All listings for this product
Best-selling in Non-Fiction Books
Save on Non-Fiction Books
- AU $9.86Trending at AU $16.76
- AU $15.64Trending at AU $18.73
- AU $24.98Trending at AU $25.11
- AU $64.07Trending at AU $74.59
- AU $28.70Trending at AU $36.82
- AU $44.96Trending at AU $46.93
- AU $24.80Trending at AU $28.01
About this product
- DescriptionMetaharmonic 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 n-uniform distribution of lattice points. The author explains how to obtain multi-dimensional generalizations of the Euler summation formula by interpreting classical Berulli polymials 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.
- Author BiographyWilli Freeden is the head of the Geomathematics Group in the Department of Mathematics at the University of Kaiserslautern, where he has been vice president for research and technology. Dr. Freeden is also editor-in-chief of the International Journal on Geomathematics. His research interests include special functions of mathematical geophysics, partial differential equations, constructive approximation, numerical methods and scientific computing, and inverse problems in geophysics, geodesy, and satellite technology.
- Author(s)Willi Freeden
- PublisherTaylor & Francis Ltd
- Date of Publication02/05/2011
- Series TitleChapman & Hall Pure and Applied Mathematics
- Series Part/Volume Number299
- Country of PublicationUnited States
- ImprintChapman & Hall/CRC
- Content Note35 black & white illustrations, 3 black & white tables
- Weight771 g
- Width156 mm
- Height235 mm
- Spine27 mm
- Format DetailsUnsewn / adhesive bound
This item doesn't belong on this page.
Thanks, we'll look into this.