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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."
"Spatial Capture-Recapture" provides a comprehensive how-to
manual with detailed examples of spatial capture-recapture models
based on current technology and knowledge. "Spatial
Capture-Recapture" provides you with an extensive step-by-step
analysis of many data sets using different software
implementations. The authors' approach is practical it embraces
Bayesian and classical inference strategies to give the reader
different options to get the job done. In addition, "Spatial
Capture-Recapture" provides data sets, sample code and computing
scripts in anR package.
Comprehensive reference on revolutionary new methods in ecology
makes this the first and only book on the topicEvery methodological
element has a detailed worked example with a code template,
allowing you to learn by exampleIncludes an R package that contains
all computer code and data sets on companion website"
The theory of abstract groups comes into play in an astounding number of seemingly unconnected areas like crystallography and quantum mechanics, geometry and topology, analysis and algebra, physics, chemistry and even biology. Readers need only know high school mathematics, much of which is reviewed here, to grasp this important subject. Hundreds of problems with detailed solutions illustrate the text, making important points easy to understand and remember.
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