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Stress and Deformation - A Handbook on Tensors in Geology (Hardcover)
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Stress and Deformation - A Handbook on Tensors in Geology (Hardcover)
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This book of problem sets and answers, based on notes for a
graduate course in structural geology at UCLA, is a review of the
mathematics of vectors and of stress and strain, including finite
strain. The main purpose of the problem sets is to "Illuminate
branches of physics pertinent to geology, including structural
geology, glaciology, crystallography, crystal physics, the
geophysics of heat flow and others." Students of geology who have
only a modest background in mathematics may wish to become familiar
with theories of stress, strain, and other tensor quantities, so
that they can follow, and apply to their own research, developments
in modern, quantitative geology. A set of 136 progressively more
complex problems is introduced in eight chapters, which advance
from vector algebra in standard and subscript notations to the
mathematical description of finite strain and its compounding and
decomposition. A complete set of fully worked solutions for the
problems makes up the largest part of the book. With its help,
students, guided by an instructor or self-taught, can avoid
pitfalls and monitor their progress. Eventually, geologists who
have worked their way through these problems should be able to
confidently use the subscript and matrix notations and to formulate
and solve tensor problems on their own.
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