03-31-2020, 07:22 AM
Mathematical Prerequisites
Modelling Transport
Ortuzar Willumsen.
Most of the mathematical prerequisites, however, are not that demanding; the reader can get by with
little more than school algebra and some calculus. We introduce first the idea of functions and some
specialised notation together with the idea of plotting functions in Cartesian (orthogonal) coordinates.
After introducing the concept of series we treat the very important topic of matrix algebra; this is
particularly important in transport as we often deal with trip and other matrices. Elements of calculus
come next, including differentiation and integration. Logarithmic and exponential functions deserve
some special attention as we will find them often in transport models. Finding maxima and minima
of functions plays an important role in model development and the generation of solution algorithms.
Finally, a few statistical concepts are introduced in the last section of this chapter. Statistics play a key
part in contemporary transport modelling techniques and this section provides only an elementary entry
point to the subject. A few other statistical concepts and techniques will be introduced in subsequent
chapters as needed.
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Modelling Transport
Ortuzar Willumsen.
Most of the mathematical prerequisites, however, are not that demanding; the reader can get by with
little more than school algebra and some calculus. We introduce first the idea of functions and some
specialised notation together with the idea of plotting functions in Cartesian (orthogonal) coordinates.
After introducing the concept of series we treat the very important topic of matrix algebra; this is
particularly important in transport as we often deal with trip and other matrices. Elements of calculus
come next, including differentiation and integration. Logarithmic and exponential functions deserve
some special attention as we will find them often in transport models. Finding maxima and minima
of functions plays an important role in model development and the generation of solution algorithms.
Finally, a few statistical concepts are introduced in the last section of this chapter. Statistics play a key
part in contemporary transport modelling techniques and this section provides only an elementary entry
point to the subject. A few other statistical concepts and techniques will be introduced in subsequent
chapters as needed.
To Read more...
Mathematical Prerequisites from Modelling Transport - Ortuzar Willumsen.pdf Size: 430.31 KB Downloads: 4
register as member and login to download attachment [pdf]
use for Educational Purposes Only