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."
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Studies in the History of Mathematics and Physical Sciences, 9 |
Release date: |
December 2011 |
First published: |
1982 |
Authors: |
B. Chandler
• W. Magnus
|
Dimensions: |
235 x 155 x 13mm (L x W x T) |
Format: |
Paperback
|
Pages: |
234 |
Edition: |
Softcover reprint of the original 1st ed. 1982 |
ISBN-13: |
978-1-4613-9489-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
1-4613-9489-9 |
Barcode: |
9781461394891 |
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