The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.
As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of the essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics.
Fast Fourier Transform - Algorithms and Applications provides a thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.
Fast Fourier Transform - Algorithms and Applications is designed for senior undergraduate and graduate students, faculty, engineers, and scientists in the field, and self-learners to understand FFTs and directly apply them to their fields, efficiently. It is designed to be both a text and a reference. Thus examples, projects and problems all tied with MATLAB, are provided for grasping the concepts concretely. It also includes references to books and review papers and lists of applications, hardware/software, and useful websites. By including many figures, tables, bock diagrams and graphs, this book helps the reader understand the concepts of fast algorithms readily and intuitively. It provides new MATLAB functions and MATLAB source codes. The material in Fast Fourier Transform - Algorithms and Applications is presented without assuming any prior knowledge of FFT. This book is for any professional who wants to have a basic understanding of the latest developments in and applications of FFT. It provides a good reference for any engineer planning to work in this field, either in basic implementation or in research and development.
This book is intended to serve as a text on signals and transforms for a first year one semester graduate course, primarily for electrical engineers.
Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines.
Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences.Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material http://www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)
The chapters in this volume consider national-level evidence for the operation of Duverger’s law in the world’s largest, longest-lived and most successful democracies of Britain, Canada, India and the United States. One set of papers involves looking at the overall evidence for Duverger’s Law in these countries; the other set deals with evidence for the mechanical and incentive effects predicted by Duverger. The result is an incisive analysis of electoral and party dynamics.
Each chapter exposes how digital signal processing is applied for solving a real engineering problem used in a consumer product. The chapters are organized with a description of the problem in its applicative context and a functional review of the theory related to its solution appearing first. Equations are only used for a precise description of the problem and its final solutions. Then a step-by-step MATLAB-based proof of concept, with full code, graphs, and comments follows. The solutions are simple enough for readers with general signal processing background to understand and they use state-of-the-art signal processing principles. Applied Signal Processing: A MATLAB-Based Proof of Concept is an ideal companion for most signal processing course books. It can be used for preparing student labs and projects.
The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.
This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.
Ironically, while the scientific literature on mindfulness has surged, little attention has been paid to the critical who and how of mindfulness pedagogy. Teaching Mindfulness is the first in-depth treatment of the person and skills of the mindfulness teacher. It is intended as a practical guide to the landscape of teaching, to help those with a new or growing interest in mindfulness-based interventions to develop both the personal authenticity and the practical know-how that can make teaching mindfulness a highly rewarding and effective way of working with others. The detail of theory and praxis it contains can also help seasoned mindfulness practitioners and teachers to articulate and understand more clearly their own pedagogical approaches.
Engagingly written and enriched with vignettes from actual classes and individual sessions, this unique volume:
Places the current mindfulness-based interventions in their cultural and historical context to help clarify language use, and the integration of Eastern and Western spiritual and secular traditions
Offers a highly relational understanding of mindfulness practice that supports moment-by-moment work with groups and individuals
Provides guidance and materials for a highly experiential exploration of the reader's personal practice, embodiment, and application of mindfulness
Describes in detail the four essential skill sets of the mindfulness teacher
Proposes a comprehensive, systematic model of the intentions of teaching mindfulness as they are revealed in the mindfulness-based interventions
Includes sample scripts for a wide range of mindfulness practices, and an extensive resource section for continued personal and career development
Essential for today's practitioners and teachers of mindfulness-based interventions
Teaching Mindfulness: A Practical Guide for Clinicians and Educators brings this increasingly important discipline into clearer focus, opening dialogue for physicians, clinical and health psychologists, clinical social workers, marriage and family therapists, professional counselors, nurses, occupational therapists, physical therapists, pastoral counselors, spiritual directors, life coaches, organizational development professionals, and teachers and professionals in higher education , in short, everyone with an interest in helping others find their way into the benefits of the present moment.
The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincaré series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers.
On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, H.S.M. Coxeter, V. Dlab and C.M. Ringel, V. Kac, J. McKay, T.A. Springer, B. Kostant, P. Slodowy, R. Steinberg, W. Ebeling and several other authors, as well as the author and his colleagues from Subbotin's seminar, are presented in detail. Several proofs seem to be new.