One of the fundamental economic problems is one of making the best use of limited resources. As a result, mathematical optimisation methods play a crucial role in economic theory. Covering the use of such methods in applied and policy contexts, this book deals not only with the main techniques (linear programming, nonlinear optimisation and dynamic programming), but also emphasizes the art of model-building and discusses fields such as optimisation over time.

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.

One of the fundamental economic problems is one of making the best use of limited resources. As a result, mathematical optimisation methods play a crucial role in economic theory. Covering the use of such methods in applied and policy contexts, this book deals not only with the main techniques (linear programming, nonlinear optimisation and dynamic programming), but also emphasizes the art of model-building and discusses fields such as optimisation over time.

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.

When starting new airlines in response to government deregulation, entrepreneurs in the U.S. and Europe reduced some traditional service qualities (to reduce costs), concentrated on non-stop services between city pairs not already so connected, improved on-time performance, and offered low fares to win leisure travelers from the incumbents and to encourage more travel. In recent developments, some of the new airlines have offered optional extras (at higher fares) to attract business travelers and entered major routes alongside the legacy carriers. Within both the U.S. and Europe, deregulation removed most geographical barriers to expansion by short-haul airlines. Later, limited deregulation spread to other world regions, where many short-haul routes connect city pairs in different countries, and where governments have retained traditional two-country mechanisms restricting who may fly. To gain access to domestic routes in other countries, some new airlines are setting up affiliate companies in neighboring countries, with each company legally controlled in the country of domicile. With air travel growing strongly, especially in Asia, a common result is intense, but potentially short-lived, competition on major routes. The recent developments give clear signposts to likely mid-term outcomes, and make this an opportune time to report on the new-airline scene. The Airline Revolution will provide valuable economic analysis of this climate to students, airline professionals advancing to senior positions, public servants and others who provide advice to governments.

When starting new airlines in response to government deregulation, entrepreneurs in the U.S. and Europe reduced some traditional service qualities (to reduce costs), concentrated on non-stop services between city pairs not already so connected, improved on-time performance, and offered low fares to win leisure travelers from the incumbents and to encourage more travel. In recent developments, some of the new airlines have offered optional extras (at higher fares) to attract business travelers and entered major routes alongside the legacy carriers. Within both the U.S. and Europe, deregulation removed most geographical barriers to expansion by short-haul airlines. Later, limited deregulation spread to other world regions, where many short-haul routes connect city pairs in different countries, and where governments have retained traditional two-country mechanisms restricting who may fly. To gain access to domestic routes in other countries, some new airlines are setting up affiliate companies in neighboring countries, with each company legally controlled in the country of domicile. With air travel growing strongly, especially in Asia, a common result is intense, but potentially short-lived, competition on major routes. The recent developments give clear signposts to likely mid-term outcomes, and make this an opportune time to report on the new-airline scene. The Airline Revolution will provide valuable economic analysis of this climate to students, airline professionals advancing to senior positions, public servants and others who provide advice to governments.