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Author : H. Germano Pavão
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)
Download or read book On a General Class of Trigonometric Functions and Fourier Series written by H. Germano Pavão and published by . This book was released on 2007 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. K. Bary
Publisher : Elsevier
ISBN 13 : 1483224198
Total Pages : 578 pages
Book Rating : 4.4/5 (832 download)
Download or read book A Treatise on Trigonometric Series written by N. K. Bary and published by Elsevier. This book was released on 2014-05-12 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Treatise on Trigonometric Series, Volume 1 deals comprehensively with the classical theory of Fourier series. This book presents the investigation of best approximations of functions by trigonometric polynomials. Organized into six chapters, this volume begins with an overview of the fundamental concepts and theorems in the theory of trigonometric series, which play a significant role in mathematics and in many of its applications. This text then explores the properties of the Fourier coefficient function and estimates the rate at which its Fourier coefficients tend to zero. Other chapters consider some tests for the convergence of a Fourier series at a given point. This book discusses as well the conditions under which the series does converge uniformly. The final chapter deals with adjustment of a summable function outside a given perfect set. This book is a valuable resource for advanced students and research workers. Mathematicians will also find this book useful.
Author : Antoni Zygmund
Publisher : Cambridge University Press
ISBN 13 : 9780521074773
Total Pages : 747 pages
Book Rating : 4.0/5 (747 download)
Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 1969-06-02 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald Newbold Bracewell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)
Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julius Friedländer
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.R/5 (6 download)
Download or read book General Investigation of the Convergence of Trigonometric Series Into which Arbitrary Functions are Expanded and Some New Applications of the Same written by Julius Friedländer and published by . This book was released on 1853 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. W. Gowar
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (318 download)
Download or read book Fourier Series written by N. W. Gowar and published by . This book was released on 1974 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antoni Zygmund
Publisher : Cambridge University Press
ISBN 13 : 9780521890533
Total Pages : 784 pages
Book Rating : 4.8/5 (95 download)
Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 2002 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
Author : Gregory D. Peiper
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (1 download)
Download or read book An Elementary Examination of Fourier Series by the Use of Trigonometric Functions written by Gregory D. Peiper and published by . This book was released on 1989 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harry F. Davis
Publisher : Courier Corporation
ISBN 13 : 0486140733
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)
Download or read book Fourier Series and Orthogonal Functions written by Harry F. Davis and published by Courier Corporation. This book was released on 2012-09-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 1400831237
Total Pages : 326 pages
Book Rating : 4.4/5 (8 download)
Download or read book Fourier Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2011-02-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Author : Russell L. Herman
Publisher : CRC Press
ISBN 13 : 1498773710
Total Pages : 402 pages
Book Rating : 4.4/5 (987 download)
Download or read book An Introduction to Fourier Analysis written by Russell L. Herman and published by CRC Press. This book was released on 2016-09-19 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms. After reading this book, students will be familiar with: • Convergence and summation of infinite series • Representation of functions by infinite series • Trigonometric and Generalized Fourier series • Legendre, Bessel, gamma, and delta functions • Complex numbers and functions • Analytic functions and integration in the complex plane • Fourier and Laplace transforms. • The relationship between analog and digital signals Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.
Author : Leonard Meirovitch
Publisher : Waveland Press
ISBN 13 : 1478609656
Total Pages : 825 pages
Book Rating : 4.4/5 (786 download)
Download or read book Fundamentals of Vibrations written by Leonard Meirovitch and published by Waveland Press. This book was released on 2010-06-17 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Vibrations provides a comprehensive coverage of mechanical vibrations theory and applications. Suitable as a textbook for courses ranging from introductory to graduate level, it can also serve as a reference for practicing engineers. Written by a leading authority in the field, this volume features a clear and precise presentation of the material and is supported by an abundance of physical explanations, many worked-out examples, and numerous homework problems. The modern approach to vibrations emphasizes analytical and computational solutions that are enhanced by the use of MATLAB. The text covers single-degree-of-freedom systems, two-degree-of-freedom systems, elements of analytical dynamics, multi-degree-of-freedom systems, exact methods for distributed-parameter systems, approximate methods for distributed-parameter systems, including the finite element method, nonlinear oscillations, and random vibrations. Three appendices provide pertinent material from Fourier series, Laplace transformation, and linear algebra.
Author : D. Gulick
Publisher : Springer
ISBN 13 : 3540374795
Total Pages : 324 pages
Book Rating : 4.5/5 (43 download)
Download or read book Conference on Harmonic Analysis written by D. Gulick and published by Springer. This book was released on 2006-11-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roland Duduchava
Publisher : Springer Nature
ISBN 13 : 3031628942
Total Pages : 213 pages
Book Rating : 4.0/5 (316 download)
Download or read book Tbilisi Analysis and PDE Seminar written by Roland Duduchava and published by Springer Nature. This book was released on with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond Edward Alan Christopher Paley
Publisher : American Mathematical Soc.
ISBN 13 : 0821810197
Total Pages : 196 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fourier Transforms in the Complex Domain written by Raymond Edward Alan Christopher Paley and published by American Mathematical Soc.. This book was released on 1934-12-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Munz and Szasz concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semi-exponential type with real negative zeros, trigonometric interpolation and developments in polynomials of the form $\sum^N_1A_ne^{i\lambda_nx}$, lacunary series, generalized harmonic analysis in the complex domain, the zeros of random functions, and many others.
Author : Sabir Umarov
Publisher : World Scientific
ISBN 13 : 9811245177
Total Pages : 336 pages
Book Rating : 4.8/5 (112 download)
Download or read book Mathematical Foundations Of Nonextensive Statistical Mechanics written by Sabir Umarov and published by World Scientific. This book was released on 2022-03-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-exponential function, q-Gaussian distribution, q-Fourier transform, q-central limit theorems, and other related objects are discussed rigorously with detailed mathematical rational. The book also contains recent results obtained in this direction and challenging open problems. Each chapter is accompanied with additional useful notes including the history of development and related bibliographies for further reading.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512337
Total Pages : 543 pages
Book Rating : 4.4/5 (15 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fme 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.
