Fourier Series And Orthogonal Functions


Fourier Series And Orthogonal Functions
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Fourier Series And Orthogonal Functions


Fourier Series And Orthogonal Functions
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Author : Harry F. Davis
language : en
Publisher: Courier Corporation
Release Date : 2012-09-05

Fourier Series And Orthogonal Functions written by Harry F. Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Mathematics categories.


This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with partial derivatives, multiple integrals, vectors, and elementary differential equations will find the text both accessible and challenging. The first three chapters of the book address linear spaces, orthogonal functions, and the Fourier series. Chapter 4 introduces Legendre polynomials and Bessel functions, and Chapter 5 takes up heat and temperature. The concluding Chapter 6 explores waves and vibrations and harmonic analysis. Several topics not usually found in undergraduate texts are included, among them summability theory, generalized functions, and spherical harmonics. Throughout the text are 570 exercises devised to encourage students to review what has been read and to apply the theory to specific problems. Those preparing for further study in functional analysis, abstract harmonic analysis, and quantum mechanics will find this book especially valuable for the rigorous preparation it provides. Professional engineers, physicists, and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference as well.



Fourier Series And Orthogonal Functions


Fourier Series And Orthogonal Functions
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Author : Harry F. Davis
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01

Fourier Series And Orthogonal Functions written by Harry F. Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.


An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.



Fourier Series And Orthogonal Functions


Fourier Series And Orthogonal Functions
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Author : Harry Floyd Davis
language : en
Publisher:
Release Date : 1966

Fourier Series And Orthogonal Functions written by Harry Floyd Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.




Summation Of The Fourier Series Of Orthogonal Functions


Summation Of The Fourier Series Of Orthogonal Functions
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Author : Jian'gong Chen
language : en
Publisher:
Release Date : 1957

Summation Of The Fourier Series Of Orthogonal Functions written by Jian'gong Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Fourier series categories.




Fourier Series And Orthogonal Polynomials


Fourier Series And Orthogonal Polynomials
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Author : Dunham Jackson
language : en
Publisher: American Mathematical Soc.
Release Date : 1941-12-31

Fourier Series And Orthogonal Polynomials written by Dunham Jackson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941-12-31 with Fourier series categories.


The underlying theme of this monograph is that the fundamental simplicity of the properties of orthogonal functions and the developments in series associated with them makes those functions important areas of study for students of both pure and applied mathematics. The book starts with Fourier series and goes on to Legendre polynomials and Bessel functions. Jackson considers a variety of boundary value problems using Fourier series and Laplace's equation. Chapter VI is an overview of Pearson frequency functions. Chapters on orthogonal, Jacobi, Hermite, and Laguerre functions follow. The final chapter deals with convergence. There is a set of exercises and a bibliography. For the reading of most of the book, no specific preparation is required beyond a first course in the calculus. A certain amount of “mathematical maturity” is presupposed or should be acquired in the course of the reading.



Fourier Series With Respect To General Orthogonal Systems


Fourier Series With Respect To General Orthogonal Systems
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Author : A. Olevskii
language : en
Publisher: Springer
Release Date : 2011-11-15

Fourier Series With Respect To General Orthogonal Systems written by A. Olevskii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-15 with Mathematics categories.


The fundamental problem of the theory of Fourier series consists of the investigation of the connections between the metric properties of the function expanded, the behavior of its Fourier coefficients {cn} with respect to an ortho normal system of functions {



Orthogonal Functions


Orthogonal Functions
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Author : Giovanni Sansone
language : en
Publisher:
Release Date : 1959

Orthogonal Functions written by Giovanni Sansone and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Functions, Orthogonal categories.


Highly regarded treatise contains a rich compilation of general results and convenient criteria concerning Fourier series, Legendre series, Laguerre and Hermite polynomials. Until publication of this book, much of the material had not been available in English. First paperback edition. Translated by Ainsley H. Diamond. Foreword. Bibliography. 14 black-and-white illustrations.



Wavelets And Other Orthogonal Systems With Applications


Wavelets And Other Orthogonal Systems With Applications
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Author : Gilbert G. Walter
language : en
Publisher: CRC Press
Release Date : 1994-07-13

Wavelets And Other Orthogonal Systems With Applications 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 1994-07-13 with Mathematics categories.


This book makes accessible to both mathematicians and engineers important elements of the theory, construction, and application of orthogonal wavelets. It is integrated with more traditional orthogonal series, such as Fourier series and orthogonal polynomials. It treats the interaction of both with generalized functions (delta functions), which have played an important part in engineering theory but whose rules are often vaguely presented. Unlike most other books that are excessively technical, this text/reference presents the basic concepts and examples in a readable form. Much of the material on wavelets has not appeared previously in book form. Applications to statistics, sampling theorems, and stochastic processes are given. In particular, the close affinity between wavelets and sampling theorems is explained and developed.



Fourier Series With Respect To General Orthogonal Systems


Fourier Series With Respect To General Orthogonal Systems
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Author : A. M. Olevskij
language : de
Publisher:
Release Date : 1975

Fourier Series With Respect To General Orthogonal Systems written by A. M. Olevskij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.




Wavelets And Other Orthogonal Systems


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.