Metaharmonic Lattice Point Theory
By:Willi Freeden
Published on 2011-05-09 by CRC Press
Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of weighted lattice point numbers, in particular the non-uniform distribution of lattice points. The author explains how to obtain multi-dimensional generalizations of the Euler summation formula by interpreting classical Bernoulli polynomials as Green’s functions and linking them to Zeta and Theta functions. To generate multi-dimensional Euler summation formulas on arbitrary lattices, the Helmholtz wave equation must be converted into an associated integral equation using Green’s functions as bridging tools. After doing this, the weighted sums of functional values for a prescribed system of lattice points can be compared with the corresponding integral over the function. Exploring special function systems of Laplace and Helmholtz equations, this book focuses on the analytic theory of numbers in Euclidean spaces based on methods and procedures of mathematical physics. It shows how these fundamental techniques are used in geomathematical research areas, including gravitation, magnetics, and geothermal.
This Book was ranked at 9 by Google Books for keyword oscillating tool.
Book ID of Metaharmonic Lattice Point Theory's Books is 20OgshVGvyYC, Book which was written byWilli Freedenhave ETAG "VRSEPZODjY0"
Book which was published by CRC Press since 2011-05-09 have ISBNs, ISBN 13 Code is 9781439861851 and ISBN 10 Code is 1439861854
Reading Mode in Text Status is false and Reading Mode in Image Status is true
Book which have "472 Pages" is Printed at BOOK under CategoryMathematics
This Book was rated by Raters and have average rate at ""
This eBook Maturity (Adult Book) status is NOT_MATURE
Book was written in en
eBook Version Availability Status at PDF is true and in ePub is false
Book Preview
0 komentar:
Posting Komentar