Summationof The Fourier Series Of Orthogonal Functions

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Summation Of The Fourier Series Of Orthogonal Functions
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Author : Kien-Kwong Chen
language : en
Publisher:
Release Date : 1973
Summation Of The Fourier Series Of Orthogonal Functions written by Kien-Kwong Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Fourier series categories.
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.
Summation Of The Fourier Series Of Orthogonal Functions
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Author : Čen“ ”Ťien“-”Kung
language : en
Publisher:
Release Date : 1957
Summation Of The Fourier Series Of Orthogonal Functions written by Čen“ ”Ťien“-”Kung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Summation Of The Fourier Series Of Orthogonal Functions
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Author : Chien-kung Chʹen
language : en
Publisher:
Release Date : 1973
Summation Of The Fourier Series Of Orthogonal Functions written by Chien-kung Chʹen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Summation Of The Fourier Series Of Orthogonal Functions
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Author : Erdong Chen
language : en
Publisher:
Release Date : 1957
Summation Of The Fourier Series Of Orthogonal Functions written by Erdong 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.
The Fourier Transform And Its Applications
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Author : Ronald Newbold Bracewell
language : en
Publisher:
Release Date : 1978
The Fourier Transform And Its Applications written by Ronald Newbold Bracewell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Fourier transformations categories.
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.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
A Concise Handbook Of Mathematics Physics And Engineering Sciences
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2010-10-18
A Concise Handbook Of Mathematics Physics And Engineering Sciences written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-18 with Mathematics categories.
A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students
The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series
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Author : Ernest William Hobson
language : en
Publisher: CUP Archive
Release Date : 1927
The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series written by Ernest William Hobson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Calculus categories.