This book starts out from the classical models of the space economy, associated with such names as: von Thünen, Launhardt, Weber, Christaller and Lösch. The theories are stated in terms of precise mathematical models, and are generalized by the use of results from modern topology. The mathematical tools needed - variational calculus, vector analysis, and differential equation theory - are stage by stage developed in the context of applications, and the reasoning is supported by a lavish supply of elaborate computer graphics, making even topics considered tough intuitively digestable. The reader will therefore not only acquire an understanding for the importance of including geographical space in economic models, but he will also learn to handle the mathematical tools needed for working with such models.
Puu, Mathematical Location and Land Use Theory, 2nd rev. and enl. edition
Extracts from reviews to the first edition:
"This book is an excellent introduction to the theory of continuous location of economic activities in two-dimensional space based on differential equations and to their solution by vector calculus methods.
As Puu states "good science is to be easily understood. This book is, indeed, a lucid and easily readable introduction to the fundamental concepts of spatial economic theory and the differential calculus machinery of the continuous transportation model."
K. C. Mosler in "Location Science"
"This book represents an honest attempt at introducing spatial economic theory. The author does not appear to be interested in showing off his obvious mathematical skills. His intention is to summarize the accumulated knowledge in the field and present the main results in a simple manner. He does an admirable job. Of help are the high-quality graphics, the omission of semicooked ideas and messy results, and the author's extensive experience on the subject over a long period of time."
P. S. Kanaroglou in "Environment and Planning"