce Chandler, Wilhelm Magnus
Pages 22-28
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- Bruce Chandler, Wilhelm Magnus
Pages 29-50
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- Bruce Chandler, Wilhelm Magnus
Pages 51-57
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- Bruce Chandler, Wilhelm Magnus
Pages 58-67
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- Bruce Chandler, Wilhelm Magnus
Pages 68-70
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- Bruce Chandler, Wilhelm Magnus
Pages 71-74
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- Bruce Chandler, Wilhelm Magnus
Pages 75-76
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The Emergence of Combinatorial Group Theory as an Independent Field
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- Bruce Chandler, Wilhelm Magnus
Pages 79-80
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- Bruce Chandler, Wilhelm Magnus
Pages 81-90
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- Bruce Chandler, Wilhelm Magnus
Pages 91-101
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- Bruce Chandler, Wilhelm Magnus
Pages 102-112
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- Bruce Chandler, Wilhelm Magnus
Pages 113-121
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- Bruce Chandler, Wilhelm Magnus
Pages 122-140
About this book
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Authors and Affiliations
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The College of Staten Island of The City University of New York, Staten Island, USA
Bruce Chandler
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New Rochelle, USA
Wilhelm Magnus