This book offers an introduction to digital signal processing (DSP) with an emphasis on audio signals and computer music. It covers the mathematical foundations of DSP, important DSP theories including sampling, LTI systems, the z-transform, FIR/IIR filters, classic sound synthesis algorithms, various digital effects, topics in time and...

The aim of this book is to teach computer programming using examples from mathematics and the natural sciences. We have chosen to use the Python programming language because it combines remarkable power with very clean, simple, and compact syntax. Python is easy to learn and very well suited for an introduction to computer programming. Python...

• Evolution is a process operating over chromosomes...

As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of the essential...

In this textbook, I take an unconventional approach to data analysis. Its contents are heavily influenced by the idea that data analysis should help in enhancing and augmenting knowledge of the domain as represented by the concepts and statements of relation between them. According to this view, two main pathways for data analysis are...

The first edition of Fuzzy Logic with Engineering Applications (1995) was the first classroom text for undergraduates in the field. Now updated for the second time, this new edition features the latest advances in the field including material on expansion of the MLFE method using genetic algorithms, cognitive mapping, fuzzy agent-based...

With the availability of chips offering constantly increasing computational performance and functionality, design of more and more complex applications becomes possible. This is particularly true for the domain of image processing, which is characterized by huge computation efforts. Unfortunately, this evolution risks to be stopped by...

The first author, Said Elnashaie, and his wife, Shadia Elshishini, moved next door to the second author, Frank Uhlig, and his family in 2000. The two families became good neighbors and friends. Their chats covered the usual topics and occasionally included random teaching, departmental, and...

Mathematics and mathematical modelling are of central importance in computer science. For this reason the teaching concepts of mathematics in computer science have to be constantly reconsidered, and the choice of material and the motivation have to be adapted. This applies in particular to mathematical analysis, whose significance has to be...

In 1872 F. Klein proposed his Erlangen Programme in...

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s”...

Linear-quadratic optimization is one of the most exciting topics in the con trol engineering literature of recent decades. The interest in linear optimal dynamical systems, and especially in those with quadratic cost functional, can be explained by both the richness of properties these systems possess, and the pragmatic value and physical...