This text deals with signal processing as an important aspect of electronic communications in its role of transmitting information, and the language of its expression. It develops the required mathematics in an interesting and informative way, leading to confidence on the part of the reader. The first part of the book focuses on continuous-time...
This text was designed for a one-semester course that covers the essential topics
needed for a fundamental understanding of basic statistics and its applications in
the fields of...
This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at...
The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly...
Since the first edition of Identification of Pathogenic Fungi, there has been incredible progress in the diagnosis, treatment and prevention of fungal diseases: new methods of diagnosis have been introduced, and new antifungal agents have been licensed for use. However, these developments have been offset by the emergence of resistance...
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as...
Atlas of Dermatological Manifestations of Gastrointestinal Disease provides a comprehensive compendium of digestive tract diseases with dermatological manifestations. The work is arranged by digestive symptoms, with sections based on the specific digestive disease etiology. Each section contains paired chapters of text, one on...
With the increased incidence of HPV-related genital diseases, including premalignant and malignant penile lesions, urologists and practitioners in general face numerous difficult challenges when attempting to diagnose genital lesions correctly. Despite the importance of genital lesions in the male, there are few books on the subject in the...
This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering.
The topics and application include Information Geometry, Differential...
Software reliability is one of the most important characteristics of software product quality. Its measurement and management technologies during the software product life cycle are essential to produce and maintain quality/reliable software systems. Part 1 of this book introduces several aspects of software reliability modeling and its...
Following a brief introduction and overview, early chapters cover the basic algebraic relationships of entropy, relative entropy and mutual information, AEP, entropy rates of stochastics processes and data compression, duality of data compression and the growth rate of wealth. Later chapters explore Kolmogorov complexity, channel capacity,...
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like...