Advanced Engineering Mathematics 9th by Erwin Kreyszig
ISBN-13: 9780471728979
ISBN -10: 0471728977
This book has helped to pave the way for the present development of engineering
mathematics. By a modern approach to those areas A-G, this new edition will prepare
the student for the tasks of the present and of the future. The latter can be predicted to
some extent by a judicious look at the present trend. Among other features, this trend
shows the appearance of more complex production processes, more extreme physical
conditions (in space travel, high-speed communication, etc.), and new tasks in robotics
and communication systems (e.g., fiber optics and scan statistics on random graphs) and
elsewhere. This requires the refinement of existing methods and the creation of new ones.
It follows that students need solid knowledge of basic principles. methods, and results,
and a clear view of what engineering mathematics is all about, and that it requires
proficiency in all three phases of problem solving:
• Modeling, that is, translating a physical or other problem into a mathematical form,
into a mathematical model; this can be an algebraic equation, a differential equation,
a graph, or some other mathemalical expression .
• Solving the model by selecting and applying a suitable mathematical method, often
requiring numeric work on a computer.
• Interpreting the mathematical result in physical or other terms to see what it
practically means and implies.