An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics PDF Download
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Author: William Elwood Byerly
Publisher: Cosimo, Inc.
ISBN: 1602063052
Category : Science
Languages : en
Pages : 301
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Book Description
First published in 1893, Byerly's classic treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics has been used in classrooms for well over a century. This practical exposition acts as a primer for fields such as wave mechanics, advanced engineering, and mathematical physics. Topics covered include: . development in trigonometric series . convergence on Fourier's series . solution of problems in physics by the aid of Fourier's integrals and Fourier's series . zonal harmonics . spherical harmonics . cylindrical harmonics (Bessel's functions) . and more. Containing 190 exercises and a helpful appendix, this reissue of Fourier's Series will be welcomed by students of higher mathematics everywhere. American mathematician WILLIAM ELWOOD BYERLY (1849-1935) also wrote Elements of Differential Calculus (1879) and Elements of Integral Calculus (1881).
Author: William Elwood Byerly
Publisher: Cosimo, Inc.
ISBN: 1602063052
Category : Science
Languages : en
Pages : 301
Get Book Here
Book Description
First published in 1893, Byerly's classic treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics has been used in classrooms for well over a century. This practical exposition acts as a primer for fields such as wave mechanics, advanced engineering, and mathematical physics. Topics covered include: . development in trigonometric series . convergence on Fourier's series . solution of problems in physics by the aid of Fourier's integrals and Fourier's series . zonal harmonics . spherical harmonics . cylindrical harmonics (Bessel's functions) . and more. Containing 190 exercises and a helpful appendix, this reissue of Fourier's Series will be welcomed by students of higher mathematics everywhere. American mathematician WILLIAM ELWOOD BYERLY (1849-1935) also wrote Elements of Differential Calculus (1879) and Elements of Integral Calculus (1881).
Author: William Elwood Byerly
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 312
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Book Description
Author: William Elwood Byerly
Publisher:
ISBN:
Category :
Languages : en
Pages : 312
Get Book Here
Book Description
Author: William Elwood Byerly
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
William Elwood Byerly was an American mathematician at Harvard University where he was the "Perkins Professor of Mathematics". He was noted for his excellent teaching and textbooks
Author: William Elwood Byerly
Publisher:
ISBN:
Category : Fourier series
Languages : en
Pages : 314
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Book Description
Author: Loukas Grafakos
Publisher: Springer Science & Business Media
ISBN: 0387094326
Category : Mathematics
Languages : en
Pages : 494
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Book Description
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online
Author: Cornelius Lanczos
Publisher: SIAM
ISBN: 1611974526
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Originally published in 1966, this well-written and still-cited text covers Fourier analysis, a foundation of science and engineering. Many modern textbooks are filled with specialized terms and equations that may be confusing, but this book uses a friendly, conversational tone to clarify the material and engage the reader. The author meticulously develops the topic and uses 161 problems integrated into the text to walk the student down the simplest path to a solution. Intended for students of engineering, physics, and mathematics at both advanced undergraduate and graduate levels.
Author: Percival Frost
Publisher: Courier Corporation
ISBN: 9780486495873
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Accessible treatment explores parabolic curves at an infinite distance, curves in the neighborhood of the origin, forms of branches whose tangents at the origin are the coordinate axes, more. 1960 edition.
Author: James Hopwood Jeans
Publisher: Courier Corporation
ISBN: 0486441792
Category : Science
Languages : en
Pages : 381
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Book Description
This concise introduction to mechanics by a renowned scientist emphasizes fundamental physical principles rather than mathematics or applications. Hundreds of fully worked examples and exercises illuminate the text. 1907 edition.
Author: Yitzhak Katznelson
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 292
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Book Description
