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Applications of Wavelet Multiresolution Analysis
This work results from a selection of the contributions presented in the mini symposium “Applications of Multiresolution Analysis with “Wavelets”, presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019. The presented developments and applications cover different areas, including filtering, signal analysis for damage detection, time series analysis, solutions to boundary value problems and fractional calculus. This bunch of examples highlights the importance of multiresolution analysis to face problems in several and varied disciplines. The book is addressed to researchers in the field.
Foundations of Signal Processing
This comprehensive and accessible textbook introduces students to the basics of modern signal processing techniques.
Recent Advances in Industrial and Applied Mathematics
This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.
Veterinary Anesthesia and Analgesia, The 6th Edition of Lumb and Jones
VETERINARY ANESTHESIA AND ANALGESIA A thoroughly updated new edition of the foundational reference on veterinary anesthesia and analgesia Veterinary Anesthesia and Analgesia: The Sixth Edition of Lumb and Jones is a fully updated revision to this comprehensive, authoritative reference to all aspects of veterinary anesthesia and pain management. Encompassing both scientific principles and clinical applications, the new edition adds new knowledge, techniques, and discussion of emerging issues throughout. Fourteen new chapters significantly expand the coverage of patient monitoring modalities and nociception and pain, while presenting new information on safety culture, infection prevention and ...
A First Course in Wavelets with Fourier Analysis
A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequ...
The Stimulated Brain
The Stimulated Brain—which garnered an Honorable Mention for Biomedicine & Neuroscience at the 2015 PROSE Awards from the Association of American Publishers—presents the first integration of findings on brain stimulation from different research fields with a primary focus on Transcranial Electrical Stimulation (tES), one of the most frequently used noninvasive stimulation methods. The last decade has witnessed a significant increase in the amount of research exploring how noninvasive brain stimulation can not only modulate but also enhance cognition and brain functions. However, although Transcranial Magnetic Stimulation (TMS) and particularly tES have the potential to become more widely...
Multidisciplinary Mathematical Modelling
This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.
Biological Systems: Nonlinear Dynamics Approach
This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Appli...
Wavelets
Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research.
Fractal Dimension for Fractal Structures
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension...
