Share

Geometric Applications of Fourier Series and Spherical Harmonics

2014-05-22 MATHEMATICS
Download Geometric Applications of Fourier Series and Spherical Harmonics PDF Online Free

Author :
Release : 2014-05-22
Genre : MATHEMATICS
Kind : eBook
Book Rating : 818/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Applications of Fourier Series and Spherical Harmonics by : H. Groemer

Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer. This book was released on 2014-05-22. Available in PDF, EPUB and Kindle. Book excerpt: A full exposition of the classical theory of spherical harmonics and their use in proving stability results.

Geometric Applications of Fourier Series and Spherical Harmonics

2009-09-17 Mathematics
Download Geometric Applications of Fourier Series and Spherical Harmonics PDF Online Free

Author :
Release : 2009-09-17
Genre : Mathematics
Kind : eBook
Book Rating : 658/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Applications of Fourier Series and Spherical Harmonics by : Helmut Groemer

Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by Helmut Groemer. This book was released on 2009-09-17. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or half-spaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes. Results arising from these analytical techniques have proved useful in many applications, particularly those related to stereology. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets.

Geometric Applications of Fourier Series and Spherical Harmonics

1996-09-13 Mathematics
Download Geometric Applications of Fourier Series and Spherical Harmonics PDF Online Free

Author :
Release : 1996-09-13
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Applications of Fourier Series and Spherical Harmonics by : H. Groemer

Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer. This book was released on 1996-09-13. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics

1893 Fourier series
Download An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics PDF Online Free

Author :
Release : 1893
Genre : Fourier series
Kind : eBook
Book Rating : /5 ( reviews)

GET EBOOK


Book Synopsis An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics by : William Elwood Byerly

Download or read book An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics written by William Elwood Byerly. This book was released on 1893. Available in PDF, EPUB and Kindle. Book excerpt:

An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics

2007-01-01 Science
Download An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics PDF Online Free

Author :
Release : 2007-01-01
Genre : Science
Kind : eBook
Book Rating : 052/5 ( reviews)

GET EBOOK


Book Synopsis An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics by : William Elwood Byerly

Download or read book An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics written by William Elwood Byerly. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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).

You may also like...