Duffy Dean G. Advanced Engineering Mathematics: A Second Course with MatLAB

CRC Press, 2022. — 466 p. — ISBN 978-1032223452.Through four previous editions of Advanced Engineering Mathematics with MatLAB, the author presented a wide variety of topics needed by today's engineers. The fifth edition of that book, available now, has been broken into two parts: topics currently needed in mathematics courses and a new stand-alone volume presenting topics not often included in these courses and consequently unknown to engineering students and many professionals.The overall structure of this new book consists of two parts: transform methods and random processes. Built upon a foundation of applied complex variables, the first part covers advanced transform methods, as well as z-transforms and Hilbert transforms--transforms of particular interest to systems, communication, and electrical engineers. This portion concludes with Green's function, a powerful method of analyzing systems.The second portion presents random processes--processes that more accurately model physical and biological engineering. Of particular interest is the inclusion of stochastic calculus.The author continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of his previous books. As before, theory is presented first, then examples, and then drill problems. Answers are given in the back of the book.List of Definitions
Complex Variables
Advanced Transform Methods
The Z-Transform
The Hilbert Transform
Green’s Functions
Probability
Random Processes
Itô’s Stochastic Calculus
Answers to the Odd-Numbered Problems