Vibration And Damping In Distributed Systems Analysis Estimation Attenuation And Design
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Vibration And Damping In Distributed Systems
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Author : Goong Chen
language : en
Publisher: CRC Press
Release Date : 1993-09-22
Vibration And Damping In Distributed Systems written by Goong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-22 with Mathematics categories.
Vibration and Damping in Distributed Systems, Volume II discusses asymptotic methods, including equations with variable coefficients, asymptotic estimates of eigenfrequencies of membranes and plates, WKB approximations and the wave propagation method of Keller and Rubinow, which are developed and applied to scattering problems. The book provides data on the Rayleigh and max-min methods, Courant's nodal domain theorem, the numerical methods of finite-element, boundary-element and spectral types, and an asymptotic method due to Bolotin. Computer graphics are used to enhance understanding and motivate intuition concerning vibration phenomena. The book exhibits a collection of eigenmodes of membranes and plates. It illustrates special effects associated with focusing, whispering gallery and bouncing ball, as well as dynamic motion sequences of a membrane and a plate. Issues involved in experimental determination of internal damping rates and mechanisms in elastic beams are discussed.
Vibration And Damping In Distributed Systems Analysis Estimation Attenuation And Design
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Author : Goong Chen
language : en
Publisher:
Release Date : 1993
Vibration And Damping In Distributed Systems Analysis Estimation Attenuation And Design written by Goong Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Damping (Mechanics) categories.
Control Of Nonlinear Distributed Parameter Systems
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Author : Goong Chen
language : en
Publisher: CRC Press
Release Date : 2001-03-14
Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-14 with Mathematics categories.
An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics and its Applications, the University of Minnesota, and Texas A&M University.
Harmonic Analysis And Applications
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Author : John J. Benedetto
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Harmonic Analysis And Applications written by John J. Benedetto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.
Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.
Clifford Algebras In Analysis And Related Topics
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Author : John Ryan
language : en
Publisher: CRC Press
Release Date : 2018-03-09
Clifford Algebras In Analysis And Related Topics written by John Ryan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.
This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.
Fourier Analysis And Partial Differential Equations
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Author : Jose Garcia-Cuerva
language : en
Publisher: CRC Press
Release Date : 2018-01-18
Fourier Analysis And Partial Differential Equations written by Jose Garcia-Cuerva and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Mathematics categories.
Contains easy access to four actual and active areas of research in Fourier Analysis and PDE Covers a wide spectrum of topics in present research Provides a complete picture of state-of-the-art methods in the field Contains 200 tables allowing the reader speedy access to precise data
A First Course On Wavelets
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Author : Eugenio Hernandez
language : en
Publisher: CRC Press
Release Date : 1996-09-12
A First Course On Wavelets written by Eugenio Hernandez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-12 with Mathematics categories.
Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets. The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets. Some of the topics treated include: Several bases generated by a single function via translations and dilations Multiresolution analysis, compactly supported wavelets, and spline wavelets Band-limited wavelets Unconditionality of wavelet bases Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented. Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets.
Invariance Theory
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Author : Peter B. Gilkey
language : en
Publisher: CRC Press
Release Date : 2018-05-02
Invariance Theory written by Peter B. Gilkey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
Separation Of Variables For Partial Differential Equations
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Author : George Cain
language : en
Publisher: CRC Press
Release Date : 2005-11-21
Separation Of Variables For Partial Differential Equations written by George Cain and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.
Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.
Wavelets And Other Orthogonal Systems
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Author : Gilbert G. Walter
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Wavelets And Other Orthogonal Systems written by Gilbert G. Walter and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.