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”...
This text on geometry modeling is devoted to a number of central geometrical topics—
graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces—
and presents some elementary methods for analytical modeling and visualization
of them.
In 1872 F. Klein proposed his Erlangen Programme in...
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...
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...
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 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...
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...
This book presents an introduction to the principles of the fast Fourier transform
(FFT). It covers FFTs, frequency domain filtering, and applications to video and
audio signal processing.
As fields like communications, speech and image processing, and related areas
are rapidly developing, the FFT as one of the essential...
The origin of evolutionary algorithmswas an attempt tomimic some of the processes taking place in natural evolution. Although the details of biological evolution are not completely understood (even nowadays), there exist some points supported by strong experimental evidence:
• Evolution is a process operating over chromosomes...
Physics of Semiconductor Devices covers both basic classic topics such as energy band theory and the gradual-channel model of the MOSFET as well as advanced concepts and devices such as MOSFET short-channel effects, low-dimensional devices and single-electron transistors. Concepts are introduced to the reader in a simple way, often using...
This textbook provides a comprehensive introduction to the theories, techniques and applications of image fusion. It is aimed at advanced undergraduate and first-year graduate students in electrical engineering and computer science. It should also be useful to practicing engineers who wish to learn the concepts of image fusion and use them in...
The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential...