(NOTES)This text focuses on the topics which are an essential part of
the engineering mathematics course: ordinary differential equations,
vector calculus, linear algebra and partial differential equations.
Advantages over competing texts: 1. The text has a large number of
examples and problems - a typical section having 25 quality problems
directly related to the text. 2. The authors use a practical engineering
approach based upon solving equations. All ideas and definitions are
introduced from this basic viewpoint, which allows engineers in their
second year to understand concepts that would otherwise be impossibly
abstract. Partial differential equations are introduced in an
engineering and science context based upon modelling of physical
problems. A strength of the manuscript is the vast number of
applications to real-world problems, each treated completely and in
sufficient depth to be self-contained. 3. Numerical analysis is
introduced in the manuscript at a completely elementary calculus level.
In fact, numerics are advertised as just an extension of the calculus
and used generally as enrichment, to help communicate the role of
mathematics in engineering applications. 4.The authors have used and
updated the book as a course text over a 10 year period. 5. Modern
outline, as contrasted to the outdated outline by Kreysig and Wylie. 6.
This is now a one year course. The text is shorter and more readable
than the current reference type manuals published all at around
1300-1500 pages