Mathematical Methods for Scientists and Engineers

Provided here is a new approach to this subject, with emphasis on current topics, including non-linear systems and their role in diverse areas of modern scientific research including optics, condensed matter, astrophysics, vibration etc. A great portion of the book contains discussions of asymptomatic techniques used to study linear systems. This material has traditionally been taught at the graduate level only, but is now introduced at a lower level and is accessible to seniors as well as first year graduates concerned with mathematical methods for science and engineering methods. The text will also benefit physicists, engineers, scientists, and applied mathematicians.