Introduction to Linear Algebra

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A01=Gordon Mills
algebraic modeling techniques
Author_Gordon Mills
Basic Feasible Solutions
Category=PBF
discrete variable modeling
Echelon Matrix
Elementary Column Operations
Elementary Row Operations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
General Solution Vector
Integer Requirement
Integer Solution
Interchange Rows
Iso-profit Lines
Large Proportionate Difference
Linear Integer Programming Problem
linear models for social scientists
Linear Programming Problem
Linearly Independent
matrix computation
Matrix Multiplication
Non-homogeneous Equations
Non-negative Integer Solutions
Non-negative Integer Variables
Non-singular Matrix
Null Matrix
Null Vector
Product Matrix AB
Quadratic Form
quantitative research methods
research data analysis
Scalar Algebra
Simultaneous Linear Equations
Single Linear Equation
social science statistics

Product details

  • ISBN 9780202361598
  • Weight: 317g
  • Dimensions: 152 x 229mm
  • Publication Date: 30 Aug 2007
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Paperback
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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.

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