عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1439861846
(Number (ISBN
9781439861844
Erroneous ISBN
9781439861851
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Metaharmonic lattice point theory /
General Material Designation
[Book]
First Statement of Responsibility
Willi Freeden.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
c2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxiv, 448 p. :
Other Physical Details
ill. ;
Dimensions
24 cm.
SERIES
Series Title
Monographs and textbooks in pure and applied mathematics
GENERAL NOTES
Text of Note
"A Chapman & Hall book."
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. [431]-442) and index.
SUMMARY OR ABSTRACT
Text of Note
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.
TOPICAL NAME USED AS SUBJECT
Earth sciences-- Mathematics.
Harmonic functions.
Helmholtz equation.
Mathematical geography.
Mathematical physics.
Spherical functions.
Spherical harmonics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Freeden, W.
ORIGINATING SOURCE
Date of Transaction
20150408174534.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
