This is the first book on linear algebra written specifically
for social scientists. It deals only with those aspects of the
subject applicable in the social sciences and provides a thorough
understanding of linear algebra for those who wish to use it as a
tool in the design, execution, and interpretation of research.
Linear mathematical models play an important role in all of the
social sciences. This book provides a step-by-step introduction to
those parts of linear algebra which are useful in such model
building. It illustrates some of the applications of linear
analysis and helps the reader learn how to convert his formulation
of a social science problem into algebraic terms.
The author covers matrix algebra, computational methods, linear
models involving discrete variables, and clear, complete
explanations of necessary mathematical concepts. Prior knowledge of
calculus is not required since no use is made of calculus or of
complex numbers. A novel feature of the mathematical content of the
book is the treatment of models expressed in terms of variables
which must be whole numbers (integers).
The book is distinguished by a step-by-step exposition that
allows the reader to grasp quickly and fully the principles of
linear algebra. All of the examples used to illustrate the text are
drawn from the social sciences, enabling the reader to relate the
subject to concrete problems in his field. Exercises are included
as a necessary part of the text to develop points not covered in
the text and to provide practice in the algebraic formulation of
applied problems. An appendix gives solutions (or hints) for
selected exercises.
"Gordon Mills" is an honorary professor in the department of
economics at the University of Sydney. His research interests
include transport and retailing, microeconomics, and microeconomic
policy especially regulation and privatization. He is the author of
many journal articles.
General
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